Answer 9-12 please I'm having a hard time
Answer 9-12 please I'm having a hard time QUESTION 9 Y is a random variable that...
QUESTION 9 Y is a random variable that is distributed N(5,12.96). Find k such that Prob(Y< 2.012 OR Y> k) 0.9356 QUESTION 10 Y is a random variable that is distributed N(-2,17.64). Find k such that Prob(Y <-10.19 OR Y> k)-0.0444 QUESTION 11 Y is a random variable that is distributed N(2,104.04). FIind Prob(-27.784 < Y<7.916).
QUESTION 12 Let the random variable X and Y have the joint p.d.f. f(x,y) =(zy for 0< <2, 0 < y <2, and z<y otherwise Find P(0KY <1) 16 QUESTION 13 R eter to question 12. Find P(o < x <3I Y-1).
5. Y is a continuous random variable with pdf f(y) = (4 – y)/8, 0<y< 4. (a) Find E(Y). (b) Find E(Y2). (c) Find Var(Y).
Problem 9: Suppose X is a continuous random variable, uniformly distributed between 2 and 14. a. Find P(X <5) b. Find P(3<X<10) c. Find P(X 2 9)
(c) Find the variance of Y. 3. A random variable Y has the density function f(y) = Ky exp(-y/4), for osy<0. Then, [3+3+4=10 points) (a) Find the constant K. (b) Find the variance of Y. (C) Evaluate P(x > ).
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2. For any Random Variable Y, show that yı < EY] < y2, if yı <Y < y2.
QUESTION 7 Suppose Z is a standard normal random variable. Find the value of Za/2 such that PK-zo/2 < Z< Zo/2)-0.95
A continuous random variable Y has density function f(y) = f'(y) = 2 · exp[-4. [y] defined for -00 < y < 0. Evaluate the cumulative distribution function for Y Consider W = |Y| and find its C.D.F. and density Determine expected value, E [Y] Derive variance, Var [Y]
+ 2 A continuous random variable Y has moment generating function m(t) = e50t+251-72. Find (a) P(40 <Y < 45) (b) a value b such that P(Y < b) = 0.975.
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)