Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (If necessary, round your answer to three decimal places.) (a) The expected time between two successive arrivals 1 Correct: Your answer is correct. (b) The standard deviation of the time between successive arrivals

(a) The expected time between two successive arrivals is 1.000.

(b) The standard deviation of the time between successive arrivals is 1.000.

Step-by-step explanation:

The random variable X is defined as the time between two successive arrivals at the drive-up window of a local bank.

The random variable X follows an Exponential distribution with parameter λ = 1.

(a)

The mean or expected value of an Exponential distribution is:

Compute the mean value of X as follows:

Thus, the expected time between two successive arrivals is 1.000.

(b)

The standard deviation of an Exponential distribution is:

Compute the standard deviation of X as follows:

Thus, the standard deviation of the time between successive arrivals is 1.000.

1/5x+9 2/5y+7

step-by-step explanation: