Question 1

i. For a binomial distribution, each trial has a known number of successes. For example, a four
Question multiple-choice test can only have zero, one, two, three and four successes (number
Correct).
ii. To construct a binomial probability distribution, the number of trials and the probability of success
Must be known.
iii. A binomial distribution has a characteristic that the trials are independent, which means that the
Outcome of one trial does not affect the outcome of any other trial.

Accepted Answer

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

Question 2

What must you know to develop a binomial probability distribution?

Accepted Answer

Probability of success and the number of trials

Question 3

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic,
High-speed machine are defective. What is the probability that out of six keyboards selected at
Random, exactly zero keyboards will be defective?

Accepted Answer

0.735

Question 4

On a very hot summer day, 5 percent of the production employees at Midland States Steel are
Absent from work. The production employees are to be selected at random for a special in-depth
Study on absenteeism. What is the probability of selecting 10 production employees at random on a
Hot summer day and ﬁnding that none of them are absent?

Accepted Answer

0.599

Question 5

Which of the following is NOT a characteristic of a binomial probability distribution?

Accepted Answer

Each outcome results from two trials.

Question 6

i. A binomial distribution has a characteristic that an outcome of an experiment is classiﬁed into one
Of two mutually exclusive categories (a success or a failure).
ii. A binomial distribution has the characteristic that the probability of a success stays the same for
Each trial, but the probability of a failure varies from trial to trial.
iii. The mean of a binomial probability distribution can be determined by multiplying the probability
Of a failure by the number of trials.

Accepted Answer

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

Question 7

Belk Department Store is having a special sale this weekend. Customers charging purchases of
More than $50 to the Belk credit card will be given a special Belk lottery card. The customer will
Scratch the card, which will indicate the amount to be taken off the total amount of purchase. Listed
Below is the amount of the prize and the percent of the time that amount will be deducted from the
Total amount of the purchase 
Determine the mean and standard deviation of the prize amount.

Accepted Answer

Mean is $21, standard deviation is $16.09

Question 8

i. A binomial distribution is a discrete probability distribution.
ii. To construct a binomial distribution, it is necessary to know the total number of trials and the
Probability of success on each trial.
iii. If the probability of success remains the same, but n increases, the shape of the binomial
Distribution becomes more symmetrical.

Accepted Answer

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

Question 9

i. A binomial distribution is a continuous probability distribution.
ii. To construct a binomial distribution, it is necessary to know the total number of trials and the
Probability of success on each trial.
iii. If the probability of success remains the same, but n increases, the shape of the binomial
Distribution becomes more symmetrical.

Accepted Answer

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

Question 10

Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing
Each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each
Of the 20 plays is 50-50. If you bought 20 tickets, what is the chance of winning 15 or more prizes?

Accepted Answer

0.021

Question 11

Which one of the following is NOT a condition of the binomial distribution?

Accepted Answer

At least 10 observations

Question 12

A true-false test consists of six questions. If you guess the answer to each question, what is the
Probability of getting all six questions correct?

Accepted Answer

0.016

Question 13

Let X represent the number of children in a Canadian household. The probability distribution of X is
As follows: 
Determine the expected number of children in a randomly selected Canadian household.

Accepted Answer

2.25

Question 14

The information below is the number of daily emergency assists made to skiers by the volunteer ski
Team at Alpine Ski Lodge for the last 50 days.
To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which
There were 3 emergency assists. 
Convert this information to a probability distribution, and determine the mean number of assists per
day.

Accepted Answer

1.7

Question 15

Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a
Random sample of 15 cash register receipts is selected, what is the probability that 10 or more will
Show that the above three food items were ordered?

Accepted Answer

0.403

Question 16

Chances are 50-50 that a newborn baby will be a girl. For families with ﬁve children, what is the
Probability that all the children are girls?

Accepted Answer

0.031

Question 17

The information below is the number of daily emergency assists made to skiers by the volunteer ski
Team at Alpine Ski Lodge for the last 50 days.
To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which
There were 3 emergency assists. 
Convert this information to a probability distribution, and determine the mean number of assists per
day.

Accepted Answer

1.76

Question 18

Which is true for a binomial distribution?

Accepted Answer

Probability of success remains the same from trial to trial.

Question 19

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, what is the probability that exactly 8 will go
To college?

Accepted Answer

0.114

Question 20

Carlson Jewellers permits the return of their diamond wedding rings, provided the return occurs
Within two weeks of the purchase date. Their records reveal that 10 percent of the diamond
Wedding rings are returned. Five different customers buy ﬁve rings. What is the probability that
None will be returned?

Accepted Answer

0.590

Quiz 5: A Sulvey of Probability Concepts

What must you know to develop a binomial probability distribution?

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, High-speed machine are defective. What is the probability that out of six keyboards selected at Random, exactly zero keyboards will be defective?

Which of the following is NOT a characteristic of a binomial probability distribution?

Which one of the following is NOT a condition of the binomial distribution?

A true-false test consists of six questions. If you guess the answer to each question, what is the Probability of getting all six questions correct?

Let X represent the number of children in a Canadian household. The probability distribution of X is As follows: Determine the expected number of children in a randomly selected Canadian household.

Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a Random sample of 15 cash register receipts is selected, what is the probability that 10 or more will Show that the above three food items were ordered?

Chances are 50-50 that a newborn baby will be a girl. For families with ﬁve children, what is the Probability that all the children are girls?

Which is true for a binomial distribution?

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, what is the probability that exactly 8 will go To college?