The length of time spent waiting in line at a certain bank is modeled by an exponential density function with mean 8 minutes. (a) What is the probability that a customer is served in the first 3 minutes? (b) What is the probability that a customer has to wait more than 10 minutes? (c) What is the median waiting time?
Answers
Explanation:
CALCULUS
The length of time spent waiting in line at a certain bank is modeled by an exponential density function with mean 8 minutes. What is the median waiting time?
CALCULUS
The length of time spent waiting in line at a certain bank is modeled by an exponential density function with mean 8 minutes. What is the probability that a customer is served in the first 3 minutes?
CALCULUS
Suppose the time X a customer must spend waiting in line at a certain bank is a random variable that is exponentially distributed with density function
f(x)=\left\{\begin{array}{ll}{\frac{1}{4} e^{-x / 4}} & {\text { if } x \geq 0} \\ {0} & {\text { if } x<0}\end{array}\right.
f(x)={
4
1
e
−x/4
0
if x≥0
if x<0
where x is the number of minutes a randomly selected customer spends waiting in line. Find the expected waiting time for customers at the bank.