Precalculus 2014
36

 PAGE: 683 SET: Exercises PROBLEM: 36

(a)

The total number of hits by each wildcats player is .

The probability of the player is .

Similarlly .

.

.

.

The probability distribution of is

 Players,

Graph :

Graph of the probability distribution.

(b)

The mean value is .

.

The mean value  is .

(c)

The variance of random variable is .

.

The variance is .

The standard deviation is .

Substitute .

.

Therefore, the standard deviation is .

The probability distribution of is

 Players,

Graph of the probability distribution is.

The mean value of a random variable is .

The variance of a random variable is .

The standard deviation of a random variable   is .

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