The pdf of a random variable X is given by: f(x) = 8x for 0≤x≤ 0.5 Please find out the expectation of X. 1/2 1/5 1/3 1/4

Q: Let X be a continuous random variable with mean μ and standard deviation σ. If X is transformed to Y…

A:

Q: Let X be a continuous random variable with PDF 2x 0 < x < 1 fx(x) = {0 otherwise Find the expected…

A:

Q: fx(x) = {{ √ x/2 01 Let Y be the output of the "clipper": Find: a) The probability P[Y = 0.5] b) The…

A:

Q: The pdf of a random variable X is given by: f(x) = C for 5 ≤ x ≤ 10 Please decide the value of C in…

A: Given that     The pdf of a random variable X is given by  f(x) = C for 5 ≤ x ≤ 10 Also we know that…

Q: X is a continuous random variable taking values between 0 and 2. If F(1.5) = 0.70 and P(X<1) = 0.20,…

A:

Q: If the pdf of a random variable X is f(x) = {0,0 0.15-0.15(x-0.5), x ≥ 0.5 otherwise Find the moment…

A:

Q: Let X be a random variable with expectation E(X)=10 and variance var(X)=5. Which lower bound does…

A: Let 'X' be the any non-negative random variable having mean E(X) and Variance Var(X) then…

Q: (i) the maximum value of p.d.f. (ii) expectation of X, E(X) (iii) variance of X.

A:

Q: b. Find E[X(X – 1)] for Poisson random variable. Use the result to find the variance of X.

A:

Q: The diameter of a round rock in a bucket, can be messured in mm and considered a random variable X…

A: We want find  Mean= E(x) , variance = var(x)

Q: The random variable x follows a uniform probability distribution in the interval (0,1); the…

A: We know that  The pdf of Uniform distribution is  f(x) = { 1/(b-a) ,   a&lt;x&lt;b                0.…

Q: Let X be a geometric distribution function with px(n) = p(1 - p)n-¹. Find the expected value and the…

A: P(X=x)=p(1−p)x−1;x=1,2,3,...

Q: Let x be a Poisson random variable with mean = 6. Find the probabilities for x using the Poisson…

A: The variable x be a Poisson random variable with mean .

Q: Let X be a random variable having an exponential distribution with parameter equal to 3.3. Find the…

A: given data  exponential distribution λ = 3.3 P(x does not fall in interval 0.3 to 0.4) = ?

Q: Then find E[X], E[X2], E[2X+5], E[(X+1)²].

A: Solution - Given that X be a uniform random variable with pdf  f(x)=0.10   -5&lt;=X&lt;=5 Find E(X)…

Q: (Y-1)². Use one decimal place accuracy.

A: Given that  Y ~ Uniform (1 , 11)

Q: The PDF of the random variable XX is given below (1st figure). Suppose you have a random variable Y,…

A:

Q: Let X be a random variable with E[X]=2, Var(X)= 4. Compute the expectation and variance of 3– 2X .

A: Solution-: Given: E(X)=2, Var(X)=4 Our aim to find, (a) E(3-2X)=? and  (b) Var(3-2X)=?

Q: Find the standard deviation of a discrete random variable X which satisfies P(X=1)=0.1,P(X=-1)=0.6,…

A: Given: A discrete random variable X satisfies the following:     P(X=1)=0.1P(X=-1)=0.6    P(X=2)=0.3

Q: f X is a random variable such that: E(X) = 6.2 and E(X2) = 62.5, then what is the standard deviation…

A: Given: X is a random variable. E(X)=6.2 E(X2)=62.5

Q: et X be a random variable with the following probability distribution. Valuex of X P(X=x) -30 -20…

A: let X be a random variable with the following probability distribution.

Q: Suppose X is a uniform random variable on the interval (1, 3), and E(X) = 2. Find the probability…

A: X follows uniform (1, 3). That is, fx=13-1=12VX=b-a212SDX=b-a12=3-112=212=13

Q: X is the number of successes in 10 independent Bernoulli trials. The variance of X is equal to 1/4…

A:

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable. P(X =…

Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

Q: Let X∼Uniform(0,1) distribution. Find the PDF of Y= 3√X and derive the expected value and the…

A:

Q: Let the random variable X be defined on the support set (1,2) with pdf fX(x) = (4/15)x3.  Find…

A: It is given that X is a random variable on set (1,2) with pdf f(x).Assume that given random variable…

Q: Let X denote a random variable having a distribution. If F(x)=ax³ where 0≤x≤(+3). Find f(x) after…

A:

Q: Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random…

A: Given,F(X)=1-e-x3   ;  x≥0

Q: The probability function of a continuous random variable, X, is given by the equation: fx(x) =…

A:

Q: X is the number of successes in 10 independent Bernoulli trials. The variance of X is equal to 3/4…

A: Given that variance of X is equal to 3/4 of expectation of X