In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) A USE SALT (a) (c) - 0.9854 (b) P(O SZS c) = 0.2939 (c) P(c s Z) -0.1230

For each probability and percentile problem, draw the picture.Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to 12 minutes. Part (g) Find the probability that a phone call lasts less than 13 minutes. (Round your answer to four decimal places.) Part (h) Find the probability that a phone call lasts more than 13 minutes. (Round your answer to four decimal places.) Part (i) Find the probability that a phone call lasts between 9 and 13 minutes. (Round your answer to four decimal places.)

Charlie is about to take two laps in the school swimming pool. The time of his first lap is X minutes,  where X is an Exponential(1) random variable. The time of his second lap is Y minutes, where Y is an Exponential(X) random variable. What is the probability that he completes his second lap within one minute?

You host a house party with 4 guests attending. Every guest gets a chance to win a gift by spinning a wheel with 1/3 of a chance of stopping at the winning spot. If you prepare 2 gifts to give away, what is the probability of you being embarrassed for running short of gifts (i.e, there are more winners than the number of gifts). Round your answer to two decimal places (for example: 0.12)