Question

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

1. 1) The probability that an employee at a company eats lunch at the company cafeteria is 1) 0.32. The probability that an employee is female is 0.62. The probability than an
   employee eats lunch at the employee cafeteria and is female is 0.21. What is the
   probability that a randomly chosen employee either eats at the cafeteria or is female?

2. 2) In a recent article it was reported that 27.3% of all college students party during 2) weekdays, and 67% of these students plan on going to graduate school. What is the probability that a randomly-selected student party during weekdays and plans on
   going to graduate school?

3. 3) There are five men and four women working on a project. To handle one particular 3) aspect of the project, a subcommittee needs to be formed. In the interest of balance, it is decided that the subcommittee will consist of two men and two women. How many combinations of this subcommittee are possible?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A student has access to professor evaluations. Overall, he has enjoyed 70% of all classes he has taken. He finds that of the courses he has enjoyed, 13% were taught by professors with poor evaluations. 84% of the courses he has taken were taught by professors with good evaluations.

4) What is the probability that the class was taught by a professor with good evaluations 4) and that the student enjoyed the class?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In a recent survey about US policy in Iraq, 62 % of the respondents said that they support US policy in Iraq. Females comprised 53% of the sample, and of the females, 46% supported US policy in Iraq. A person is selected at random.

5. 5) What is the probability that the person we select is female and supports U.S. policy in 5) Iraq?

6. 6) Are the events "does not support U.S, policy in Iraq" and "female" statistically 6) independent? Why or why not?

7. 7) Suppose we select a supporter of US policy in Iraq, what is the probability that the 7) person we select is female?

8. 8) Suppose we select a person who does not support US policy in Iraq, what is the 8) probability that the person is male?

        

1

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
James' Surfboard Shop makes surfboards by hand. The number of surfboards that James makes during a week depends on the wave conditions. James has estimated the following probabilities for surfboard production for the next week.

Number of Surfboards 5 6 7 8 9 10 Probability 0.13 0.22 0.31 0.17 0.13 0.04

Let A be the event that James produces more than seven surfboards. Let B be the event that James produces exactly six surfboards.

9. 9) What is the probability of event A? 9)

10. 10) What is the probability of the complement of A? 10)

11. 11) What is the probability of the intersection of events A and B ? Why? 11)

12. 12) Are events A and B collectively exhaustive? Why? 12)

13. 13) The probability that a new small business closes before the end of its first year is 42%. 13) In addition, 37% of all new businesses are started by women. The probability that a
    new business is either owned by a woman or goes out of business is 62%. Your sister
    starts a new business. What is the probability her business will still open at the end of

    the first year?

14. 14) In a survey of top executives, it was found that 17% had traveled internationally 14) on business. The probability of one of these executives fluently speaking a foreign
    language was found to be 10%. The probability that one of these executives neither
    spoke a foreign language nor had traveled internationally was 0.81. What is the

    probability that an executive who speaks a foreign language has traveled internationally?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a sample space defined by events A1, A2, B 1, B2. Let P (A1) = 0.40 , P (B 1 ! A1) = 0.60 and P (B 1 ! A2) = 0.70

                                

15) What is P(A2)?
16) What is P(A1 "B1)? 17) What is P(A1 "B2)? 18) What is P(A2 "B1)?

15) 16) 17) 18)

   

Thanks, please show all work!

Answer 1