Question

# The Bureau of Labor Statistics’ American Time Use Survey showed that the amount of time spent...

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 0.35 hour (21 minutes) per day using a computer for leisure. Individuals ages 15 to 19 spend 1.1 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 18 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.) More than 2 hours. (Round your answers to 4 decimal places.) Between 36 minutes and 108 minutes using a computer for leisure. (Round your answers to 4 decimal places.) Find the 22th percentile. Seventy-eight percent spend more than what amount of time? (Round your answers to 2 decimal places.)

a) for age 75 and over : P(less than 18 minutes) =1-e-18/(0.35*60) =0.5756

for age ages 15 to 19 : P(less than 18 minutes) =1-e-18/(1.1*60) =0.2387

b)

for age 75 and over : P( More than 2 hours ) =e-18/(0.35*60) =0.0033

for age ages 15 to 19 : P( More than 2 hours ) =e-18/(1.1*60) =0.1623

c)

for age 75 and over : P( Between 36 minutes and 108 minutes ) =0.1743

for age ages 15 to 19 : P( Between 36 minutes and 108 minutes ) =0.3849

d)

for age 75 and over : 22nd percentile = 5.22 minutes

for age ages 15 to 19 : 22nd percentile = 16.40 minutes

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