Question

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are independent. (a) If you call 10 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654). 0.1877 (b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654). i 0.4248 (c) If you call 24 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer. 20 (d) What is the probability that you must call four times to obtain the fırst answer in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654). (e) What is the mean number of calls until you are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654). Attempts: 1 of 3 used Submit Answer Save for Later Using multiple attempts will impact your score. 5% score reduction after attempt 2

Answer 1

solution : x a Bimonial 110;0.75) P(x) = ( xqm-x 10) P6x=9) - (55) 10.45)%10.25) = 10.1877 (b) P(x216) = 100)(0-4560.ergo* 10.4148 { xn Binomial (20;0.75) (① m= 24 E(x) = mp = 24x 0.75 X16 4-1 d) an Geometric P(x) = q*'p P(x-4) = (0.25) 10.75) = 10.0117 ] SEW ods-1.4333