Question

1. the organizer of a television show must select 5 people to participate in the show. the participants will be selected from a list of 30 people who have written in to the show. if the participants are selected randomly, what is the probability that the 5 youngest people will be selected? a) \\(\frac{1}{120}\\) b) \\(\frac{1}{15}\\) c) \\(\frac{1}{142,506}\\) d) \\(\frac{1}{17,100,720}\\) 34) suppose that 14% of people are left - handed. if 9 people are selected at random, what is the probability that exactly 2 of them are left - handed? a) 0.0196 b) 0.245 c) 0.491 d) 0.0933 35) find the probability of at least 2 girls in 6 births. assume that male and female births are equally likely and that the births are independent events. a) 0.234 b) 0.109 c) 0.891 d) 0.656 36) a class has 8 students who are to be assigned seating by lot. what is the probability that the students will be arranged in order from shortest to tallest? (assume that no two students are the same height.) a) 0.00019841 b) 0.00024802 c) 0.0000248 d) 0.1000 37) the number of calls received by a car towing service averages 19.2 per day (per 24 - hour period). after finding the mean number of calls per hour, use the poisson distribution to find the probability that in a randomly selected hour the number of calls is 2. a) 0.11503 b) 0.14379 c) 0.15816 d) 0.17973 38) suppose the probability of contracting a certain disease is p = 0.0006 for a new case in a given year. use the poisson distribution to approximate the probability that in a town of 6000 people there will be at least one new case of the disease next year. round to four decimal places. a) 0.8743 b) 0.9994 c) 0.0273 d) 0.9727 e) 0.0884 39) a irs auditor randomly selects 3 tax returns from 49 returns of which 7 contain errors. what is the probability that she selects none of those containing errors? round to four decimal places. a) 0.6297 b) 0.0029 c) 0.6231 d) 0.0019 40) a sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 7 wood and 14 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective. a) 0.535 b) 0.105 c) 0.57 d) there is insufficient information to answer the question.

Explanation:

Answer:

(33) D. \(\frac{1}{17,100,720}\)
(34) A. 0.0196
(35) C. 0.891
(36) A. 0.00019841
(37) C. 0.15816
(38) C. 0.0273
(39) A. 0.6297
(40) A. 0.535