Find the probability x takes on a value smaller than the


The probability distribution for a random variable X is given in the table below.

x

5

10

15

20

P(x)

0.10

0.15

0.70

0.05

a. Find the mean, variance, and standard deviation of X.

b. Find the probability X takes on a value smaller than the mean.

c. Using the probability distribution, explain why the value of the mean of X makes sense.

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Basic Statistics: Find the probability x takes on a value smaller than the
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