Let X be a discrete random variable with Pr{X = i} = ci for positive, odd integers 3 ≤ i ≤ 13; otherwise, the probability is zero.
(a) Compute E[min(9,X)].
(b) Compute E[(X − 9)+] where x+ = max(x, 0).
Let X be a discrete random variable with Pr{X = i} = ci for positive, odd...
4. Let X be a discrete random variable with Pr(X i} = ci for positive, odd integers 3 i 13; otherwise, the probability is zero e) Compute E[min(9, X)]. (f) Compute E(X-9)+] where x+ = max (x,0).
4. Let X be a discrete random variable with PrX-ici for positive, odd integers 3 Sis 13; otherwise, the probability is zero a) Compute the value of c. (b) What is the mean of X? (c) What is the second moment of X (that is, E[X21)? (d) What is the variance of X? (e) Compute E[min(9, X) (f) Compute E(X-9)*) where x+ = max(x,0).
4. Let X be a discrete random variable with PrXici for positive, odd integers 3 3i s 13 otherwise, the probability is zero (a) Compute the value of c. (b) What is the mean of X? (c) What is the second moment of X (that is, E[X2])? (d) What is the variance of X? (e) Compute E[min(9, X)]. (f) Compute E[(X - 9)+] wherea+max(x, 0)
Let X be a discrete random variable that is equally likely to be integers in the range [a,b], where a and b are integers with a<0<b. Find the PMF of the random variable Y = max(0,X).
3. Let X be a discrete random variable with the probability mass function 2 18 x=1,2,3,4, zero otherwise. , 12 a Find the probability distribution of Y-g(X- TXI b) Does Hy equal to g(Hx)? Ax=E(X), μ,-E(Y).
Let X be a discrete random variable. If Pr(X<9) = 2/9, and Pr(X<=9) = 6/18, then what is Pr(X=9)? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12
3. (10 points) Let X be continuous random variable with probability density function: fx(x) = 7x2 for 1<<2 Compute the expectation and variance of X 4. (10 points) Let X be a discrete random variable uniformly distributed on the integers 1.... , n and Y on the integers 1,...,m. Where 0 < n S m are integers. Assume X and Y are independent. Compute the probability X-Y. Compute E[x-Y.
Let X be a discrete random variable with PMF(a) Find P(X ≤ 9). (b) Find E[X] and Var(X). (c) Find MX(t), where t < ln 3.
Let x be a discrete random variable with PR mass function f(x)=2(1/3)^x, x=1,2,3.. A) Compute Mx(t) B) Compute M'1=EX, M'2=EX^2
discrete random variable has probability mass function, P(X = n) = ?1?n. ? 1, forxeven Let Y = −1, for x odd Find the expected value of Y ; (E[y]). probability function mass A discrete random variable has P ( X = n) = (3) for x Y = { for Find the expected value of Y CE(y)] Let even x odd