Determine the value of k so that the function f(x)= k(x² + 4) may be used for x = 0,1,2,3, there is a valid probability distribution of the discrete random variable x. a. 1/10; b. 1/15; c. 1/25; and d. 1/30

Q: Let X be a Poisson random variable such that P(X=1)=P(X=2). Compute P(X=0). l'information est…

A: We have given that,  X be a Poisson random variable with,  P(X=1) = P(X= 2)  Then,  We will find…

Q: . Determine the value c so that each of the following functions can serve as probability…

A: Find the value of constant value (c)

Q: The discrete random variable X has the probability mass function x = 2,4,6 k(x — 2) х — 8 kx { P(X =…

A: Given: P(X=x)=kx,                    x=2,4,6k(x-2)             x=8

Q: C. Find the mean of X of the probability distribution of the discrete random variable X. 3-x 3 f(x)…

A: Given that ; A discrete  probability mass function (pmf) is given here.  By comparing the pmf  of…

Q: The probability distribution of the discrete random variable X is: f(X) = k2³-x , for x = 4,5, 6, 7…

A: Hello! As you have posted 2 different questions, we are answering the first question 1  with 3…

Q: Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let X be a discrete random variable with probability function f(x) = kx for x = 0,2,5,7. The value…

A:

Q: Let X₁, X₂ and X3 be mutually independent random variables with Poisson distributions having means…

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

Q: 9. Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution…

A:

Q: Determine f(2)  using the indicated probability distribution of the discrete random variable X…

A:

Q: Consider the discrete random variable X1, with probability pi X = with probability p2 X2, with…

A:

Q: Q1) Determine the value c so that each of the following functions can serve as a probability…

A: Correct answer c= 0.014493

Q: Let X be a Poisson random variable such that 2 P(Xe 4P(X 1) +5P(X = 2) %3D 2020/03/om (a) Find its…

A: Given that    We have to find  a..We have to find the mean and variance of X  b .. Probability that…

Q: b) Let X be the random variable with the cumulative probability distribution: 0, x < 0 W F(x) = kx²,…

A:

Q: Determine f(2) so that the given function can serve as a probability distribution of the discrete…

A:

Q: Find the variance and standard deviation of a continuous random variable with the given p.d.f. The…

A:

Q: Understand the probability distribution of a random variable, based on a real-world situation, and…

A: Given :  X P(X) 200 0.6 500 0  Expected value ,E(X) = μ=∑X.P(X)…

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

A:

Q: Let X1, X2,..., Xn ~ N(μ, 0²) independent random variables. Find the distribution X+X2+…+Xn X= = n…

A: Given Xi~N(μ, σ2) be the iid and i=1,2,...,n  Result: X and Y are independent then E(XY)=E(X)E(Y)…

Q: The probability distribution function of a discrete random variable X is x2 55 ,x = 1,2,3,4,5 0,…

A: Find  Var(3X+2)=? 5E(2X-1)=? E(2X+1)2=?

Q: The cumulative distribution function for a random variable X is given by: 1-e for x20 F(x)=-…

A: Given the cumulative distribution function for a random variable X as FX=1-e-2x           for   x⩾00…

Q: For a continuous random variable X. we can compute the probability of P (a < X<b) by O Fibl-Fla) O…

A: GivenP(a&lt;X≤b)

Q: Let X1, X2 denote a random sample from a distribution with p.d.f f(x) = {4 ,x = 1,2,3, 4 0) е. W…

A: Here we will use the basic definition of probability. Probability = favorable events/total number of…

Q: A discrete random variable X has the probability distribution as follows: *(x)= 5-x ;x%- 1,2,3,4 10…

A:

Q: 1. Find the value of c to make f (x) = x = 2, 3, 4 into a valid probability distribution. Enter…

A: Given, f(x)=cx2x-1                   x=2,3,4

Q: Let X be a discrete random variable with PMF Px(x)=ca²ª, x=1,2,... where 0 < a < 1. (a) Write down…

A:

Q: Let X ~ U(a,b). Use the definition of the mean of a continuous random variable to show that μX =…

A: The mean of the uniform continuous random variable can be calculated as:

Q: Find the Mean of f(x), where f(x) = 6X+6. The probability distribution of a random variable X ; if X…

A: Mean is an average value around which the whole data set is concentrated.…

Q: Let X₁ and X₂ be independent exponential random variables, with parameters X₁ and 2, respectively.…

A: Given : X1 and X2 are two independent exponential random variables with parameter lambda1 and…

Q: Determine the value of k so that the function F(X) = k(x² + 4) can be a valid probability…

A:

Q: Let X be a random variable that assumes values-1 and 1 with probability 2/3 and 1/3 respectively. If…

A: The probability function of X is given by X -1 1 P(x) 2/3 1/3

Q: Let X be the discrete random variable with the probability function f (x) = kx³ + 0.15 %3D for x =…

A:

Q: The probability mass function of a random variable X is given by f(x) = cx2 for x = 3,4,5. Compute…

A: 4) Given that the probability mass function of a random variable X is, f(x)=cx2,x=3,4,5 Consider,…

Q: Let Xi, i = 1,2,... be independent and identically distributed Bernoulli(p) random variables. Define…

A: Bernoulli distribution: A random variable is said to have a Bernoulli distribution with parameter p…

Q: Let X be a random variable with p.d.f. 3e-3x f(x) = { 0 <x<00 , find E(x) O.w

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Let X1, X2, X3 form a random sample from U(0,1). Find a- The distribution of the second order…

A:

Q: Let X be an exponential random variable with standard deviation σ. Find P(|X − E(X)| > kσ ) for k =…

A: Let X be the random variable distributed exponentially with parameter λ.   Since the standard…

Q: b) Let X be the random variable with the cumulative probability distribution: 0 x < 0 F(x) = {kx²…

A:

Q: 1. Find the value of c to make f (x) = , x = 2, 3, 4 into a valid probability distribution. Enter…

A: The probability mass function of a random variable is defined on the range of the random variable,…

Q: d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X= 2).

A:

Q: Let X be a discrete random variable with probability function f(x) = kx for x = 1,2,3,4. The value…

A:

Q: 1. Find the mean of X of the probability distribution of the discrete random variable X. 3-= 3 f(x)…

A: The question is about to find mean of the discrete prob. dist. Given : f ( x ) = 3x  14x 343-x  , x…

Q: Define the random variable X as the proportion of voters in a certain county that approve of a ew…

A:

Q: The is a function given by the probability that the random variable X is less than or equal to x,…

A: We have to determine the function which gives probability that X is less than or equal to x.

Q: Determine the value of k so that the function f(x) = k(x< + 4) can be a valid probability…

A: Given ,  The probability distribution of the discrete random variable X is given by,  f(x) = k(x2+4)…

Q: Determine the value e so that each of the following functions can serve as probability distributions…

A: A function is said to be valid probability diatribution if f(x) ≥ 0 and ∑f(x) = 1

Q: The discrete random variable X has the probability function kx, P(X = x) = }k(x – 2), 0, x = 2,4, 6…

A: Given: The probability function is, PX=x=kx,x=2,4,6k(x-2),x=80otherwise The objective is, To prove…

Q: Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution function…

A:

Q: Let X be a discrete random variable with PGF P.(s) = (*1)". a. Find the probability distribution of…

A: