c. [The following information applies to the questions displayed below.] The Bur

Question

c.

[The following information applies to the questions displayed below.]

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 0.8 hour per day using a computer for leisure. If these times follow an exponential distribution, find the proportion of each group that spends:

Between 20 minutes and 60 minutes using a computer for leisure. (Round your answers to 4 decimal places.)

Find the 25th percentile. seventy five percent spend more than what amount of time? (Round your answers to 2 decimal places.)

rev: 05_18_2015_QC_CS-14973

c.

[The following information applies to the questions displayed below.]

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 0.8 hour per day using a computer for leisure. If these times follow an exponential distribution, find the proportion of each group that spends:

Between 20 minutes and 60 minutes using a computer for leisure. (Round your answers to 4 decimal places.)

Explanation / Answer

Solution:

c) P( 20 x 60) = P(x 60) - P( x 20)

Age 75 and over
poissoncdf(12, 60) - poisssoncdf(12,20) = 1 - 0.9884 = 0.0116
Ages 15 to 19
poissoncdf(48, 60) - poisssoncdf(48,20) = 0.9604 - 4.1380 = -3.1776

d) Amount of time for individuals ages 75 and over
X = poissinv(P, lambda) = poissinv(0.25, 12)

Amount of time for individuals ages 15 to 19
X = poissinv(P, lambda) = poissinv(0.25, 48)

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