An exponential probability distribution has a mean equal to 6 minutes per customer. Calculate the following...

An exponential probability distribution has a mean equal to 6 minutes per customer. Calculate the following probabilities for the distribution. (PLEASE USE EXCEL FUNCTIONS TO CALCULATE)

A) P(X > 8)

B) P(X > 4)

C) P(6 less than or equal to X less than or equal to 16)

D) P(1 less than or equal to X less than or equal to 5)

Solutions

Expert Solution

a) P(X > 8) = 1 - EXPON.DIST( 8, 1/6, TRUE) = 0.2636

b) P(X > 4) = 1 - EXPON.DIST( 4, 1/6, TRUE) = 0.5134

c) P(6 < X < 16) = P(X < 16) - P(X < 6)

= EXPON.DIST( 16, 1/6, TRUE) - EXPON.DIST( 6, 1/6, TRUE)

= 0.2984

d) P(1 < X < 5) = P(X < 5) - P(X < 1)

= EXPON.DIST( 5, 1/6, TRUE) - EXPON.DIST( 1, 1/6, TRUE)

= 0.4119

milcah answered 2 hours ago

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