Question

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes, what is the probability that X is less than 29 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

Answer 1

Solution:

Given that,

Mean = = 24

P( X < x ) = 1 - ^-x/

P(X < 29 ) = 1 - e ^{-29 / 24}

= 0.701

The probability that X is less than 29 minutes is 0.701.