x P(x) 0 0.1672 1 0.3343 2 0.2881 3 0.1501 4 0.0366 5 0.0237 (c) Compute...

x	P(x)
0	0.1672
1	0.3343
2	0.2881
3	0.1501
4	0.0366
5	0.0237

(c) Compute and interpret the mean of the random variable X.(Type an integer or a decimal. Do not round.)

Which of the following interpretations of the mean is correct?

(d) Compute the standard deviation of the random variable X.(Round to three decimal places as needed.)

(e) What is the probability that in a randomly selected game, the player got 2 hits?

(f) What is the probability that in a randomly selected game, the player got more than 1 hit?(Type an integer or a decimal. Do not round.)

Expert Solution

Solution:

(c) Mean = 1.6257

=> As the number of experiments increases,the mean of the observations will approach the mean of the random variable.

(d) standard deviation = 1.1717 = 1.172 (rounded)

(e) P(X = 2) = 0.2881

(f) P(X > 1) = P(2)+P(3)+P(4)+P(5)
= 0.2881+0.1501+0.0366+0.0237
= 0.4985

orchestra answered 2 years ago

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