Calculate the expected value of X for the given probability distribution: \[\begin{array} { c c c c c c c } x & - 5 & - 1 & 0 & 2 & 5 & 10 \\ P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5 \end{array}\] Round your answer to two decimal places if necessary.

A) $E ( X ) = 5.23$ B) $E ( X ) = 4.89$ C) $E ( X ) = 6.1$ D) $E ( X ) = 5.3$ E) $E ( X ) = 5.1$ A) $E ( X ) = 5.23$ B) $E ( X ) = 4.89$ C) $E ( X ) = 6.1$ D) $E ( X ) = 5.3$ E) $E ( X ) = 5.1$

Calculate the standard deviation of X for the probability distribution. \[\begin{array} { | c | c | c | c | c | } \hline x & 2 & 4 & 3 & 5 \\ \hline P ( X = x ) & 0.3 & 0.1 & 0.2 & 0.4 \\ \hline \end{array}\] Round your answer to two decimal places. \[\sigma =\] __________

The answer of Calculate the standard deviation of X for...

If we model after-tax household income by 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 bell-shaped and symmetric. \[\begin{array} { | c | c | c | c | c | c | } \hline \text { Country } & \text { U.S. } & \text { Canada } & \text { Switzerland } & \text { Germany } & \text { Sweden } \\ \hline \begin{array} { c } \text { Mean Household } \\ \text { Income } \end{array} & \$ 38,000 & \$ 35,000 & \$ 39,000 & \$ 34,000 & \$ 32,000 \\ \hline \text { Standard Deviation } & \$ 21,000 & \$ 17,000 & \$ 16,000 & \$ 14,000 & \$ 11,000 \\ \hline \end{array}\] If we define a "poor" household as one whose after-tax income is at least 1.3 standard deviations below the mean, find the household income of a poor family in Switzerland.

A) $59,800 or less B) $59,800 or more C) $18,200 or less D) $16,000 or less E) $18,200 or more A) $59,800 or less B) $59,800 or more C) $18,200 or less D) $16,000 or less E) $18,200 or more

Calculate the standard deviation of X for the probability distribution. Round your answer to two decimal places if necessary. \[\begin{array} { | c | c | c | c | c | c | c | } \hline x & - 19 & - 15 & 3 & 13 & 22 & 30 \\ \hline P ( X = x ) & 0.2 & 0.1 & 0.1 & 0.1 & 0 & 0.5 \\ \hline \end{array}\] \[\sigma =\] __________

The answer of Calculate the standard deviation of X for...

Exam 9: Random Variables and Statistics

In a large on-the-job training program, half of the participants are female and half are male. In a random sample of 5 participants, what is the probability that an investigator will draw at least 2 females Round your answer to four decimal places.

(Short Answer)

4.7/5

(39)

Question 161

Kent's Tents has 7 green knapsacks and 3 yellow ones in stock. Curt selects 4 of them at random. Let X be the number of green knapsacks he selects. Fill in the probability distribution table. x 1 2 3 4 P(X=x) Find $P ( X \leq 2 )$ . Round your answer to three decimal places. $P ( X \leq 2 ) =$ __________

(Essay)

4.9/5

(30)

Question 162

The following is a sample of the percentage increases in the price of a house in eight regions of the U.S. 75, 125, 160, 160, 160, 225, 225, 300 Compute the standard deviation of the given sample. Please, use the value for mean, rounded to the nearest whole number in your calculations. Round answer to the nearest whole number.

(Multiple Choice)

4.7/5

(37)

Question 163

Find the median of $9,3,5,8,15,9,23$ and 1. $m =$ __________

(Short Answer)

4.8/5

(31)

Question 164

Let X be the value of the smaller number when two dice are rolled. Find the value of X for the outcome (5, 6).

(Multiple Choice)

4.8/5

(30)

Question 165

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. $P ( 0.7 < Z < 1.87 )$ Round your answer to four decimal places.

(Multiple Choice)

4.8/5

(31)

Question 166

Following is a sample of tow ratings (in pounds) for some popular 2000 model sport utility vehicles. $6,500,7,500,7,400,9,500,2,800,1,800$ Compute the mean. Please round the answer to the nearest thousandth. $\bar { x } \approx$ Compute the median. $m =$ Fill in the blank: There were as many sampled SUVs with a tow rating of more than __ pounds as there were with tow ratings below that.

(Short Answer)

4.7/5

(35)

Question 167

The mean batting average in major league baseball is about 0.250. Supposing that batting averages are normally distributed, that the standard deviation in the averages is 0.05, and that there are 250 batters, what is the expected number of batters with an average of at least 0.400 Round your answer to two decimal places. ? The answer is __________ batters.

(Short Answer)

4.9/5

(37)

Question 168

The following is a sample of the percentage increases in the price of a house in eight regions of the U.S. 75, 125, 150, 150, 150, 215, 215, 300 Compute the mean of the given sample. Round answer to the nearest whole number. $\bar { x } =$ Compute the standard deviation of the given sample. Use the rounded value for the mean in your calculations. Round answer to the nearest whole number. $s =$ Assuming the distribution of percentage housing price increases for all regions is symmetric and bell-shaped, 68 percent of all regions in the U.S. reported housing increases between and . Please, use the rounded value for the standard deviation here. Find the percentage of scores in the sample that fall in this range. Please round your answer to the nearest whole number. __%

(Short Answer)

4.8/5

(40)

Question 169

In 2000, 30 percent of all teenagers in some country had checking accounts. Your bank, TeenChex Inc., is interested in targeting teenagers who do not already have a checking account. TeenChex selects a random sample of 1,000 teenagers. Find the number of teenagers without checking accounts it can expect. $\mu =$ Find the standard deviation of this number. Please, round your answer to one decimal place. $\sigma =$ Fill in the missing quantities. Please round answers to the nearest whole number. There is an approximately 95 percent chance that between and teenagers in the sample will not have checking accounts.

(Short Answer)

4.8/5

(42)

Question 170

Calculate the expected value of X for the given probability distribution: x -5 -1 0 2 5 10 P(X=x) 0.1 0.1 0.1 0.1 0.1 0.5 Round your answer to two decimal places if necessary.

(Multiple Choice)

4.9/5

(31)

Question 171

Calculate the standard deviation of X for the probability distribution. x 2 4 3 5 P(X=x) 0.3 0.1 0.2 0.4 Round your answer to two decimal places. $\sigma =$ __________

(Short Answer)

4.9/5

(29)

Question 172

If we model after-tax household income by 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 bell-shaped and symmetric. 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 If we define a "poor" household as one whose after-tax income is at least 1.3 standard deviations below the mean, find the household income of a poor family in Switzerland.

(Multiple Choice)

4.9/5

(39)

Question 173

This exercise is based on the following information, gathered from student testing of a statistical software package called MODSTAT. Students were asked to complete certain tasks using the software, without any instructions. The results were as follows. (Assume that the time for each task is normally distributed.) Assuming that the time it takes a student to complete each task is independent of the others, find the probability that a student will take at least 10 minutes to complete each of Tasks 1 and 2. Round your answer to four decimal places. Task Mean Time (minutes) Standard Deviation Task 1: Descriptive Analysis of Data 11.4 5.0 Task 2: Standardizing Scores 11.2 8.0 Task 3: Poisson Probability Table 7.3 3.9 Task 4: Areas Under Normal Curve 9.1 5.5

(Multiple Choice)

4.8/5

(38)

Question 174

Select an electric utility company at random; R is the exact amount of electricity, in gigawatt hours, it supplies in a year. Classify the random variable R as finite, discrete infinite, or continuous.

(Multiple Choice)

4.8/5

(36)

Question 175

Calculate the standard deviation of X for the probability distribution. Round your answer to two decimal places if necessary. x -19 -15 3 13 22 30 P(X=x) 0.2 0.1 0.1 0.1 0 0.5 $\sigma =$ __________

(Short Answer)

4.7/5

(33)

Question 176

Suppose X is a normal random variable with $\mu = 30$ and $\sigma = 10$ . Find the value of $P ( 24 \leq X \leq 46 )$ . Please, round the answer to four decimal places.

(Multiple Choice)

4.8/5

(41)

Question 177

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 Swedish 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

(Multiple Choice)

4.8/5

(32)

Question 178

In a large on-the-job training program, half of the participants are female and half are male. In a random sample of 5 participants, what is the probability that an investigator will draw at least 2 females Round your answer to four decimal places.

Find the median of $9,3,5,8,15,9,23$ and 1. $m =$ __________

Let X be the value of the smaller number when two dice are rolled. Find the value of X for the outcome (5, 6).

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. $P ( 0.7 < Z < 1.87 )$ Round your answer to four decimal places.

Calculate the expected value of X for the given probability distribution: x -5 -1 0 2 5 10 P(X=x) 0.1 0.1 0.1 0.1 0.1 0.5 Round your answer to two decimal places if necessary.

Calculate the standard deviation of X for the probability distribution. x 2 4 3 5 P(X=x) 0.3 0.1 0.2 0.4 Round your answer to two decimal places. $\sigma =$ __________

Select an electric utility company at random; R is the exact amount of electricity, in gigawatt hours, it supplies in a year. Classify the random variable R as finite, discrete infinite, or continuous.

Calculate the standard deviation of X for the probability distribution. Round your answer to two decimal places if necessary. x -19 -15 3 13 22 30 P(X=x) 0.2 0.1 0.1 0.1 0 0.5 $\sigma =$ __________

Suppose X is a normal random variable with $\mu = 30$ and $\sigma = 10$ . Find the value of $P ( 24 \leq X \leq 46 )$ . Please, round the answer to four decimal places.

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

Exam 9: Random Variables and Statistics

In a large on-the-job training program, half of the participants are female and half are male. In a random sample of 5 participants, what is the probability that an investigator will draw at least 2 females Round your answer to four decimal places.

Find the median of 9,3,5,8,15,9,239,3,5,8,15,9,239,3,5,8,15,9,23 and 1. ​ m=m =m= __________

Let X be the value of the smaller number when two dice are rolled. ​ Find the value of X for the outcome (5, 6). ​

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. P(0.7<Z<1.87)P ( 0.7 < Z < 1.87 )P(0.7<Z<1.87) Round your answer to four decimal places.

Calculate the expected value of X for the given probability distribution: x -5 -1 0 2 5 10 P(X=x) 0.1 0.1 0.1 0.1 0.1 0.5 Round your answer to two decimal places if necessary.

Calculate the standard deviation of X for the probability distribution. x 2 4 3 5 P(X=x) 0.3 0.1 0.2 0.4 ​ Round your answer to two decimal places. ​ σ=\sigma =σ= __________

Select an electric utility company at random; R is the exact amount of electricity, in gigawatt hours, it supplies in a year. ​ Classify the random variable R as finite, discrete infinite, or continuous. ​

Calculate the standard deviation of X for the probability distribution. Round your answer to two decimal places if necessary. x -19 -15 3 13 22 30 P(X=x) 0.2 0.1 0.1 0.1 0 0.5 ​ σ=\sigma =σ= __________

Suppose X is a normal random variable with μ=30\mu = 30μ=30 and σ=10\sigma = 10σ=10 . Find the value of P(24≤X≤46)P ( 24 \leq X \leq 46 )P(24≤X≤46) . Please, round the answer to four decimal places.

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

Find the median of $9,3,5,8,15,9,23$ and 1. $m =$ __________

Let X be the value of the smaller number when two dice are rolled. Find the value of X for the outcome (5, 6).

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. $P ( 0.7 < Z < 1.87 )$ Round your answer to four decimal places.

Calculate the standard deviation of X for the probability distribution. x 2 4 3 5 P(X=x) 0.3 0.1 0.2 0.4 Round your answer to two decimal places. $\sigma =$ __________

Select an electric utility company at random; R is the exact amount of electricity, in gigawatt hours, it supplies in a year. Classify the random variable R as finite, discrete infinite, or continuous.

Calculate the standard deviation of X for the probability distribution. Round your answer to two decimal places if necessary. x -19 -15 3 13 22 30 P(X=x) 0.2 0.1 0.1 0.1 0 0.5 $\sigma =$ __________

Suppose X is a normal random variable with $\mu = 30$ and $\sigma = 10$ . Find the value of $P ( 24 \leq X \leq 46 )$ . Please, round the answer to four decimal places.