Question

1. Table shows the hurricanes that have hit the U.S. mainland by category, with 1 the...

1. Table shows the hurricanes that have hit the U.S. mainland by category, with 1 the weakest level and 5 the strongest level.

Category (X)

1

2

3

4

5

Probability P(X)

0.351

0.296

0.240

0.095

0.018

A. Is the random variable X=hurricane category, a discrete or continuous variable? why

B. Is this a proper probability distribution? why.

C.probability of a category 3 or lower hurricane hitting the U.S. mainland

D.mean for this probability distribution, and standard deviation.

please show all complete work, thank you.

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