The Bureau of Labor Statistics’ American Time Use Survey showed that the amount
ID: 2927527 • Letter: T
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 0.9 hour per day using a computer for leisure. If these times follow an exponential distribution, find the proportion of each group that spends:
a. Less than 17 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.)
c. Between 34 minutes and 102 minutes using a computer for leisure. (Round your answers to 4 decimal places.)
d.Find the 30th percentile. seventy percent spend more than what amount of time? (Round your answers to 2 decimal places.)
a. Less than 17 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.)
Proportion Age 75 and over Ages 15 to 19b. More than two hours. (Round your answers to 4 decimal places.) Proportion Age 75 and over Ages 15 to 19
c. Between 34 minutes and 102 minutes using a computer for leisure. (Round your answers to 4 decimal places.)
Proportion Age 75 and over Ages 15 to 19d.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 ages 75 and over minutes Amount of time for individuals ages 15 to 19 minutesExplanation / Answer
a. age 75 and over, P(X<=17)=1-e^(-17/0.30)=1, age 15-19, P(Y<=17)=1
b. age 75 and over, P(X>=2)=e^(-2/0.3)=0.0013, age 15-19, P(Y>2)=0.1084
c. age 75 and over, P(34<=X<=102)=e^(-34/0.3)-e^(-102/0.3)=0, age 15-19, P(34<=Y<=102)=0
d. age 75 and over, P(X<=x)=0.70; e^(-x/0.3)=0.30, x=0.36, age 15-19, y=0.09
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