Question: Give the random variable X is uniformly distributed and its density given as: f(x) = 1 b-a a) show that this is a density for

Give the random variable X is uniformly distributed and its density given as:

f(x) = 1\ b-a

a) show that this is a density for continuous random variable

b) find the probability of p(X

c) find the probability of P(X=c) if c belongs to (a , b)

d) find F(X)

e) show that var(X) = (b-a)2/12

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