Question 1

Consider a binomial probability experiment with n = 3 and p = 0.1.Then,the probability of x = 0 is

Accepted Answer

A) 0.0000 
B) 0.0001 
C) 0.001 
D) 0.729 
A) 0.0000 
B) 0.0001 
C) 0.001 
D) 0.729

Question 2

Exhibit 6-3
Consider the continuous random variable X,which has a uniform distribution over the interval from 20 to 28.
-Refer to Exhibit 6-3.The probability density function has what value in the interval between 20 and 28?

Accepted Answer

A) 0 
B) 0.050 
C) 0.125 
D) 1.000 
A) 0 
B) 0.050 
C) 0.125 
D) 1.000

Question 3

The standard deviation of a standard normal distribution

Accepted Answer

A) is always equal to zero 
B) is always equal to one 
C) can be any positive value 
D) can be any value 
A) is always equal to zero 
B) is always equal to one 
C) can be any positive value 
D) can be any value

Question 4

For a standard normal distribution,the probability of obtaining a z value of less than 1.6 is

Accepted Answer

A) 0.1600 
B) 0.0160 
C) 0.0016 
D) 0.9452 
A) 0.1600 
B) 0.0160 
C) 0.0016 
D) 0.9452

Question 5

Approximate the following binomial probabilities by the use of normal approximation.
a.P(x < 12,n = 50,p = 0.3)
b.P(12 < x < 18,n = 50,p = 0.3)

Accepted Answer

The answer of Approximate the following binomial probabilities by the...

Question 6

Exhibit 6-9
The average price of personal computers manufactured by MNM Company is $1,200 with a standard deviation of $220.Furthermore,it is known that the computer prices manufactured by MNM are normally distributed.
-Refer to Exhibit 6-9.What is the probability that a randomly selected computer will have a price of at least $1,530?

Accepted Answer

A) 0.0668 
B) 0.5668 
C) 0.4332 
D) 1.4332 
A) 0.0668 
B) 0.5668 
C) 0.4332 
D) 1.4332

Question 7

Exhibit 6-9
The average price of personal computers manufactured by MNM Company is $1,200 with a standard deviation of $220.Furthermore,it is known that the computer prices manufactured by MNM are normally distributed.
-Refer to Exhibit 6-9.What is the minimum value of the middle 95% of computer prices?

Accepted Answer

A) $1,768.80 
B) $1,295.80 
C) $2,400.00 
D) $768.80 
A) $1,768.80 
B) $1,295.80 
C) $2,400.00 
D) $768.80

Question 8

A continuous probability distribution that is useful in describing the time,or space,between occurrences of an event is a(n)

Accepted Answer

A) normal probability distribution 
B) uniform probability distribution 
C) exponential probability distribution 
D) Poisson probability distribution 
A) normal probability distribution 
B) uniform probability distribution 
C) exponential probability distribution 
D) Poisson probability distribution

Question 9

Z is a standard normal random variable.The P(Z > 2.11)equals

Accepted Answer

A) 0.4821 
B) 0.9821 
C) 0.5 
D) 0.0174 
A) 0.4821 
B) 0.9821 
C) 0.5 
D) 0.0174

Question 10

For a continuous random variable x,the probability density function f(x)represents

Accepted Answer

A) the probability at a given value of x 
B) the area under the curve at x 
C) the area under the curve to the right of x 
D) the height of the function at x 
A) the probability at a given value of x 
B) the area under the curve at x 
C) the area under the curve to the right of x 
D) the height of the function at x

Question 11

The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months.
a.What is the probability that a randomly selected watch will be in working condition for more than five years?
b.The company has a three-year warranty period on their watches.What percentage of their watches will be in operating condition after the warranty period?
c.What is the minimum and the maximum life expectancy of the middle 95% of the watches?
d.Ninety-five percent of the watches will have a life expectancy of at least how many months?

Accepted Answer

a.0.0668
b.93.32%
c.

Question 12

Approximate the following binomial probabilities by the use of normal approximation.Twenty percent of students who finish high school do not go to college.What is the probability that in a sample of 80 high school students
a.exactly 10 will not go to college?
b.70 or more will go to college?
c.fourteen or fewer will not go to college?

Accepted Answer

a.0.0274
b

Question 13

In a standard normal distribution,the probability that Z is greater than zero is

Accepted Answer

A) 0.5 
B) equal to 1 
C) at least 0.5 
D) 1.96 
A) 0.5 
B) equal to 1 
C) at least 0.5 
D) 1.96

Question 14

The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500.
a.The mayor of Daisy City makes $2,250 a month.What percentage of Daisy City's residents has incomes that are more than the mayor's?
b.Individuals with incomes of less than $1,985 per month are exempt from city taxes.What percentage of residents is exempt from city taxes?
c.What are the minimum and the maximum incomes of the middle 95% of the residents?
d.Two hundred residents have incomes of at least $4,440 per month.What is the population of Daisy City?

Accepted Answer

a.93.32%
b.2.12%
c.M

Question 15

Exhibit 6-5
The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.
-Refer to Exhibit 6-5.The probability that she will finish her trip in 80 minutes or less is

Accepted Answer

A) 0.02 
B) 0.8 
C) 0.2 
D) 1.00 
A) 0.02 
B) 0.8 
C) 0.2 
D) 1.00

Question 16

Z is a standard normal random variable.The P (1.41 < Z < 2.85)equals

Accepted Answer

A) 0.4978 
B) 0.4207 
C) 0.9185 
D) 0.0771 
A) 0.4978 
B) 0.4207 
C) 0.9185 
D) 0.0771

Question 17

For a standard normal distribution,the probability of obtaining a z value between -2.4 to -2.0 is

Accepted Answer

A) 0.4000 
B) 0.0146 
C) 0.0400 
D) 0.5000 
A) 0.4000 
B) 0.0146 
C) 0.0400 
D) 0.5000

Question 18

The prices of condos in a city are normally distributed with a mean of $90,000 and a standard deviation of $28,000.
a.The city government exempts the cheapest 6.68% of the condos from city taxes.What is the maximum price of the condos that will be exempt from city taxes?
b.If 1.79% of the most expensive condos are subject to a luxury tax,what is the minimum price of condos that will be subject to the luxury tax?

Accepted Answer

a.$48,000

Question 19

X is a normally distributed random variable with a mean of 5 and a variance of 4.The probability that X is greater than 10.52 is

Accepted Answer

A) 0.0029 
B) 0.0838 
C) 0.4971 
D) 0.9971 
A) 0.0029 
B) 0.0838 
C) 0.4971 
D) 0.9971

Question 20

A professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standard deviation of 10.
a.The professor has informed us that 16.6 percent of her students received grades of A.What is the minimum score needed to receive a grade of A?
b.If 12.1 percent of her students failed the course and received F's,what was the maximum score among those who received an F?
c.If 33 percent of the students received grades of B or better (i.e. ,A's and B's),what is the minimum score of those who received a B?

Accepted Answer

a.87.7
b.6

Consider a binomial probability experiment with n = 3 and p = 0.1.Then,the probability of x = 0 is

Exhibit 6-3 Consider the continuous random variable X,which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-3.The probability density function has what value in the interval between 20 and 28?

The standard deviation of a standard normal distribution

For a standard normal distribution,the probability of obtaining a z value of less than 1.6 is

Approximate the following binomial probabilities by the use of normal approximation. a.P(x < 12,n = 50,p = 0.3) b.P(12 < x < 18,n = 50,p = 0.3)

A continuous probability distribution that is useful in describing the time,or space,between occurrences of an event is a(n)

Z is a standard normal random variable.The P(Z > 2.11)equals

For a continuous random variable x,the probability density function f(x)represents

In a standard normal distribution,the probability that Z is greater than zero is

Exhibit 6-5 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-5.The probability that she will finish her trip in 80 minutes or less is

Z is a standard normal random variable.The P (1.41 < Z < 2.85)equals

For a standard normal distribution,the probability of obtaining a z value between -2.4 to -2.0 is

X is a normally distributed random variable with a mean of 5 and a variance of 4.The probability that X is greater than 10.52 is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Index Numbers

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Statistical Methods for Quality Control

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Sample Survey

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Exam 6: Continuous Probability Distributions

Consider a binomial probability experiment with n = 3 and p = 0.1.Then,the probability of x = 0 is

Exhibit 6-3 Consider the continuous random variable X,which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-3.The probability density function has what value in the interval between 20 and 28?

The standard deviation of a standard normal distribution

For a standard normal distribution,the probability of obtaining a z value of less than 1.6 is

Approximate the following binomial probabilities by the use of normal approximation. a.P(x < 12,n = 50,p = 0.3) b.P(12 < x < 18,n = 50,p = 0.3)

A continuous probability distribution that is useful in describing the time,or space,between occurrences of an event is a(n)

Z is a standard normal random variable.The P(Z > 2.11)equals

For a continuous random variable x,the probability density function f(x)represents

In a standard normal distribution,the probability that Z is greater than zero is

Exhibit 6-5 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-5.The probability that she will finish her trip in 80 minutes or less is

Z is a standard normal random variable.The P (1.41 < Z < 2.85)equals

For a standard normal distribution,the probability of obtaining a z value between -2.4 to -2.0 is

X is a normally distributed random variable with a mean of 5 and a variance of 4.The probability that X is greater than 10.52 is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters