The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. A. What is the probability that the arrival time between customers will be 7 minutes or less?
B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

In which is the decay parameter.

The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

Mean of 10 minutes:

This means that

A. What is the probability that the arrival time between customers will be 7 minutes or less?

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

sorry can't

step-by-step explanation:

i googled though and something came up but it was in science langueage not common english sooo

step-by-step explanation: