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# Liberty BUSI 230 Week 4 Exercises 5.1-6.3 Answers Complete Solutions

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### Question 1

Which of the following are continuous variables, and which are discrete?

(a) number of traffic fatalities per year in the state of Florida

Answer

(b) distance a golf ball travels after being hit with a driver

Answer

(c) time required to drive from home to college on any given day

Answer

(d) number of ships in Pearl Harbor on any given day

Answer

(e) your weight before breakfast each morning

Answer

## STATUS

### Question 2

Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer.

x

P(x)

x

P(x)

### Question 3

Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer.

x

P(x)

Compute the expected value of the distribution.

Answer

Compute the standard deviation of the distribution. (Round your answer to four decimal places.)

### Question 4

A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.

x

%

(a) Convert the percentages to probabilities and make a histogram of the probability distribution.

(b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.)

Answer

(c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.)

Answer

(d) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Round your answer to two decimal places.)

Answer

(e) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Round your answer to three decimal places.)

Answer

### Question 5

What does the random variable for a binomial experiment of n trials measure?

### Question 6

For a binomial experiment, how many outcomes are possible for each trial? What are the possible outcomes?

### Question 7

Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is p = 0.40. (Round your answers to three decimal places.)

(a) Find P(r = 0).

(b) Find P(r ≥ 1) by using the complement rule.

### Question 8

Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn’t know any of the answers. Assuming that Richard guesses on all eight questions, find the indicated probabilities. (Round your answers to three decimal places.)