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 32 minutes? (do not round until the final step. round your answer to 3 decimal places.)

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : 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.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e.

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is

The function form according to question is

The probability that X is less than 32 minutes is

Therefore, the probability that X is less than 32 minutes is 0.736.

translate k to n and reflect across the line containing jk.

a rotation about point l

step-by-step explanation:

quizlet