# 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

https://brainmass.com/statistics/probability/probability-based-on-exponential-distribution-415889

#### Solution Summary

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