Use the following information to answer questions (16)(18). Suppose that a recen
ID: 3053593 • Letter: U
Question
Use the following information to answer questions (16)(18). Suppose that a recent poll of American households about pet ownership found that for households with a pet, 39% owned exactly a dog, 33% owned a cat, and 7% owned a bird. Suppose that three households are selected randomly and with replacement. 16. (Objective: Apply the probability rules]) What is the probability that all three randomly selected households own a cat? (Round to the nearest hundredth) a. 0.06 b. 0.03 c. 0.04 d. None of the above [Objective: Apply the probability rules] What is the probability that none of the three randomly selected households own a bird? (Round to the nearest hundredth) a. 0.80 b. 0.93 c. 0.86 d. None of the above 18. Objective: Apply the probability rules] What is the probability that at least one of the three randomly selected households own a dog? (Round to the nearest hundredth) a. 0.27 c. 0.61 d. 0.70 Objective: Apply the probability rules] A true/false pop quiz contains seven questions. What is the probability that when guessing, a student will get at least one question correct? (Round to the nearest hundredth) a. 0.50 b. 0.97 c. 0.99 d. 1.00 Copyright O 2013 Pearson Education, Inc.Explanation / Answer
16)
P(all 3 owns cat)=0.33*0.33*0.33=0.04
option C
17)
P(none own a bird) =(1-0.07)3 =0.80
option A
18)
P(at least one own a dog) =1-P(none own a dog) =1-(1-0.39)3 =0.77
option B
19)
P(at least one question correct) =1-P(all are wrong) =1-(0.5)7 =0.99
option C