Question

In: Statistics and Probability

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.)

Solutions

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


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