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 26 minutes, what is the probability that X is less than 30 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

0.685 = 68.5% probability that X is less than 30 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:

If X has an average value of 26 minutes

This means that

What is the probability that X is less than 30 minutes?

0.685 = 68.5% probability that X is less than 30 minutes

step-by-step explanation:

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