# Question

A small company that provides customer assistance with computer software has the following group of employees.

Using the information in this table, calculate the following probabilities.

a. One employee will be selected at random to plan the company picnic. What is the probability that he or she will be:

• Someone with low experience

• Someone with high experience

• Someone whose specialty is spreadsheet software

• Someone whose specialty is presentation software

b. Suppose the first two client requests are for someone who specializes in spreadsheet software. How many employees could meet this request? What is the probability that the first employee selected has high experience? What is the probability that both employees have high experience? What is the probability that at least one of the employees has high experience?

c. Create a joint probability table for specialty and experience for the employees. What is the probability that an employee has high experience if his/her specialty is word processing? What is the probability that an employee has low experience if his/her specialty is spread sheet software?

d. Create a joint probability table for gender and specialty for the employees. What is the probability that an employee specializes in word processing software if she is female? What is the probability that an employee is male if he specializes in spread sheet software?

e. Create a tree diagram that illustrates the possibilities for randomly selecting an employee. In the first stage, show the probabilities of selecting a male or female employee. In the second stage, show the probabilities for each type of software specialty. In the third stage, show the probabilities for high or low experience. Leave the probabilities in fractional form. Calculate the end-stage probabilities.

f. Create a tree diagram that illustrates the possibilities for randomly selecting an employee. In the first stage, show the probabilities of selecting an employee with high or low experience. In the second stage, show the probabilities of selecting a male or female employee. In the third stage, show the probabilities for each type of software specialty.

Leave the probabilities in fractional form. Calculate the end-stage probabilities. Do they match the corresponding end-stage probabilities you calculated in part e above?

Using the information in this table, calculate the following probabilities.

a. One employee will be selected at random to plan the company picnic. What is the probability that he or she will be:

• Someone with low experience

• Someone with high experience

• Someone whose specialty is spreadsheet software

• Someone whose specialty is presentation software

b. Suppose the first two client requests are for someone who specializes in spreadsheet software. How many employees could meet this request? What is the probability that the first employee selected has high experience? What is the probability that both employees have high experience? What is the probability that at least one of the employees has high experience?

c. Create a joint probability table for specialty and experience for the employees. What is the probability that an employee has high experience if his/her specialty is word processing? What is the probability that an employee has low experience if his/her specialty is spread sheet software?

d. Create a joint probability table for gender and specialty for the employees. What is the probability that an employee specializes in word processing software if she is female? What is the probability that an employee is male if he specializes in spread sheet software?

e. Create a tree diagram that illustrates the possibilities for randomly selecting an employee. In the first stage, show the probabilities of selecting a male or female employee. In the second stage, show the probabilities for each type of software specialty. In the third stage, show the probabilities for high or low experience. Leave the probabilities in fractional form. Calculate the end-stage probabilities.

f. Create a tree diagram that illustrates the possibilities for randomly selecting an employee. In the first stage, show the probabilities of selecting an employee with high or low experience. In the second stage, show the probabilities of selecting a male or female employee. In the third stage, show the probabilities for each type of software specialty.

Leave the probabilities in fractional form. Calculate the end-stage probabilities. Do they match the corresponding end-stage probabilities you calculated in part e above?

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