Question

protuction line hanl between two consecutive defective light bulbs from a he th probaform distribution over an interval from 50 to 130 minutes. What is the probability that interval 4. Suppose the time interval tw distributiono production line has a be at least 110 minutes? the time interval between two consecutive defective light bulbs will a. 0 с. 0.50 d. 0.25 Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 50 to 130 minutes is the mean of this distribution? 5. What a. 90 b. 80 c. 130 The Nationwide Motel Company has determined that 88 percent of all calls for motel reservations request nonsmoking rooms. Recently, the customer service manager for the company randomly selected 40 calls. Assuming that the distribution of calls requesting nonsmoking rooms is described by a binomial distribution, what is the standard deviation of requests for nonsmoking rooms? 6. a. 4.22 b. 2.29 c. 2.06 d. 35.2 7. Fifty-four of the staff of 120 teachers at a local intermediate school are certified in Resuscitation (CPR), In 180 we expect that the teacher on bus duty will likely be certified in CPR? days of school, about how many days can Cardio-Pulmonary a. 54 days b. 45 days c. 99 days d. 81 days 8. If a student estimated that the probability of correctly answering each question in a multiple-choice question is 60%, determine the probability of earning at least a 90% grade on a 20-question exam. a. 0.6000 b. 0.003 c. 0.9964 d. 0.0036

Answer 1

4) X has uniform distribution with parameters α-50 β-130 P(x2110)-1-P(x<1 10)-1- - Option d 5) Mean (50+130)/2-90 Option al 6) standard deviation-n p (1-P)-V40 0.88 (1 - 0.88)-2.055237 110-a1 110-50 -1-0.75-0.25 130-50 -2.06 Option c 7) Certified staff-54/120 Expected number of days (54/120)*180-81 days Option d 8) X-Bin(p-0.60,n-20) 90% of 20-18 P(x>18)-1-P(x<18)-0.9964-0.0036 Option d