The Bureau of Labor Statistics’ American Time Use Survey showed that the amount

Question

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 0.30 hour (18 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:

1. Less than 14 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.)

Age 75 & over

Ages 15-19

2. More than 2 hours. (Round your answers to 4 decimal places.)

Age 75 & over

Ages 15-19

3. Between 28 minutes and 84 minutes using a computer for leisure. (Round your answers to 4 decimal places.)

Age 75 & over

Ages 15-19

4. Find the 28th percentile. Seventy-two percent spend more than what amount of time? (Round your answers to 2 decimal places.)

Amount of time for people ages 75 and over

Amount of time for people ages 15-19

Explanation / Answer

POISSON 1 hr = 60 min a) 75 P(x120 ) = 0 c) P( 42 x 126) = P(x 126) - P( x 42) poissoncdf(24, 126) - poisssoncdf(24,42) = 1 - .9997 = .0003 etc d) X = poissinv(P,lambda) = poissinv(.28, 24) X = poissinv(P,lambda) = poissinv(.28, 78)

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