The federal government has enacted maximum allowable standards for air pollutants such as ozone Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city The probability distribution of X is given by a Find P(1) b Find P(3 or fewer) c Find the probability that the standard is exceeded on at least one day d Find the probability that the standard is exceeded on more than two days e Compute the mean X f Compute the standard deviation X x 0 1 2 3 4 P(x) 0 33 0 38 0 19 0 06 0 04

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Question: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the

The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by x 0 1 2 3 4 P(x) 0.33 0.38 0.19 0.06 0.04

a. Find P(1).

b. Find P(3 or fewer).

c. Find the probability that the standard is exceeded on at least one day.

d. Find the probability that the standard is exceeded on more than two days.

e. Compute the mean μX.

f. Compute the standard deviation σX.

x 0 1 2 3 4 P(x) 0.33 0.38 0.19 0.06 0.04

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