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Question - 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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