Question: Let X be a random variable with cdf given by FX(x)=0 for x < 0 and FX(x)=1 0.3ex for x 0. Determine: (i)

Let X be a random variable with cdf given by FX(x)=0 for x < 0 and FX(x)=1 −

0.3e−λx for x ≥ 0. Determine: (i) P(X = 0). (ii) λ if P(X ≤ 3) = 3/4. (iii) P(|X| ≤ 5)

using results of (ii)

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