With Explanation Please. 2- Choose the correct answer If the continuous random variable X is uniformly...
With explanation please. 2- Choose the correct aaswer (Write dowu the correct answer letter AND valuc at your answer a. | 1f random variable Xhas a mea Mr O a standard deviation ơx 4, and (C) 2 and σ r 16 (1) μ,--3 and σ r-8 dE) none of the above t. b. If the continuous random variable X is uniformly distributed witlh a mean of 45 and a variance of 75. The probability that X lies between 40 and...
Choose the correct answer with detailed explanation please . 2- Choose the correct answer (Write down the correct answer letter AND valuc at your answer booklet) a. Let X be a real-valued, continuous random varia ble and let YX. Then, If y 2 0, then the cumulative distribution function E,(v): F,(一./5) _ Fx(,5) (D) -Fx(JF) _ F,(-(y) (E) none of the above pt. If a random variable X has a PDF (x)-2(x-1) 1ss2 (A) 35 (B) 5/3 variance of 75....
Let X be a continuous random variable uniformly distributed on the unit interval (0, 1), .e X has a density f(x) = { 1, 0<r<1 f (x)- 0, elsewhere μ+ơX, where-oo < μ < 00, σ > 0 (a) Find the density of Y (b) Find E(Y) and V(Y)
4. Let X be a continuous random variable with probability density function: x<1 0, if if| if x>4 f(x) = (x2 + 1), 4 x 24 0 Find the standard deviation of random variable X.
With explanation please. 2- 10 pts.)Choose the correct answer(Write down the correct answer letter AND value at your answer booklet- For Non-of-the-above choice, write down the correct answer.) 5 , a standard deviation σχ (C) | If random variable X has a mean μΧ 2, and Y-4-2X then: a. (B) μ,--8 and σ r= 6 (E))one of the above μ,--4 and σ,-16 VARE4-1).HARRI, (4)(4).ls, (A) μ,--6 and ơr" 16 -6an dơ,-8 l p b. 1ss2 if a random variable X...
4. Let X be a continuous random variable with probability density 1 0< x<3 -x + k =6 f(x) elsewhere 0, Evaluate k. a. b. Find P(1 < X< 2). c. Find E(X) d. Find e. Find ox. 4. Let X be a continuous random variable with probability density 1 0
6. Let X be the continuous random variable denoting the probability that the Game- cocks baseball team will qualify for this year's College World Series. Assume that the probability density function (pdf) of X is given by J(x)-Ca () for 0Szs1, where C is a constant of proportionality that makes f (a) Find the appropriate value of C. Then plot the PDF. (b) Find PriX> 8). (c) Find the mean, p, of X. (d) Find the standard deviation, σ, of...
Please help with this question. 12. (15 points) Let X be a continuous random variable with cumulative distribution function 0. F(x) = Inc. <a a<x<b bcx 1. (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
1. Let X be a continuous random variable with probability density function f(x) = { if x > 2 otherwise 0 Check that f(-x) is indeed a probability density function. Find P(X > 5) and E[X]. 2. Let X be a continuous random variable with probability density function f(x) = = { SE otherwise where c is a constant. Find c, and E[X].
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?