Questions from Applied Statistics

Q: Let S be the event that a randomly chosen female aged 18

Let S be the event that a randomly chosen female aged 18–24 is a smoker. Let C be the event that a randomly chosen female aged 18–24 is a Caucasian. Given P(S) = .246, P(C) = .830, and P(S ∩ C) = .232...

Q: Prof. Green gave three exams last semester. Scores were normally

Prof. Green gave three exams last semester. Scores were normally distributed on each exam. Below are scores for 10 randomly chosen students on each exam. (a) Find the 95 percent confidence interval fo...

Q: Let C be the event that a randomly chosen adult has some

Let C be the event that a randomly chosen adult has some college education. Let M be the event that a randomly chosen adult is married. Given P(C) = .4, P(M) = .5 and P(C ∩ M) = .24, find each probabi...

Q: Which pairs of events are independent? a. P

Which pairs of events are independent? a. P(A) = .60, P(B) = .40, P(A ∩ B) = .24. b. P(A) = .90, P(B) = .20, P(A ∩ B) = .18. c. P(A) = .50, P(B) = .70, P(A ∩ B) = .25.

Q: Given P(J) = .2, P(K

Given P(J) = .2, P(K) = .4 and P(J ∩ K) = .15. (a) Find P(J | K). (b) In this problem, are J and K independent?

Q: Which pairs of events are independent? a. P

Which pairs of events are independent? a. P(J ) = .50, P(K) = .40, P(J ∩ K ) = .3. b. P(J ) = .60, P(K) = .20, P(J ∩ K ) = .12. c. P(J ) = .15, P(K) = .5, P(J ∩ K ) = .1.

Q: Bob sets two alarm clocks (battery-powered) to be

Bob sets two alarm clocks (battery-powered) to be sure he arises for his Monday 8:00 a.m. accounting exam. There is a 75 percent chance that either clock will wake Bob. (a) What is the probability tha...

Q: Over 1,000 people try to climb Mt. Everest every

Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is .04. The probability that a cli...

Q: The contingency table below shows the results of a survey of online

The contingency table below shows the results of a survey of online video viewing by age. Find the following probabilities or percentages: a. Probability that a viewer is aged 18–3...

Q: A survey of 158 introductory statistics students showed the following contingency table

A survey of 158 introductory statistics students showed the following contingency table. Find each event probability. a. P(V) b. P(A) c. P(A > V) d. P(A ∪ V) e. P(A | V) f....