Consider a random variable X that takes on the following values with the following probabilities: P(X= 1) = 0.2, P(X= 2) = 0.1, P(X= 5) = 0.4, P(X = 8) = 0.3 a) Verify that this is a proper probability distribution b) Find the mean for X c) Find the standard deviation o for X

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Consider a random variable X that takes on the following values with the following probabilities:
P(X = 1) = 0.2, P(X = 2) = 0.1, P(X = 5) = 0.4, P(X = 8) = 0.3
a) Verify that this is a proper probability distribution
b) Find the mean for X
c) Find the standard deviation o for X
Transcribed Image Text:Consider a random variable X that takes on the following values with the following probabilities: P(X = 1) = 0.2, P(X = 2) = 0.1, P(X = 5) = 0.4, P(X = 8) = 0.3 a) Verify that this is a proper probability distribution b) Find the mean for X c) Find the standard deviation o for X
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