A random variable has the probability distribution table as shown. Calculate \[P ( X \leq - 1 )\] . \[\begin{array} { c | l | l | l | l | l | } \hline \boldsymbol { x } & - 3 & - 2 & - 1 & 0 & 1 \\ \hline \boldsymbol { P } ( \boldsymbol { X } = x ) & & & 0.5 & 0.2 & 0.1 \\ \hline \end{array}\] \[P ( x \leq - 1 ) =\] __________

The answer of A random variable has the probability distribution...

Find the expected value of a random variable X having the following probability distribution: \[\begin{array} { c c c c c } x & 2 & 4 & 6 & 8 \\ P ( X = x ) & \frac { 7 } { 20 } & \frac { 2 } { 20 } & \frac { 5 } { 20 } & \frac { 6 } { 20 } \end{array}\] \[E ( X ) =\] __________

The answer of Find the expected value of a random...

A random variable has the probability distribution table as shown. Calculate $P ( x \geq 5 )$ . $\begin{array} { | l | l | l | l | l | l | } \hline \boldsymbol { x } & 1 & 3 & 5 & 7 & 9 \\ \hline \boldsymbol { P } ( \boldsymbol { X } = \boldsymbol { x } ) & 0.2 & 0.1 & 0.3 & & 0.2 \\ \hline \end{array}$

A) 0.4 B) 0.5 C) 0.2 D) 0.7 E) 0.8 A) 0.4 B) 0.5 C) 0.2 D) 0.7 E) 0.8

Exam 9: Random Variables and Statistics

Assume that on a standardized test of 100 questions, a person has a probability of 84% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.)

(Short Answer)

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Question 101

The mathematics final exam scores for the students in your study group are 89%, 83%, 95%, 67%, 92%, and 80%. List the values of X for all the outcomes.

(Multiple Choice)

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Question 102

X is a binomial variable with $n = 6$ and $p = 0.6$ . Compute $P ( X \leq 2 )$ . Round your answer to five decimal places.

(Multiple Choice)

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Question 103

According to a July, 1999, article in the New York Times, 13.5% of Internet stocks that entered the market in 1999 ended up trading below their initial offering prices. If you were an investor who purchased 11 Internet stocks at their initial offering prices, what was the probability that at least 10 of them would end up trading at or above their initial offering price (Round your answer to four decimal places.) ?

(Multiple Choice)

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Question 104

You are performing five independent Bernoulli trials with $p = 0.1$ and $q = 0.9$ . Calculate the probability of no failures. Round your answer to four decimal places.

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Question 105

Find the median of 7, 4, 5, 6, 13, 7, 23, and 3.

(Multiple Choice)

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Question 106

According to a study, the probability that a randomly selected teenager watched a rented video at least once during a week was 0.78. What is the probability that at least 8 teenagers in a group of 10 watched a rented movie at least once last week Express your answer to the nearest hundredth. ?

(Multiple Choice)

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Question 107

A random variable has the probability distribution table as shown. Calculate $P ( X \leq - 1 )$ . -3 -2 -1 0 1 ( =x) 0.5 0.2 0.1 $P ( x \leq - 1 ) =$ __________

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Question 108

It is known that 69% of all the ZeroCal hamburger patties produced by your factory actually contain more than 1,000 calories. Compute the probability distribution for $n = 50$ Bernoulli trials. What is the most likely value for the number of burgers in a sample of 50 that contain more than 1,000 calories

(Multiple Choice)

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Question 109

Compute the (sample) variance and the standard deviation for the data. $5,2,8 , - 3,0,12$ Please round your answers to two decimal places, if necessary. $s ^ { 2 } =$ $s =$

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Question 110

Give a sample of 9 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order.

(Essay)

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Question 111

Give a sample of 8 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order.

(Multiple Choice)

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Question 112

If we model after-tax household income with a normal distribution, then the figures of a 1995 study imply the information in the following table. Assume that the distribution of incomes in each country is normal, and round all percentages to the nearest whole number. What percentage of German households are either very wealthy (income at least $100,000) or very poor (income at most $12,000) Express your answer to the nearest 1%. Country U.S. Canada Switzerland Germany Sweden Mean household income \ 38,000 \ 35,000 \ 39,000 \ 34,000 \ 32,000 Standard deviation \ 21,000 \ 17,000 \ 16,000 \ 14,000 \ 11,000 __________% of households

(Short Answer)

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Question 113

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. $Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. Round your answer to four decimal places. P ( 0.6 \leq Z \leq 1.88 ) = $ Round your answer to four decimal places. $P ( 0.6 \leq Z \leq 1.88 ) =$

(Short Answer)

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Question 114

The table shows crashworthiness ratings for several categories of motor vehicles. Take X as the crash-test rating of a small car, Y as the crash-test rating for a small SUV, and so on, as shown in the table. Overall Frontal Crash Test Rating Number Tested (Good) (Acceptable) (Marginal) (Poor) Small Cars X 20 1 13 3 3 Small SUVs Y 10 1 4 4 1 Medium SUVs Z 15 3 5 3 4 Passenger Vans U 13 3 0 3 7 Midsize Cars V 15 3 5 0 7 Large Cars W 19 9 5 3 2 Compute $P ( Y \leq 1 )$ . $The table shows crashworthiness ratings for several categories of motor vehicles. Take X as the crash-test rating of a small car, Y as the crash-test rating for a small SUV, and so on, as shown in the table. \begin{array}{|l|l|l|l|l|l|}\hline&&\text { Overall Frontal Crash Test Rating }\\ \hline & \text { Number Tested } & \begin{array}{l} \mathbf{3} \\ \text { (Good) } \end{array} & \begin{array}{l} \mathbf{2} \\ \text { (Acceptable) } \end{array} & \begin{array}{l} \mathbf{1} \\ \text { (Marginal) } \end{array} & \begin{array}{l} \mathbf{0} \\ \text { (Poor) } \end{array} \\ \hline \text { Small Cars } X & 20 & 1 & 13 & 3 & 3 \\ \hline \text { Small SUVs } Y & 10 & 1 & 4 & 4 & 1 \\ \hline \text { Medium SUVs } Z & 15 & 3 & 5 & 3 & 4 \\ \hline \text { Passenger Vans } U & 13 & 3 & 0 & 3 & 7 \\ \hline \text { Midsize Cars } V & 15 & 3 & 5 & 0 & 7 \\ \hline \text { Large Cars } W & 19 & 9 & 5 & 3 & 2 \\ \hline \end{array} Compute P ( Y \leq 1 ) .$

(Multiple Choice)

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Question 115

11 darts are thrown at a dartboard. The probability of hitting a bull's-eye is 0.1. Let X be the number of bull's-eyes hit. Calculate the expected value of the given random variable X. $E ( X ) =$ __________

(Short Answer)

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Question 116

Find the expected value of a random variable X having the following probability distribution: x 2 4 6 8 P(X=x) $E ( X ) =$ __________

(Short Answer)

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Question 117

A random variable has the probability distribution table as shown. Calculate $P ( x \geq 5 )$ . 1 3 5 7 9 ( = ) 0.2 0.1 0.3 0.2

(Multiple Choice)

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Question 118

Assume that on a standardized test of 100 questions, a person has a probability of 86% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.)

(Multiple Choice)

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Question 119

Given the data. $2.4 , - 5.2,4.7 , - 0.5 , - 0.5$ Compute the median.

(Multiple Choice)

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Question 120

Showing 101 - 120 of 178

Assume that on a standardized test of 100 questions, a person has a probability of 84% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.)

The mathematics final exam scores for the students in your study group are 89%, 83%, 95%, 67%, 92%, and 80%. List the values of X for all the outcomes.

X is a binomial variable with $n = 6$ and $p = 0.6$ . Compute $P ( X \leq 2 )$ . Round your answer to five decimal places.

You are performing five independent Bernoulli trials with $p = 0.1$ and $q = 0.9$ . Calculate the probability of no failures. Round your answer to four decimal places.

Find the median of 7, 4, 5, 6, 13, 7, 23, and 3.

According to a study, the probability that a randomly selected teenager watched a rented video at least once during a week was 0.78. What is the probability that at least 8 teenagers in a group of 10 watched a rented movie at least once last week Express your answer to the nearest hundredth. ?

A random variable has the probability distribution table as shown. Calculate $P ( X \leq - 1 )$ . -3 -2 -1 0 1 ( =x) 0.5 0.2 0.1 $P ( x \leq - 1 ) =$ __________

Compute the (sample) variance and the standard deviation for the data. $5,2,8 , - 3,0,12$ Please round your answers to two decimal places, if necessary. $s ^ { 2 } =$ $s =$

Give a sample of 9 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order.

Give a sample of 8 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order.

11 darts are thrown at a dartboard. The probability of hitting a bull's-eye is 0.1. Let X be the number of bull's-eyes hit. Calculate the expected value of the given random variable X. $E ( X ) =$ __________

Find the expected value of a random variable X having the following probability distribution: x 2 4 6 8 P(X=x) $E ( X ) =$ __________

A random variable has the probability distribution table as shown. Calculate $P ( x \geq 5 )$ . 1 3 5 7 9 ( = ) 0.2 0.1 0.3 0.2

Assume that on a standardized test of 100 questions, a person has a probability of 86% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.)

Given the data. $2.4 , - 5.2,4.7 , - 0.5 , - 0.5$ Compute the median.

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Matrix Algebra and Applications

Linear Programming

Sets and Counting

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Introduction to the Derivative

Techniques of Differentiation

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Exam 9: Random Variables and Statistics

​Assume that on a standardized test of 100 questions, a person has a probability of 84% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.) ​

The mathematics final exam scores for the students in your study group are 89%, 83%, 95%, 67%, 92%, and 80%. ​ List the values of X for all the outcomes. ​

X is a binomial variable with n=6n = 6n=6 and p=0.6p = 0.6p=0.6 . Compute P(X≤2)P ( X \leq 2 )P(X≤2) . Round your answer to five decimal places.

You are performing five independent Bernoulli trials with p=0.1p = 0.1p=0.1 and q=0.9q = 0.9q=0.9 . Calculate the probability of no failures. Round your answer to four decimal places.

Find the median of 7, 4, 5, 6, 13, 7, 23, and 3. ​

According to a study, the probability that a randomly selected teenager watched a rented video at least once during a week was 0.78. What is the probability that at least 8 teenagers in a group of 10 watched a rented movie at least once last week Express your answer to the nearest hundredth. ?

A random variable has the probability distribution table as shown. Calculate P(X≤−1)P ( X \leq - 1 )P(X≤−1) . -3 -2 -1 0 1 ( =x) 0.5 0.2 0.1 ​ P(x≤−1)=P ( x \leq - 1 ) =P(x≤−1)= __________

Compute the (sample) variance and the standard deviation for the data. ​ 5,2,8,−3,0,125,2,8 , - 3,0,125,2,8,−3,0,12 ​ Please round your answers to two decimal places, if necessary. ​ s2=s ^ { 2 } =s2= __________ ​ s=s =s= __________

Give a sample of 9 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order.

Give a sample of 8 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order. ​

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. ​ ​ Round your answer to four decimal places. ​ P(0.6≤Z≤1.88)=P ( 0.6 \leq Z \leq 1.88 ) =P(0.6≤Z≤1.88)= __________

11 darts are thrown at a dartboard. The probability of hitting a bull's-eye is 0.1. Let X be the number of bull's-eyes hit. Calculate the expected value of the given random variable X. ​ E(X)=E ( X ) =E(X)= __________

Find the expected value of a random variable X having the following probability distribution: x 2 4 6 8 P(X=x) ​ E(X)=E ( X ) =E(X)= __________

A random variable has the probability distribution table as shown. Calculate P(x≥5)P ( x \geq 5 )P(x≥5) . 1 3 5 7 9 ( = ) 0.2 0.1 0.3 0.2

​Assume that on a standardized test of 100 questions, a person has a probability of 86% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.) ​

Given the data. 2.4,−5.2,4.7,−0.5,−0.52.4 , - 5.2,4.7 , - 0.5 , - 0.52.4,−5.2,4.7,−0.5,−0.5 Compute the median.

Functions and Applications

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Probability

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Assume that on a standardized test of 100 questions, a person has a probability of 84% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.)

The mathematics final exam scores for the students in your study group are 89%, 83%, 95%, 67%, 92%, and 80%. List the values of X for all the outcomes.

X is a binomial variable with $n = 6$ and $p = 0.6$ . Compute $P ( X \leq 2 )$ . Round your answer to five decimal places.

You are performing five independent Bernoulli trials with $p = 0.1$ and $q = 0.9$ . Calculate the probability of no failures. Round your answer to four decimal places.

Find the median of 7, 4, 5, 6, 13, 7, 23, and 3.

A random variable has the probability distribution table as shown. Calculate $P ( X \leq - 1 )$ . -3 -2 -1 0 1 ( =x) 0.5 0.2 0.1 $P ( x \leq - 1 ) =$ __________

Compute the (sample) variance and the standard deviation for the data. $5,2,8 , - 3,0,12$ Please round your answers to two decimal places, if necessary. $s ^ { 2 } =$ $s =$

Give a sample of 8 scores with mean 1 and with median ≠ mean. Arrange the scores in ascending order.

11 darts are thrown at a dartboard. The probability of hitting a bull's-eye is 0.1. Let X be the number of bull's-eyes hit. Calculate the expected value of the given random variable X. $E ( X ) =$ __________

Find the expected value of a random variable X having the following probability distribution: x 2 4 6 8 P(X=x) $E ( X ) =$ __________

A random variable has the probability distribution table as shown. Calculate $P ( x \geq 5 )$ . 1 3 5 7 9 ( = ) 0.2 0.1 0.3 0.2

Assume that on a standardized test of 100 questions, a person has a probability of 86% of answering any particular question correctly. Find the probability of answering between 75 and 85 questions, inclusive, correctly. (Assume independence, and round your answer to four decimal places.)

Given the data. $2.4 , - 5.2,4.7 , - 0.5 , - 0.5$ Compute the median.