Explain why x is a random variable

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Reference no: EM13187653

Let X denote the number of rainy days on the coming weekend. Suppose that there is a 20% chance of rain on Saturday and 50% chance of rain on Sunday. Assume that rain on Saturday and rain on Sunday are independent events, so that Prob(rain on Saturday AND rain on Sunday) = Prob(rain on Saturday)Prob(rain on Sunday), Prob(no rain on Saturday AND rain on Sunday) = Prob(no rain on Saturday)Prob(rain on Sunday), and so on.

a. Explain why X is a random variable.
b. Write the PDF of X.
c. Let F(x) denote the CDF of X evaluated at X = x. Find F(1).
d. Find E(X).
e. Find Var(X).

Reference no: EM13187653

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