Question 1

Estimate the variance for the following probability distribution to two decimal places. ​   ​

Accepted Answer

A)  1.89 
B)  1.99 
C)  1.41 
D)  3.95 
E)  1.00 
A)  1.89 
B)  1.99 
C)  1.41 
D)  3.95 
E)  1.00

Question 2

Expand   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Suppose a fair coin is tossed 12 times. What is the probability that exactly 10 heads will occur? ​

Accepted Answer

A)  Pr(10 Heads) =   
B)  Pr(10 Heads) =   
C)  Pr(10 Heads) =   
D)  Pr(10 Heads) =   
E)  Pr(10 Heads) =   
A)  Pr(10 Heads) =   
B)  Pr(10 Heads) =   
C)  Pr(10 Heads) =   
D)  Pr(10 Heads) =   
E)  Pr(10 Heads) =

Question 4

-Suppose according to one of Mendel's hybridization experiments, when peas with green pods were crossed with peas with yellow pods, 45% of the offspring pods should be yellow. What is the probability that at least 267 of 570 offspring peas would have yellow pods? Round your answer to four decimal places. ​

Accepted Answer

A)  0.2005 
B)  0.4812 
C)  0.3436 
D)  0.7995 
E)  0.3840 
A)  0.2005 
B)  0.4812 
C)  0.3436 
D)  0.7995 
E)  0.3840

Question 5

The probability that a certain couple will have a blue-eyed child is   , and they have 5 children. What is the probability that none of their children have blue eyes? Round your answer to six decimal places. ​

Accepted Answer

A)  Pr(0 Blue) = 0 
B)  Pr(0 Blue) = 0.001978 
C)  Pr(0 Blue) = 0.000260 
D)  Pr(0 Blue) = 0.000648 
E)  Pr(0 Blue) = 1 
A)  Pr(0 Blue) = 0 
B)  Pr(0 Blue) = 0.001978 
C)  Pr(0 Blue) = 0.000260 
D)  Pr(0 Blue) = 0.000648 
E)  Pr(0 Blue) = 1

Question 6

A multiple-choice test has 45 questions and 5 choices for each question. If a student is totally unprepared and guesses on each question, how many questions can she expect to answer correctly, and what is the standard deviation of the number of correct answers? Round any estimated quantities to two decimal places. ​

Accepted Answer

A)    ​ 
B)    ​ 
C)    ​ 
D)    ​ 
E)    ​ 
A)    ​ 
B)    ​ 
C)    ​ 
D)    ​ 
E)    ​

Question 7

Suppose a fair die is rolled 13 times. What is the probability that 1 "aces" (1's) will occur? Round your answer to six digital places. ​

Accepted Answer

A)  Pr(1 Aces) = 0.033399 
B)  Pr(1 Aces) = 0.001587 
C)  Pr(1 Aces) = 0.000016 
D)  Pr(1 Aces) = 0.000000 
E)  Pr(1 Aces) = 0.243006 
A)  Pr(1 Aces) = 0.033399 
B)  Pr(1 Aces) = 0.001587 
C)  Pr(1 Aces) = 0.000016 
D)  Pr(1 Aces) = 0.000000 
E)  Pr(1 Aces) = 0.243006

Question 8

Suppose that 30% of the patients who have a certain disease die from it. If 13 patients have the disease, what is the probability that no more than 4 patients will die from it? Round your answer to six decimal places. ​

Accepted Answer

A)  Pr(Deaths   4) = 0.308168 
B)  Pr(Deaths   4) = 0.192789 
C)  Pr(Deaths   4) = 0.356936 
D)  Pr(Deaths   4) = 0.898811 
E)  Pr(Deaths   4) = 0.451835 
A)  Pr(Deaths   4) = 0.308168 
B)  Pr(Deaths   4) = 0.192789 
C)  Pr(Deaths   4) = 0.356936 
D)  Pr(Deaths   4) = 0.898811 
E)  Pr(Deaths   4) = 0.451835

Question 9

In a binomial experiment find the probability of at least 43 successes in 110 trials if   . Round your answer to four decimal places. ​

Accepted Answer

A)  0.9761 
B)  0.4511 
C)  0.0239 
D)  0.4560 
E)  0.1853 
A)  0.9761 
B)  0.4511 
C)  0.0239 
D)  0.4560 
E)  0.1853

Question 10

Suppose a fair die is rolled 10 times. What is the probability that a 6 will occur 3 times in the 10 rolls? Round your answer to six decimal places. ​

Accepted Answer

A)  Pr(3 6-es) = 0.310091 
B)  Pr(3 6-es) = 0.155045 
C)  Pr(3 6-es) = 0.387613 
D)  Pr(3 6-es) = 0.232568 
E)  Pr(3 6-es) = 0.193807 
A)  Pr(3 6-es) = 0.310091 
B)  Pr(3 6-es) = 0.155045 
C)  Pr(3 6-es) = 0.387613 
D)  Pr(3 6-es) = 0.232568 
E)  Pr(3 6-es) = 0.193807

Question 11

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval   . Round your answer to four decimal places. ​

Accepted Answer

A)  0.0446 
B)  0.0223 
C)  0.2446 
D)  0.4446 
E)  0.9554 
A)  0.0446 
B)  0.0223 
C)  0.2446 
D)  0.4446 
E)  0.9554

Question 12

Suppose a report by U.S. News and World Report states that 25% of all employee credentials examined were falsified. If this is true, what is the probability that at least 79 of 240 employees hired during a year had falsified their credentials? Round your answer to four decimal places. ​

Accepted Answer

A)  ​0.2594 
B)  ​0.9971 
C)  ​0.0029 
D)  ​0.0366 
E)  ​0.0042 
A)  ​0.2594 
B)  ​0.9971 
C)  ​0.0029 
D)  ​0.0366 
E)  ​0.0042

Question 13

A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 22 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage less than 21 mpg. Round your answer to four decimal places. ​

Accepted Answer

A)  0.4013 
B)  0.9013 
C)  0.0987 
D)  0.5987 
E)  0.1974 
A)  0.4013 
B)  0.9013 
C)  0.0987 
D)  0.5987 
E)  0.1974

Question 14

In a binomial experiment, find the probability 51 of 71 successes in trials if   . Round your answer to four decimal places. ​

Accepted Answer

A)  ​0.9880 
B)  ​0.0120 
C)  ​0.9820 
D)  ​0.3328 
E)  ​0.9910 
A)  ​0.9880 
B)  ​0.0120 
C)  ​0.9820 
D)  ​0.3328 
E)  ​0.9910

Estimate the variance for the following probability distribution to two decimal places.

Expand

Suppose a fair coin is tossed 12 times. What is the probability that exactly 10 heads will occur?

The probability that a certain couple will have a blue-eyed child is , and they have 5 children. What is the probability that none of their children have blue eyes? Round your answer to six decimal places.

Suppose a fair die is rolled 13 times. What is the probability that 1 "aces" (1's) will occur? Round your answer to six digital places.

Suppose that 30% of the patients who have a certain disease die from it. If 13 patients have the disease, what is the probability that no more than 4 patients will die from it? Round your answer to six decimal places.

In a binomial experiment find the probability of at least 43 successes in 110 trials if . Round your answer to four decimal places.

Suppose a fair die is rolled 10 times. What is the probability that a 6 will occur 3 times in the 10 rolls? Round your answer to six decimal places.

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval . Round your answer to four decimal places.

Suppose a report by U.S. News and World Report states that 25% of all employee credentials examined were falsified. If this is true, what is the probability that at least 79 of 240 employees hired during a year had falsified their credentials? Round your answer to four decimal places.

A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 22 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage less than 21 mpg. Round your answer to four decimal places.

In a binomial experiment, find the probability 51 of 71 successes in trials if . Round your answer to four decimal places.

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

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Exam 8: Further Topics in Probability and Data Description

Estimate the variance for the following probability distribution to two decimal places. ​ ​

Expand ​

Suppose a fair coin is tossed 12 times. What is the probability that exactly 10 heads will occur? ​

The probability that a certain couple will have a blue-eyed child is , and they have 5 children. What is the probability that none of their children have blue eyes? Round your answer to six decimal places. ​

Suppose a fair die is rolled 13 times. What is the probability that 1 "aces" (1's) will occur? Round your answer to six digital places. ​

Suppose that 30% of the patients who have a certain disease die from it. If 13 patients have the disease, what is the probability that no more than 4 patients will die from it? Round your answer to six decimal places. ​

In a binomial experiment find the probability of at least 43 successes in 110 trials if . Round your answer to four decimal places. ​

Suppose a fair die is rolled 10 times. What is the probability that a 6 will occur 3 times in the 10 rolls? Round your answer to six decimal places. ​

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval . Round your answer to four decimal places. ​

Suppose a report by U.S. News and World Report states that 25% of all employee credentials examined were falsified. If this is true, what is the probability that at least 79 of 240 employees hired during a year had falsified their credentials? Round your answer to four decimal places. ​

A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 22 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage less than 21 mpg. Round your answer to four decimal places. ​

In a binomial experiment, find the probability 51 of 71 successes in trials if . Round your answer to four decimal places. ​

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Estimate the variance for the following probability distribution to two decimal places.

Expand

Suppose a fair coin is tossed 12 times. What is the probability that exactly 10 heads will occur?

The probability that a certain couple will have a blue-eyed child is , and they have 5 children. What is the probability that none of their children have blue eyes? Round your answer to six decimal places.

Suppose a fair die is rolled 13 times. What is the probability that 1 "aces" (1's) will occur? Round your answer to six digital places.

Suppose that 30% of the patients who have a certain disease die from it. If 13 patients have the disease, what is the probability that no more than 4 patients will die from it? Round your answer to six decimal places.

In a binomial experiment find the probability of at least 43 successes in 110 trials if . Round your answer to four decimal places.

Suppose a fair die is rolled 10 times. What is the probability that a 6 will occur 3 times in the 10 rolls? Round your answer to six decimal places.

Use a table of the standard normal distribution to find the probability that a z-score from the standard normal distribution will lie within the interval . Round your answer to four decimal places.

Suppose a report by U.S. News and World Report states that 25% of all employee credentials examined were falsified. If this is true, what is the probability that at least 79 of 240 employees hired during a year had falsified their credentials? Round your answer to four decimal places.

A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 22 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage less than 21 mpg. Round your answer to four decimal places.

In a binomial experiment, find the probability 51 of 71 successes in trials if . Round your answer to four decimal places.