Question

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds. (a) Sketch this exponential probability distribution.

(b) What is the probability that the arrival time between vehicles is 10 seconds or less? (Round your answer to four decimal places.)

(c) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.)

(d) What is the probability of 30 or more seconds between vehicle arrivals? (Round your answer to four decimal places.)

Answer 1

Here first find the probabilities of exponential distribution by using MS-EXCEL

then plot those values in the graph

let x be the time between the arrivals

given mean = 10

for exponential distribution mean =

then