Solve. Let f(x)= kx for x 2,3,4. Find k so that the function of f (x) satisfies the two properties of a probability mass function.

Q: What is the value if the constant c for p(x) to qualify as a probability mass function?…

A: Solution: From the given information, the probability mass function of X is

Q: Let X1 ~U(0, 2) and X2 has the probability density function fx,("2) 0 < x2 < 2. 2 Assuming that X1…

A: From the given information, PDF's of x1 and x2 are as given below: fx1=12,x1∈0,2fx2=x22,x2∈0,2…

Q: Is f(x) a legitimate probability mass function? (1 – p)"='p =p+ (1 – p)p + (1 – p)²p+ • …· ² 1 x=1

A: We know that to be a legitimate mass function we must have 0≤f(x)≤1 for all x.  And the sum of all…

Q: Determine k so thatf(x, y) = kx(x − y) for 0 &lt; x &lt; 1, −x &lt; y &lt; x0 elsewherecan serve as…

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Q: Let 1 1 f(x) = Ix-31, 1≤x≤ 5. 4 Deduce that the function above is a probability density function of…

A: Solution

Q: Find Cov(X,Y) and Py for the joint probability mass function f given by the table below. 1 2. -16216…

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Q: Let X and Y denote the proportions of two different chemicals found in a sample mixture of chemicals…

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Q: 3. Suppose that the probability density function of X is 3x², 0, 0 <x<1 elsewhere f (x) = Determine…

A: Given:X Probability density function of  fx=3x2,0&lt;x&lt;10,elsewhere

Q: 2) Suppose that, the joint probability mass function of X and Y, is given by P(1,1) = 0.2, P(1,2) =…

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Q: Show that the given formula is a probability mass function. 7. P(x = x){3° x = 1,2 otherwise 8. P(X…

A: From the provided information, The formula of probability mass function is as follow:

Q: Suppose X has the probability mass function p (1) = 3, p (2) = ;, and p(3) = . Then E (2*) is equal…

A: Given,P(1)=13P(2)=12P(3)=16

Q: The following function is probability mass function. x-2 -1 0 12 F(x) 1/6 1/6 2/6 1/6 1/6 Determine…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: : Construct the table representing the Probability Mass Function of P(X = x). %3D x 1, 2,4 P(X =…

A: given ; P(X=x)=15x=1,2,425x=3 0otherwise

Q: let X and Y have the joint probability density function f(x,y)= 4 ax+y) 0<x <1,0<y<2 otherwise then…

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Q: 3. Suppose that the probability density function of x is f(x) = {°0," (3x?, 0<x < 11 0, elsewhere)…

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Q: Calculate the probability of finding the particle within the finite wall of the box when the…

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Q: If X has the probability density f(x) = { 0 x5). Select one: O a. 0.03 O b. 0.04 O c. 0.07 d. 0.02

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Q: Show that each of the following is a probability mass function 1. x, ifx €{1, 2} P(X = x)={3 0, %3D…

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: Let f(x)=k(4x -x²) if 03. (a) For what value of k is f(x) a probability density function? (b) For…

A: Given that  Probability density functions of X  f(x)=k(4x-x2)  , 0&lt;x&lt;3 f(x)=0     , x&lt;0 ,…

Q: Suppose that X and Y have the joint probability mass function x+y P(X = x, Y = y) x = 1, 2, 3 and y…

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Q: Suppose that the random variables X,Y, and Z have the joint probability density function f(x,y,z) =…

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Q: The following is a joint probability mass function. y fxy(x,y) 1 1/4 1.5 2 1/8 1.5 3 1/4 2.5 4 1/4 3…

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Q: ) IF X HAS THE PROBABILITY DENSITY -3x ке for X>O f(x) ekewhere, FIND K AND PCO.5< x<).

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Q: Let X, Y, and Z have the joint probability density function Skxy²z, 01/2, 1<Z<2).

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Q: Suppose X has the following probability mass function p(0) = .2, p(1) = .5, p(2) = .3 %3D Calculate…

A: Given that  Probability mass function.  X 0 1 2 P(x) 0.2 0.5 0.3 E(x2 ) = ∑X2.p(x)

Q: 9 Find the C.V. of the probability mass function below. * 19 20 21 22 23 P(X) 0.2 0.2 0.3 0.2 0.1…

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Q: Example: Suppose that p(x, y), the joint probability mass function of X and Y, is given by p(0,0) =…

A: Solution : Tabular form of joint probability mass function of X and Y is, X \ Y 0 1 0 0.25 0.25…

Q: Let p(x) = cx^2 for the integers 1, 2, and 3 and 0 otherwise. What value must c be in order for p(x)…

A: Solution: From the given information, the probability mass function of X is

Q: 3. Suppose that the probability density function of X is f (x) = 3x², 0<x<1 elsewhere %3D 0,…

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

Q: Is f(x) a legitimate probability mass function? 1- p)*-1p = p+(1 – p)p + (1 – p)°p +. 1 %3D x=1

A: We know that to be a legitimate mass function we must have 0≤f(x)≤1 for all x.  And the sum of all…

Q: Q1. Determine the value of c and the covariance and correlation for the joint probability mass…

A: Solution:  The joint probability mass function is, fXY = c ( x+y)      ; x=1,2,3 and y =1,2,3…

Q: Let X have probability mass function f(x)=x/6, x=1,2,3. Find E(Y) when Y=X2

A: For a discrete random variable X   E(X) = ∑xX f(x)E(X2) = ∑xX2 f(x)   Here, Let X have a probability…

Q: If a mass function is given by Ax x = 1, 2 ..., 50 P(x) A(100– x), x = 51, 52.., 100 otherwise (i)…

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Q: Suppose that X is the number of customers in a fast food chain daily. P(X=x) is the probability mass…

A: Part 1:The probability that there will be 5 customers a day is given by: PX=5=0 Part 2: The…

Q: verify that the following function is probability mass functions, and determine the requested prob-…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 1. Let f(x) = kx for x = 2, 3, 4. Find k so that the function of f(x) satisfies the two properties…

A: Since you have posted multiple questions, I have answered only one f(x)=kx     for x=2,3,40,…

Q: x2 + x P (x) х 3 1, 2, 3, 4 x = 40

A: Solution: From the given information, the probability mass function of x is

Q: Which of the following should be the value of c so that p(x) qualifies as a probability mass…

A: In question, We have given a pmf p(x) with a constant c of a random variable X. Then we'll find the…

Q: Let X have the density function 2x /k2 if O<x <k otherwise then value of k is variance of X equal to…

A: We have to solve given problem:

Q: Find the value of k for the probability mass function F(x) = k () (4 * ) for x = 0,1,2.

A: The given probability mass function is, Substitute the values of x in given mass function as…

Q: If X is a uniform random variable in (-2 , 4) and Y = X² – 4, the probability density function g(y)…

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Q: (b) The conditional probability density function of Y, given that X=x for some x>0, takes the…

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Q: Suppose X and Y have joint probability density function f(x,y,z)= a[x²+xyz),0sxs1,-1sys1,1szs2…

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Q: b) Suppose that X₁ and X₂ have the joint probability density function defined as f(x₁, x₂) = {Wx1x2,…

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Q: let X and Y have the joint probability density function -(2x+y) f(x,y)={ 4 0<x<1,0<y<2 otherwise…

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Q: The probability mass function of X is for x = } or 1 2 f(x) = elsewhere Find E[(X – µ)³].

A: The mean is defined as μ = Σx.f(x)

Q: Suppose that p(r, y), the joint probability mass function of X and Y, is given by p(1, 1) = 0.5,…

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Q: P (X = x) = c (4)*. x = 1,2, 3, ...

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Q: B. Consider the probability density function f(x) = kxe³x 1<x<2 %3D = 0 otherwise Find the…

A: Given, fx=kxe3x1≤x≤20otherwise