# 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  0.041, find P(1)2, find P(3 or fewer)3, find the probability that the standard is exceeded one at least one day

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...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in