Question 1

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot
Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the
Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at
Random.
What is the probability that between two and ﬁve people inclusive want hot peppers?

Accepted Answer

0.521

Question 2

(i. A random variable with a Poisson distribution has one of two mutually exclusive values.
(ii. For the hypergeometric distribution there are only 2 possible outcomes.
(iii) In the hypergeometric distribution the probability of a success is the same on each trail.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 3

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot
Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the
Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at
Random. What is the probability that exactly nine customers will ask for hot peppers?

Accepted Answer

0.039

Question 4

(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes.
(ii. The Poisson distribution or, the law of improbable events, has negatively skewed shape.
(iii) In a Poisson distribution each trail is independent.

Accepted Answer

(i) and (iii) are correct statements but (ii).

Question 5

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot
Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the
Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at
Random. What is the probability that sixteen or more customers will want hot peppers?

Accepted Answer

0.0000

Question 6

(i. If π = 1/3 and n = 900, the mean of this binomial distribution is 300.
(ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200.
(iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 7

When surveyed for brand recognition, 98% of consumers recognize Coke. A new survey of 800
Randomly selected consumers is to be conducted. For such a group of 800, calculate the mean and
Standard deviation for the number who recognize the Coke brand name. Considering as unusual a
Result that differs from the mean by more than two standard deviations, it (___ (is/is not) ___)
Unusual to get 775 consumers who recognize the Coke brand name.

Accepted Answer

784, 3.96, is

Question 8

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of
Four every ﬁve minutes, what is the probability that more than four customers arrive in a ﬁve minute
Period?

Accepted Answer

0.3711

Question 9

(i. A random variable with a Poisson distribution has one of two mutually exclusive values.
(ii. For the hypergeometric distribution there are only 2 possible outcomes.
(iii) In the hypergeometric distribution the probability of a success is not the same on each trail.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 10

(i. A random variable with a Poisson distribution has one of three mutually exclusive values.
(ii. For the hypergeometric distribution there are only 2 possible outcomes.
(iii) In the hypergeometric distribution the probability of a success is not the same on each trail.

Accepted Answer

(ii) and (iii) are correct statements but (i).

Question 11

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of
Two every ﬁve minutes, what is the probability that no customers arrive in a ﬁve-minute period?

Accepted Answer

0.1353

Question 12

(i. To construct a binomial distribution we need to know the total number of trials and the probability
Of a success.
(ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200.
(iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 13

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot
Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the
Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at
Random.
This situation is an example of what type of distribution?

Accepted Answer

Binomial distribution

Question 14

(i. To construct a binomial distribution we need to know the total number of trials and the probability
Of a success.
(ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200.
(iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is 20.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 15

Let X represent the number of children in a Canadian household. The probability distribution of X is
As follows: 
The probability that a randomly selected Canadian household will have more than 3 children is 0.16.
The expected number of children in a randomly selected Canadian household is 2.25.

Accepted Answer

0.16, 2.25

Question 16

A marketing solutions poll of mutual funds and fund owners asked fund owners what action they
Took after the September 11th 2001 market drop. Sixteen percent of respondents said they bought
More funds. If 600 fund owners were polled, calculate the mean and standard deviation of the
Number of respondents who bought more funds. Considering as unusual a result that differs from
The mean by more than two standard deviations, it (___ (is/is not) ___) unusual that in one of these
Polls of 600 fund owners, 100 respondents bought more mutual funds.

Accepted Answer

The mean is 96 (0.16 * 600) and the standard deviation is 9 (sqrt(0.16 * 0.84 * 600)). 100 is within two standard deviations of the mean (96 +/- 18).

Question 17

In a Poisson distribution each trail is independent.
(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes.
(ii. The Poisson distribution or, the law of improbable events, has negatively skewed shape.
(iii) In a Poisson distribution each trail is dependent on the others.

Accepted Answer

(i) is a correct statement but (ii) or (iii).

Question 18

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates
Go to college. From 20 graduates selected at random, approximately how many will go to college?

Accepted Answer

6

Question 19

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates
Go to college. From 10 graduates selected at random, calculate the probability that none will go to
College.

Accepted Answer

0.028%

Question 20

(i. If π = 1/3 and n = 900, the mean of this binomial distribution is 300.
(ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200.
(iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is 16.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Quiz 5: A Sulvey of Probability Concepts

(i. A random variable with a Poisson distribution has one of two mutually exclusive values. (ii. For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is the same on each trail.

(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes. (ii. The Poisson distribution or, the law of improbable events, has negatively skewed shape. (iii) In a Poisson distribution each trail is independent.

(i. If π = 1/3 and n = 900, the mean of this binomial distribution is 300. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of Four every ﬁve minutes, what is the probability that more than four customers arrive in a ﬁve minute Period?

(i. A random variable with a Poisson distribution has one of two mutually exclusive values. (ii. For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is not the same on each trail.

(i. A random variable with a Poisson distribution has one of three mutually exclusive values. (ii. For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is not the same on each trail.

The arrival of customers at a service desk follows a Poisson distribution. If they arrive at the rate of Two every ﬁve minutes, what is the probability that no customers arrive in a ﬁve-minute period?

(i. To construct a binomial distribution we need to know the total number of trials and the probability Of a success. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

(i. To construct a binomial distribution we need to know the total number of trials and the probability Of a success. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is 20.

Let X represent the number of children in a Canadian household. The probability distribution of X is As follows: The probability that a randomly selected Canadian household will have more than 3 children is 0.16. The expected number of children in a randomly selected Canadian household is 2.25.

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates Go to college. From 20 graduates selected at random, approximately how many will go to college?

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates Go to college. From 10 graduates selected at random, calculate the probability that none will go to College.

(i. If π = 1/3 and n = 900, the mean of this binomial distribution is 300. (ii. If n = 900 and π = 1/3, the variance of this binomial distribution is 200. (iii) If π = 1/5 and n = 100, the standard deviation of this binomial distribution is 16.