Waiting times to receive food after placing an order at the local subway sandwich shop follow an exponential distribution with a mean of 68 seconds. calculate the probability a customer waits: a. less than 40 seconds. (round your answer to 4 decimal places.) probability b. more than 126 seconds. (round your answer to 4 decimal places.) probability c. between 45 and 74 seconds. (round your answer to 4 decimal places.) probabilityp d. fifty percent of the patrons wait less than how many seconds? what is the median? (round your answer to 2 decimal places.) median seconds

What is the frequency of the sinusoidal graph?

According to the general equation for conditional probability if p(anb)=3/7 and p(b)=7/8 what is p(a i b)

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.