Question

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 standards in a certain city. the probability of X is given by X= 0 1 2 3 4

P(x)= 0.33 0.38 0.19 0.06 0.04

1, find P(1)

2, find P(3 or fewer)

3, find the probability that the standard is exceeded one at least one day

Step 1

(1).

Here, the random variable X denotes the number of days per year that the level of air pollution exceeds the standards in a certain city.

The probability, P(1) is the probability at the point X= 1.

From the given probability distribution table, P(1) = **0.38.**

Step 2

(2).

The probability, P(3 or fewer) is the sum of the probabilities at the points, X= 0, X= 1, X= 2, and X= 3.

Th...

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