Buy Probability Distribution Problem Set

Figure below gives the boxplots com paring the base yearly salaries of employees

in marketing and employees in research for a large company. Identify the five number summaries.

for each profession. Interpret them like we did in the class.

Marketing Research

Min

Max

First Quartile

Second Quartile

Third Quartile

Marketing Interpretations Research Interpretations

Interpretation of Minimum Interpretation of Minimum

Hint: The minimum salary is xx. Hint: The minimum salary is xx.

Interpretation of Maximum Interpretation of Maximum

Hint: The maximum salary is xx. Hint: The maximum salary is xx.

Interpretation of First Quartile Interpretation of First Quartile

Hint: 25% of salaries are less than xx. 75% are greater than xx. Hint: 25% of salaries are less than xx. 75% are greater than xx.

Interpretation of Second Quartile Interpretation of Second Quartile

Hint: 50% of salaries are less than xx. 50% are greater than xx. Hint: 50% of salaries are less than xx. 50% are greater than xx.

Interpretation of Third Quartile Interpretation of Third Quartile

Hint: 75% of salaries are less than xx. 25% are greater than xx. Hint: 75% of salaries are less than xx. 25% are greater than xx.

Problem 2

An insurance company determines that in every 100 claims, 4 are fraudulent.

What is the probability that the next claim the company processes will be

fraudulent?

Please state the probability as a decimal value.

Problem 3

A review of emergency room records at rural Millard Fellmore Memorial Hospital

was performed to determine the probability distribution of the number of patients

entering the emergency room during a 1-hour period. The following table lists this

probability distribution.

Patients per hour Probability

0 0.2725

1 0.3543

2 0.2303

3 0.0998

4 0.0324

5 0.0084

6 0.0023

Buy Probability Distribution Problem Set

Determine the probability that the number of patients entering the emergency room

during a randomly selected 1-hour period is

a) 2 or more

b) exactly 5

c) fewer than 3

d) at most 1

Problem 4

Find the missing probability in the following probability distribution.

x P(x)

0 0.07

1 0.20

2 0.38

3

4 0.13

Problem 5

Determine whether the distribution given below are valid probability distributions or not.

x P(x)

0 0.30

1 0.25 (Choose one)

2 0.25

3 0.15

4 0.05

Problem 6

Determine whether the random variable x is discrete or continuous

a. Let x represent the number of pumps in use at a gas station (Choose one)

b. Let x represent the weight of a truck at a weigh station (Choose one)

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