QUESTION 29 A 20 question multiple choice test consists of questions that have 3 answer choices each. If you guess on each question and each choice has the same chance of being chosen, estimate the probability that you get at least 85%% correct to pass. O A.0.1% O B. 1% O C. 10% O D. 12% QUESTION 30 A batter's hitting average is 0.357. If he gets up to bat 648 times, what is the probability he gets at least 250 hits? O A. 15% O B. 8.3% O C. 35.7% O D. 57% QUESTION 31 A fifty-question multiple choice test consists of questions which each have four possible choices for the answer to each question. Estimate the probability of answering at least 70%% of the questions correctly if all of the answers are random guesses. O A 1% O B.0% O C. 0.01% O D.0.1% QUESTION 32 A pool company has determined that there is a 0.02 chance a pool liner will get a tear in it within the first year of installation. The company's policy is to repair any such tears that occur within one year for free. If they install 200 pools, what is the probability that they will have to repair at most 3 pool liners? OA. 0. 118 O B. 0.528 O C. 0.285 O D. 0.007 QUESTION 33 A sales representative for a magazine subscription company notices that 60%% of magazines sold are gossip magazines, 20%% sold are sports magazines, 15% sold are home and garden magazines, and 5% are health magazines. If the sales representative sells 10 magazine subscriptions, what is the probability that she sells exactly 4 sports magazines? Round your answer to the nearest thousandth. O A. 0.008 O B. 0.056 O C. 0.072 O D.0.088 QUESTION 34 At the school library, Camelia finds 8 books she wants to read, but decides to check out only 4 of them. Which expressions represents how many different selections can she make? O AP4 O B & C4 O C. a! - 4! O D.a!QUESTION 35 Estimate the following probability to the nearest hundredth: P(at least 98 successes) when p = and n = 160. O A. 0.37 O B. 0.08 O C.0. 12 O D.0.68 QUESTION Estimate the following probability to the nearest hundredth: P(at least 14 successes) when p = 0.2 and n = 100. A. 0.67 O B. 0.03 O C.0.24 O D. 0.02 QUESTION 37 3 Estimate the following probability to the nearest hundredth: P(at most 80 successes) when p = y and n = 125. O A. 35.31% O B. 15.78% O C. 7.42% O D.0.22% QUESTION 38 3 Estimate the following probability to the nearest thousandth: P(at least 110 successes) when p =] and n =300. O A. 0.008 O B. 0.080 O C.0.108 O D. 0.023 QUESTION 39 Find the mean and standard deviation for the following binomial distribution: rolling a die 50 times and getting at most 37 six's. OAX-41.7, 0-2.64 OBX-41.7, 0-6.9 OC.X-8.3, 0-6.9 O D. X-8.3, 0-2.64 QUESTION 40 Given the expression 1267, which of the following scenarios could this combination represent? O A. selecting 5 out of 23 students to give a presentation during class today O B. selecting 7 out of 12 students to compete at an art fair O C. the order in which the first 7 runners of a race finish O D. arranging 7 students in 12 chairsQUESTION 41 Greg is given a science pop quiz with five questions. If he guesses on each question and is equally likely to choose any one of the four answers, what is the probability he will get at most 2 correct? OA. 135 512 O B. 459 512 O C. 405 1, 024 OD. 243 1, 024 QUESTION 42 How many ways can the letters of the word EIGHT be arranged if the first letter must be an E? A. 720 O B. 120 O C. 24 OD.5 QUESTION 43 4 If the probability that Mike will successfully complete a foul shot is c. what is the probability that he will successfully complete exactly three of his next four foul shots? O A 64 625 OB. 192 625 O C. 256 625 O D. 64 125 QUESTION 44 If the same golfers compete in the next toumament, except only first and second prizes are awarded, how many ways can the golfers place? O A. 113,050 O B. 700 O C. 452,200 O D. 268,806,800