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Probability based on exponential distribution

The Bureau of Labor Statistics' American Time Use Survey showed that the amount of time spent using a computer for leisure varied greatly by age. Individuals age 75 and over averaged .15 hour (9 minutes) per day using a computer for leisure. Individuals ages 15 to 19 spend 1.0 hour per day using a computer for leisure. If these times follow an exponential distribution, find the proportion of each group that spends:

Less than 8 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.)

Proportion _____ and _____

More than two hours. (Round your answers to 4 decimal places.)

Proportion ____ and ____

Between 16 minutes and 48 minutes using a computer for leisure
Proportio ____ and ____

Find the 30th percentile. Seventy percent spend more than what amount of time? (Round your answers to 2 decimal places.)

Amount of time for individuals age 75 and over minutes
Amount of time for individuals ages 15 to 19 minutes

Solution Summary

Step by step method for computing Probability based on exponential distribution is given in the answer.

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