Question

If the probability density function of a random variable X is ce−5∣x∣ , then (a) Compute the value of c. (b) What is the probability that 2 < X ≤ 3? (c) What is the probability that X > 0? (d) What is the probability that ∣X∣ < 1? (e) What is the cumulative distribution function of X? (f) Compute the density function of X3 . (g) Compute the density function of X2 .

Answer #1

Final answer for parts a to d are:

a)Ans)2.5

b) Ans) 0.000022547(round to 9 decimals)

c)Ans)0. 5

d)Ans)0.99326(round to 5 decimals)

Note-if there is any understanding problem regarding this please feel free to ask via comment box..thank you

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