Question 1

Consider a random experiment of rolling 2 dice. The sample space for rolling two dice is shown. Let S be the set of all ordered pairs listed in the figure. What is probability of rolling a sum larger than 10?

Accepted Answer

The answer of Consider a random experiment of rolling 2...

Question 2

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. What is the probability that the first ball is red and the second ball is purple?

Accepted Answer

The answer of A bucket contains 3 red balls, 4...

Question 3

In a binomial​ experiment, what does it mean to say that each trial is independent of the other​ trials?

Accepted Answer

The answer of In a binomial​ experiment, what does it...

Question 4

Given that A and B are independent with P(A ∪ B) = 0.8 and P(B^c) = 0.3, find P(A).

Accepted Answer

The answer of Given that A and B are independent...

Question 5

What is the mean of x, given the exponential probability function $$f ( x ) = \frac { 1 } { 20 } e ^ { \frac { x } { 20 } } \text { for } x \geq 0 \text { ? }$$

Accepted Answer

A) 0.05 
B) 20 
C) 100 
D) 2,000

Question 6

The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in miles per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. What value represents the 50th percentile of this distribution? ​​

Accepted Answer

A) 75 
B) 85 
C) 95 
D) 105

Question 7

Two events are independent if

Accepted Answer

A) the two events occur at the same time. 
B) the probability of one or both events is greater than 1. 
C) the probability of each event is not affected by the other. 
D) none of these.

Question 8

An initial estimate of the probabilities of events is a ______________ probability.

Accepted Answer

A) ​posterior 
B) ​conditional 
C) empirical 
D) ​prior

Question 9

The cross tabulation shown below shows employees of a communications company classified by age and field of expertise. What is the probability that a randomly selected engineer is under the age of 35?
​ $$\begin{array} { | l | c | c | c | c | } 
\hline & \text { Under } \mathbf { 3 5 } & \mathbf { 3 5 } - \mathbf { 4 4 } & \mathbf { 4 5 } + & \text { Total } \
\hline \text { Engineering } & 8,399 & 8,663 & 7,072 & \mathbf { 2 4 , 1 3 4 } \
\hline \text { Business } & 14,515 & 14,988 & 26,683 & \mathbf { 5 6 , 1 8 6 } \
\hline \text { Education } & 6,738 & 5,657 & 8,669 & \mathbf { 2 1 , 0 6 4 } \
\hline \text { Liberal Arts } & 11,415 & 11,484 & 12,111 & \mathbf { 3 5 , 0 1 0 } \
\hline  { \text { Total } } & \mathbf { 4 1 , 0 6 7 } & \mathbf { 4 0 , 7 9 2 } & \mathbf { 5 4 , 5 3 5 } & \mathbf { 1 3 6 , 3 9 4 } \
\hline
\end{array}$$ ​

Accepted Answer

The answer of The cross tabulation shown below shows employees...

Question 10

The random variable X is normally distributed with mean of 80 and standard deviation of 10. What is the probability that a value of X chosen at random will be between 70 and 90?
​

Accepted Answer

The answer of The random variable X is normally distributed...

Question 11

A nickel and a dime are tossed. We are interested only in the event that includes at least one head appears on a single toss of both coins. What are the possible outcomes?

Accepted Answer

The answer of A nickel and a dime are tossed....

Question 12

Probability is​ the

Accepted Answer

A) number of successes divided by the number of failures. 
B) numerical measure likelihood that an outcome occurs. 
C) chance that an event will not happen. 
D) number of successes divided by the standard deviation of the distribution.

Question 13

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is a

Accepted Answer

A) discrete random variable. 
B) continuous random variable. 
C) complex random variable. 
D) categorical random variable.

Question 14

The _______________ probability distribution can be used to estimate the number of vehicles that go through an intersection during the lunch hour. ​​

Accepted Answer

A) binomial 
B) normal 
C) triangular 
D) Poisson

Question 15

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. Are the events of pulling first ball is red then a purple one independent or dependent?

Accepted Answer

The answer of A bucket contains 3 red balls, 4...

Question 16

Fast food restaurants pride themselves in being able to fill orders quickly. A study was done at a local fast food restaurant to determine how long it took customers to receive their order at the drive thru. It was discovered that The time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes. What is the probability that it takes less than one minute to fill an order?

Accepted Answer

A) 0.1813 
B) 0.4866 
C) 0.6321 
D) 0.7769

Question 17

Consider a random experiment of rolling 2 dice. The sample space for rolling two dice is shown. Let S be the set of all ordered pairs listed in the figure. What are the possible outcomes for the event of rolling a 7?

Accepted Answer

The answer of Consider a random experiment of rolling 2...

Question 18

If a​ z-score is​ zero, then the corresponding x-value must be equal to the ​​

Accepted Answer

A) mean. 
B) median. 
C) mode. 
D) standard deviation.

Question 19

The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.

Accepted Answer

A) 4 
B) 5 
C) 6 
D) 7

Question 20

Which statement is true about mutually exclusive events?

Accepted Answer

A) If events A and B cannot occur at the same time, they are called mutually exclusive. 
B) If either event A or event B must occur, they are called mutually exclusive. 
C) P(
A)  + P(
B)  = 1 for any events A and B that are mutually exclusive. 
D) None of these.

Exam 5: Probability: an Introduction to Modeling Uncertainty

Consider a random experiment of rolling 2 dice. The sample space for rolling two dice is shown. Let S be the set of all ordered pairs listed in the figure. What is probability of rolling a sum larger than 10?

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. What is the probability that the first ball is red and the second ball is purple?

In a binomial experiment, what does it mean to say that each trial is independent of the other trials?

Given that A and B are independent with P(A ∪ B) = 0.8 and P(B^c) = 0.3, find P(A).

What is the mean of x, given the exponential probability function $f ( x ) = \frac { 1 } { 20 } e ^ { \frac { x } { 20 } } \text { for } x \geq 0 \text { ? }$

Two events are independent if

An initial estimate of the probabilities of events is a ______________ probability.

The random variable X is normally distributed with mean of 80 and standard deviation of 10. What is the probability that a value of X chosen at random will be between 70 and 90?

A nickel and a dime are tossed. We are interested only in the event that includes at least one head appears on a single toss of both coins. What are the possible outcomes?

Probability is the

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is a

The _______________ probability distribution can be used to estimate the number of vehicles that go through an intersection during the lunch hour.

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. Are the events of pulling first ball is red then a purple one independent or dependent?

Consider a random experiment of rolling 2 dice. The sample space for rolling two dice is shown. Let S be the set of all ordered pairs listed in the figure. What are the possible outcomes for the event of rolling a 7?

If a z-score is zero, then the corresponding x-value must be equal to the

The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X) , the expected value of the distribution.

Which statement is true about mutually exclusive events?

Exam 5: Probability: an Introduction to Modeling Uncertainty

Consider a random experiment of rolling 2 dice. The sample space for rolling two dice is shown. Let S be the set of all ordered pairs listed in the figure. What is probability of rolling a sum larger than 10?

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. What is the probability that the first ball is red and the second ball is purple?

In a binomial​ experiment, what does it mean to say that each trial is independent of the other​ trials?

Given that A and B are independent with P(A ∪ B) = 0.8 and P(Bc) = 0.3, find P(A).

What is the mean of x, given the exponential probability function f(x) =120ex20 for x≥0 ? f ( x ) = \frac { 1 } { 20 } e ^ { \frac { x } { 20 } } \text { for } x \geq 0 \text { ? }f(x) =201​e20x​ for x≥0 ?

Two events are independent if

An initial estimate of the probabilities of events is a ______________ probability.

The random variable X is normally distributed with mean of 80 and standard deviation of 10. What is the probability that a value of X chosen at random will be between 70 and 90? ​

A nickel and a dime are tossed. We are interested only in the event that includes at least one head appears on a single toss of both coins. What are the possible outcomes?

Probability is​ the

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is a

The _______________ probability distribution can be used to estimate the number of vehicles that go through an intersection during the lunch hour. ​​

A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls. One ball is taken from the bucket and is not replaced. Another ball is taken from the bucket. Are the events of pulling first ball is red then a purple one independent or dependent?

Consider a random experiment of rolling 2 dice. The sample space for rolling two dice is shown. Let S be the set of all ordered pairs listed in the figure. What are the possible outcomes for the event of rolling a 7?

If a​ z-score is​ zero, then the corresponding x-value must be equal to the ​​

The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X) , the expected value of the distribution.

Which statement is true about mutually exclusive events?

In a binomial experiment, what does it mean to say that each trial is independent of the other trials?

Given that A and B are independent with P(A ∪ B) = 0.8 and P(B^c) = 0.3, find P(A).

What is the mean of x, given the exponential probability function $f ( x ) = \frac { 1 } { 20 } e ^ { \frac { x } { 20 } } \text { for } x \geq 0 \text { ? }$

The random variable X is normally distributed with mean of 80 and standard deviation of 10. What is the probability that a value of X chosen at random will be between 70 and 90?

Probability is the

The _______________ probability distribution can be used to estimate the number of vehicles that go through an intersection during the lunch hour.

If a z-score is zero, then the corresponding x-value must be equal to the