Fill in the missing value so that the following table represents a probability d

Question

Fill in the missing value so that the following table represents a probability distribution. Write only a number as your answer. 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 Find the probability that the standard is exceeded on at least one day. Write only a number as your answer. Round to two decimal places (for example: 0.53). Do not write as a percentage.

Explanation / Answer

Solution:-

2)

For a probability distribution, sum of all probabilities should be equal to 1.

P(x) = 1

1 = 0.31 + 0.23 + 0.06 + x

x = 0.40

3) The probability that the standard is exceded on at least one day.

P(x > 1) = P(x = 1) + P(x = 2) + P(x = 3)

P(x > 1) = 1 - (0.38 + 0.19 + 0.06 + 0.04)

P(x > 1) = 0.33

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