The time between arrivals at an ATM machine follows an exponential distribution with = 10
minutes. Find the probability that between 15 and 25 minutes will pass between arrivals.
A) 0.223130 B) 0.082085 C) 0.305215 D) 0.141045
Q. 2The time between arrivals at an ATM machine follows an exponential distribution with = 10
minutes. Find the probability that less than 25 minutes will pass between arrivals.
A) 0.329680 B) 0.917915 C) 0.082085 D) 0.670320
Q. 3The time between arrivals at an ATM machine follows an exponential distribution with = 10
minutes. Find the probability that more than 25 minutes will pass between arrivals.
A) 0.329680 B) 0.082085 C) 0.670320 D) 0.917915
Q. 4The waiting time (in minutes) between ordering and receiving your meal at a certain restaurant
is exponentially distributed with a mean of 10 minutes.
The restaurant has a policy that your
meal is free if you have to wait more than 25 minutes after ordering. What is the probability of
receiving a free meal?
A) 0.670320 B) 0.082085 C) 0.329680 D) 0.917915
Q. 5The time (in years) until the first critical-part failure for a certain car is exponentially distributed
with a mean of 3.4 years. Find the probability that the time until the first critical-part failure is
less than 1 year.
A) 0.254811 B) 0.966627 C) 0.033373 D) 0.745189
Q. 6The time (in years) until the first critical-part failure for a certain car is exponentially distributed
with a mean of 3.4 years. Find the probability that the time until the first critical-part failure is 5
years or more.
A) 0.506617 B) 0.770210 C) 0.493383 D) 0.229790
Q. 7The time between customer arrivals at a furniture store has an approximate exponential
distribution with mean = 8.5 minutes. If a customer just arrived, find the probability that the
next customer will not arrive for at least 20 minutes.
A) 0.653770 B) 0.095089 C) 0.904911 D) 0.346230