Dirty air: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
Px	0.34	0.40	0.17	0.06	0.03

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Part 1 of 6

(a) Find P (1).

Part 2 of 6

(b) Find P(3 or fewer).

Part 3 of 6

(c) Find the probability that the standard is exceeded on at least two days.

Part 4 of 6

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

Part 5 of 6

(e) Compute the mean x. Round the answer to two decimal places.

Part 6 of 6

(f) Compute the standard deviation x .Round the answer to three decimal places.