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: 1. The random variable X has probability distribution. 1 2 3 4 P(X=x) 0.10 0.20 0.30 Given E(x)=3.5.…

A:

Q: 4, ii. a probability distribution function m(x) for a discrete random variable X such that a…

A: We have to find PMF of a discrete random variable X with mean and standard deviation such that

Q: 3. Suppose that the joint denstiy function of X and Y random variables is (2x+3y S(x, y) = { 23 1<x<…

A:

Q: Q1. A box is to be constructed so that its height is five inches and its base is Y inches by Y…

A: I solved exactly first question because of bartleby policy if you want more please uplode…

Q: Let X and Y be independent exponential random variables, both with mean β = 2. Find (and show your…

A:

Q: Suppose X is a random variable with normal distribution. E(X)=1 and Var(X)=4 Suppose P(X<k)=0.9773…

A: The random variable X follows normal distribution with mean 1 and variance 4. Then the standard…

Q: Give the marginal probability of (g) * Y = response time (Nearest second) X = number of Bars of…

A: marginal probability of  (g ) =?

Q: The distribution function of the random variable Y is given 9. 1 y2 0; y 2 3 - Fy (y) = e.w.

A: To find P(Y≤5) and P(Y&gt;8) by the distribution function.

Q: 2. Let X be a random variable with E[X] = 15 and Var[X] = 10. Suppose Y = 2X – 7, Use the properties…

A: Given,E(X)=15Var(X)=10and Y=2X-7

Q: The random váriáble X has the following pdf: y-1/2 1 x/2 X > 0 fr (x)={ 8 otherwise The random…

A:

Q: 1. The random variable X has probability distribution. X 1 3 5 7 9. P(X=x) 0.2 0.2 0.15 Given E(x)=…

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: 2.2. An independent random of sample size 9 is taken from ux = 0²x= 3. A random sample size 25 is…

A:

Q: The random variable X has a pdf f(x) = 5x 0≤x≤0.6325. Find P(X≤ 0.4) 0.333 0.632 0.486 O 0.413 0.400…

A: pdf of x : f(x) = 5x  ; 0≤x≤0.6325   we have to find P(x≤0.4) = ?

Q: Let X denote the number of VCRS sold during a random week by a certain store. The probability…

A: Given, xf(x)00.616410.095620.035430.046140.2065Y = 4X+2

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: P(x) 0.1 0.3 0.2 0.3 0.1 Find (?(?≥1) Find the expected value (mean) of ?.

A:

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: A continous random variable x has p.d.f.,then a. f(x)>=1 b. f(x)>==0 C. d. f(x) >:0 0=<lt; f(x)=<1

A: It is given that f(x) is a probability density function (pdf) of a random variable X.

Q: Determine the probability of Y.

A:

Q: A random variable X has the cumulative distribution function. Calculate the Expected Value of X…

A: Answer: - Given, the CDF of X is                 F(x)   x2-2x+221≤x&lt;21x≥2                    Find…

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: The random variable X has probability distribution. 2 4 P(X-x) 0.2 0.15 0.25 Given E(x)-3.5. Find a.…

A:

Q: 1. (14 points) A small airplane has 6 passenger seats. Let X be the number of occupied seats for a…

A: 0 0.08 0 0 0 1 0.12 0.12 1 0.12 2 0.15 0.3 4 0.6 3 0.15 0.45 9 1.35 4 0.20 0.8 16 3.2 5…

Q: Parametric Inferential Statistics 6. Let X - Geom(p-0.7). Find the probabilities that X is within 2…

A: We want to find the probability  P(μ-2σ&lt;X&lt;μ+2σ)= ?  P((μ-3σ&lt;X&lt;μ+ 3σ)= ?  P(X=x)=pq^x ;…

Q: 1.Let the PDF of X be given by F(x)=0.25exp(-0.25x),x>0.Show that E(x)=4 and var(x)=16. 2.Given…

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

Q: The random variable X, representing the number of errors per 100 lines of software code, has…

A: Given that,x23456f(x)0.40.250.30.010.04we need to find the value of variance by the given formula,

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: Given X and Y are two events. LetP(M) = 0.49, P(N) = 0.44, P(MN) = 0.17 Find the value of…

A: M,N are two events.P(M)=0.49P(N)=0.44P()= 0.17we need to find P(M/N')

Q: Joint probability distribution: 1 1 2 4 y 3 4 5 6 fxy(x,y) 1/8 1/4 1/2 1/8 Oy or the covariance-…

A: The given joint probability table can be represented as   X ↓    Y→ 3 4 5 6 fX(x) 1 1/8 1/4 0 0…

Q: Y has a distribution function (0, ys0, 24 F(y) = 0 <y< 6, 6 sy< 12, 144 (1, y 2 12. Find the mean…

A:

Q: 1 1/6 2 3 4 5 6 1/6 1/6 1/6 1/6 1/6 e expected value of X + Y - E(X+Y) and the -iance of X+Y-…

A: Solution

Q: Find the standard deviation. P(x) x*P(x) (x - H)°P(x) 0.1 2(0.1) = 0.2 4 0.3 4(0.3) = 1.2 6 0.4…

A: Given probability distribution of x. We need to find standard deviation.