SOLUTION: 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 averag

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Question 864069: 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 .40 hour (24 minutes) per day using a computer for leisure. Individuals ages 15 to 19 spend 1.3 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 21 minutes per day using a computer for leisure. (Round your answers to 4 decimal


(b)More than two hours. (Round your answers to 4 decimal places.)
(c)Between 42 minutes and 126 minutes using a computer for leisure. (Round your answers to 4 decimal places.)

(d)Find the 28th percentile. Seventy two percent spend more than what amount of time? (Round your answers to 2 decimal places.)
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

POISSON  1.3 hr = 78 min

a) ≥ 75   P(x<21) = 24.26%

  15-19   P(x<21) = 0%

b) ≥ 75   P(x>120) = 0

  15-19   P(x>120 ) = 0

c) P( 42 ≤ x ≤ 126) = P(x ≤ 126) - P( x ≤ 42)

 poissoncdf(24, 126) - poisssoncdf(24,42) = 1 - .9997 = .0003

etc

d) X = poissinv(P,lambda) = poissinv(.28, 24)

   X = poissinv(P,lambda) = poissinv(.28, 78) 

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