The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with...

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The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with...

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds.

a) Write the probability density function and the cumulative probability distribution

b) What is the probability that the arrival time between vehicles is 12 seconds or less?

c) What is the probability that the arrival time between vehicles is 6 seconds or less?

d) What is the probability of 30 or more seconds between vehicle arrivals?

math Statistics-And-Probability

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Solution with use of excel. The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds.
a. Choose the graph of this exponential probability distribution.


b. What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)?
P(x<=12)=	0.6321	write as =EXPON.DIST(12,1/12,TRUE)

c. What is the probability that the arrival time between vehicles is 6 seconds or less (to 4 decimals)?
P(x<=6)	0.3935	write as =EXPON.DIST(6,1/12,TRUE)

d. What is the probability of 30 or more seconds between vehicle arrivals (to 4 decimals)?

P(x>=30)	0.0821	write as =1-EXPON.DIST(30, 1/12,TRUE)

answered by: Yr

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