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# burban Families Watched An Average Of μ = 60 Minutes Of Television Each Day. Assuming That The Distribution Of Television-watching Times Is Normal With A Standard Deviation Of σ = 25 Minutes, Find Each Of The Following Proportions. A. What Proportion Of 2-year-old Children Watch ...

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A recent report indicates that 2-year-old children from well-educated suburban families watched an average of μ = 60 minutes of television each day. Assuming that the distribution of television-watching times is normal with a standard deviation of σ = 25 minutes, find each of the following proportions.

a. What proportion of 2-year-old children watch more than 2 hours of television each day?

b. What proportion of 2-year-old children watch less than 30 minutes a day?

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Step 1

Given data

Mean µ = 60 min

Standard deviation σ = 25 minutes

a) proportion of 2-year-old children watch more than 2 hours(=120 minutes) of television each day is given by

P(X>120)

Changing into standard normal variate

Step 2

b) proportion of 2-year-old children watch less than 30 minutes a day is giv...

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