Liberty BUSI 230 Week 4 Review and Exam Answers Complete Solutions
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Consider the following two events for an individual.
A = owns a cell phone
B = owns a laptop computer
Translate each event into words.
(b) A and B
(c) A or B
(d) A | B
(e) B | A
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Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 22% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities. (Enter your answers to three decimal places.)
(a) P(woman asked for a raise)
(b) P(woman received raise, given she asked for one)
(c) P(woman asked for raise and received raise)
Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table.
Let’s use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)
(b) P(N | W)
P(S | W)
(c) P(N | A)
P(S | A)
(d) P(N and W)
P(M and W)
(e) P(N or M).
Are the events N = no reaction and M = mild reaction mutually exclusive? Explain.
(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.
There is money to send two of seven city council members to a conference in Honolulu. All want to go, so they decide to choose the members to go to the conference by a random process. How many different combinations of two council members can be selected from the seven who want to go to the conference?
To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. Finally, you turn the dial back to the right and stop at a third number. If you used the correct sequence of numbers, the lock opens. If the dial of the lock contains 7 numbers, 0 through 6, determine the number of different combinations possible for the lock. Note: The same number can be reused consecutively.
What are the requirements for a probability distribution
List the criteria for a binomial experiment. (Select all that apply.)
What does the random variable of a binomial experiment measure?