(f) X is uniform in (0, 1). The CDF of Y = -X is (g) If X and Y are identically

Question

(f) X is uniform in (0, 1). The CDF of Y = -X is (g) If X and Y are identically distributed and independent and each is N (1, 2), the density of Y = X - Y is [give the answer in terms of N ()] (h) A, B, C are three events and C is mutually exclusive of A and B. The probability of (A + B + C) is in terms of the probabilities of A, B, and C (i) X is a discrete random variable taking values of -3, -2, -0, 0, 1 2, with probabilities of 0.1, 0.2, 0.3, 0.1, 0.2 and 0.1 respectively. Write down the expression for the pdf of Y = X^2. (j) X and Y are independent identically exponential variables each with mean 4. The E [XY] is

Explanation / Answer

g) N(0,4)

h) P(A)+P(B)+P(C)

i) y= 9,4,1,0,1,4 and P(Y=y)= 0.1, 0.2, 0.3, 0.1, 0.2, 0.1 respectively.

j) E(XY)=E(X) . E(Y) =4x4=16 since X and Y are i.i.d.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.