Question

Let X be the amount of time (in minutes) a USPS clerk spends with a customer. It is known that X follows an exponential distribution and USPS clerks take care of 38.1 percent of customers less than two minutes. Find P(0.5 < X < 3).

Answer 1

Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

$P(x$

As per given,

$P(x$

$P(0.5 < X < 3) \\\\=P(X$

Hence, the required probability = 0.4