Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18 Find E(X), Var(X) and sd(X)

Q: Suppose a continuous random variable Y has the following c.d.f. (cumulative distribution function)…

A: A continuous random variable  has the following cumulative distribution function:

Q: The pdf of a random variable X is given by: 1 3 f(x) = + for 0 ≤æ≤2 8 8x Please find P(1 ≤ x ≤ 1.5).…

A: Use the given information.

Q: x 0  1 2 3 P( X= x ) 0 k 2k 3k Show that k= 1/6. Find the mean of the probability distribution and…

A:

Q: Let Y be a continuous random variable having the standard beta distribution with parameters a = 3…

A:

Q: Let the joint probability distribution function of two random variables X and Y be given by S…

A: Given the joint probability distribution function of two random variables X and Y as…

Q: 4. Let X be a discrete random variable with E (X) = 3 and Var(X) = 0.5, What are the mean and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the probability distribution of (X+Y) given the bivariate distribution of (X,Y). X\Y 12 1 2 0.1…

A:

Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4…

A:

Q: 7. Let X be a continuous random variable with p.d.f. f (x) ax, 0sxs1 %3D = a 1sxs2 = -ax+3a, 2sxs3 =…

A: Given data   fx = ax                       0≤x≤1           = a                        1≤x≤2…

Q: A random variable, x, has p.d.f. f (x) given by f (x) = 1 а. always equals 1 b. 0 < x< 1 C. Not…

A: We know that,  If a random variable x having probability density function f(x) by the property of…

Q: The cumulative probability distribution for the random variable X 0, x<0 F(x)= 8 3x2 Osx<2 given as.…

A:

Q: If 'X' is a continuous random variable, then the expected value is given by a. JXP(X) O b. No value…

A: Given that  X is continuous random variable

Q: Conditional probability distribution Y given that X = 0.5 %D y f(x, y) -1.0 -2 1/3 -0.5 -1 1/6 0.5 1…

A:

Q: f(x) -a ey, x > 0, and 0 otherwise. 1 Given that i. Show that f(x) is a distribution fX is a random…

A:

Q: The values of x and their probabilities are listed below.  Calculate the intermediate products to…

A: Given that: x P(x) x * p(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.50 40 0.35…

Q: Биррose X1, Xz,. ,Xn be i.i.d. random variables with X; ~ exp(A). Find the distribution of E" X; and…

A:

Q: function: 3y2 ;-1< y< 1 f(y) = 0; Otherwise Compute the Variance of Y. That is, compute Var(Y).…

A: Given,f(y)=3y22; -1&lt;y&lt;10;  otherwise

Q: 9. A random variable X has the generating function 1 f(z) = (2-z)² Find: a. P(X = 0); b. E(X); c.…

A: The generating function of X is :

Q: a) The discrete probability distribution is given by 0 1 2m X P(X = x) m i. ii. iii. Calculate…

A: From the provided information, x 0 1 2 3 P (X = x) m 2m 3m 2m

Q: Given: f(x) = {1; 0<x<1 0; ew] Find the probability distribution function of Y = -2ln(x)…

A: The PDF of X is:f(x)=1;0&lt;x&lt;1Objective:PDF of Y=−2ln(x)Method Used:Transformation of Random…

Q: Random variables X and Y follow a joint distribution

A:

Q: (b)Let X be a random variable with p.d.f. fx) c *123 zero elsewhere. Find the constant c.

A: The logically random variable we mean a real number X associated with the outcomes of a random…

Q: If E denotes the expectation the variance of a (random variable X is denoted as (E(X))^2 - E(X

A: Given: If E be the expectations then varience of random variable x  Var(x)= (E(x))^2-E(x)  a); True…

Q: 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c,…

A: The provided information is as follows:The  is a random variable with the probability density…

Q: i need the answer quickly

A:

Q: Let probability distribution function of X be defined by x = 0,1, 2, 3. P(x) = %3D otherwise.

A: Given, the probability distribution function of X be defined by…

Q: C/ If x is a normally distributed for continuous random variable with "= N+5+G and o= N+3. Find…

A: GivenN=45G=3μ=N+5+G=45+5+3=53σ=N+3=45+3=48

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…

Q: Let X be a random variable having p.d.f. fx(x) = cx², -2 < x < 2. For the following parts, your…

A: Given density function: fx=cx2, -2&lt;x&lt;2 c value: ∫-22fxdx=1 from the total probability…

Q: The pdf of a random variable X is given by: f(x)=e¹ for x > 0 Please find P(x > 1). 0.6321 0.9816…

A: Let X be the random variable having probability density function is,  f(x) = e-x for x &gt;0 Then,…

Q: Q2. Let X be a random variable with (a) Find E(X) (b) Find M(t). (0.42 f(x)=0.46 0.12 if x=0 if x =…

A: The random variable X f(x)=0.42         If x=0       0.46          If x=1      0.12          If…

Q: The random variable A has range (0, 1), and p.d.I. given by f(x)=3(x-1)², 0<x< 1. (a) Explain why…

A: Solution: The probability density function of random variable X is  f(x)=3(x-1)2        for…

Q: If the time taken to repair a personal computer is a random variable X whose p.d. f is given by · ,0…

A:

Q: B/ Let Y denotes a random variable having a negative binomial distribution, with p=(2*G/10) . Find…

A: Negative binomial distribution is used to estimate the probability of number of trials required to…