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 0.20 hour (12 minutes) per day using a computer for leisure. Individuals ages 15 to 19 spend 1.2 hours 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 12 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.) Age 75 and over: Age 15 to 19: b. More than 2 hours. (Round your answers to 4 decimal places.) Age 75 and over: Age 15 to 19: c. Between 24 minutes and 72 minutes using a computer for leisure. (Round your answers to 4 decimal places.) Age 75 and over: Age 15 to 19: d. Find the 26th percentile. Seventy-four percent spend more than what amount of time? (Round your answers to 2 decimal places.) Amount of time for individuals ages 75 and over: Amount of time for individuals ages 15 to 19:
Added by Cristina B.
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We know that the average time spent using a computer for leisure is given by $\frac{1}{\lambda}$. So, we have: For age 75 and over: $\frac{1}{\lambda_{75}} = 0.20$ hours For age 15 to 19: $\frac{1}{\lambda_{15}} = 1.2$ hours Now, we can find the $\lambda$ values Show more…
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