Question

In: Statistics and Probability

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 0.40 hour (24 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:

  1. Less than 22 minutes per day using a computer for leisure. (Round your answers to 4 decimal places.)

Age 75 and over

Ages 15 to 19

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

Age 75 and over

Ages 15 to 19

  1. Between 44 minutes and 132 minutes using a computer for leisure. (Round your answers to 4 decimal places.)

Age 75 and over

Ages 15 to 19

  1. Find the 24th 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

Amount of time for individuals ages 15 to 19

Solutions

Expert Solution

The CDF of the exponetial distribution with mean is

a) The proportion that spends less than 22 minutes per day using a computer for leisure

Age 75 and over

Ages 15 to 19

b)The proportion that spends more than 2 hours (120 minutes) per day using a computer for leisure

Age 75 and over

Ages 15 to 19

b)The proportion that spends between 44 minutes and 132 minutes using a computer for leisure per day using a computer for leisure

Age 75 and over

Ages 15 to 19

d) The 24th percentile is

Age 75 and over

Ages 15 to 19

​​​​​​​

orchestra answered 1 year ago
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