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Consider the probability distribution shown for the random variable x found below. Complete part a through...

Consider the probability distribution shown for the random variable x found below. Complete part a through f.

x

2

3

5

 11

​p(x)

0.5

0.1

0.2

0.2

a. find mu = E(x) . round to the nearest tenth

b. find sigma2 = E[(x - mu)2] round to the nearest hundreth

c. Find sigma (found to four decimal places)

d. Interpret the value you obtained for mu. Chose the correct answer.

A. The average value of x over many trials will be more than ?.

B. The average value of x over many trials will be less than ?.

C. The average value of x over many trials is equal to ?.

e. In this case, can the random variable x ever assume the value mu? Y/N

f. In general can a random variable ever assume a value equal to its expected value? Y/N

math   Statistics-And-Probability   
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