Let X be an exponential random variable with parameter λ=2. Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3).

Question

a) E[(3X+1)2]=

b) P(1≤X≤2)=
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Answer 1

a) 17/2

b) 0.11702

Answer 2

2p²n³ × 6 pn=