Question

In: Statistics and Probability

Assume that daily TV viewing is normally distributed and has a mean of 8 hours per...

  1. Assume that daily TV viewing is normally distributed and has a mean of 8 hours per household with a standard deviation of 2 hours. Find the following probabilities:

  1. Probability that a randomly selected household views TV more than 10 hours a day, i.e. P( x > 10)
  2. Probability that a randomly selected household views TV more more than 11 hours a day, i.e. P(x > 11)
  3. Probability that a randomly selected household views TV less than 3 hours a day, i.e. P(x < 3)
  4. Probability that a randomly selected household views TV between 10 and 12 hours a day, i.e. P( 10 < x < 12)

Solutions

Expert Solution

Let "X" be household views TV more than 10 hours a day.

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.5, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-2.5, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2, TRUE)" & "=NORM.S.DIST(1, TRUE)" to find the probability.


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