The probability function of a v.a.d X is -2 -1 1 2 fx (x) 1/8 2/8 2/8 2/8 1/8 P(X < 2) = P(X > -2) = P(-1< X< 1) =

Q: Consider the probability distribution function of X and Y as shown. Find P(X>Y) f(x, y) = 12 (2² +…

A: Hi! Thank you for posting the question. Since you have posted multiple questions, we are answering…

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

A: We want to find the value of c

Q: Let X be a random variable with probability distribution as shown below: -1<x<2 f (x)={3 and…

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Q: Let the joint probability function for Y, and Y2 be Y1 Y2 0 0 3/202/200/20 3 6/20 0 9/20 3 E[ ECY I…

A:

Q: for a continuous probability distribution 0 < x < 10, what is P(x=7)

A: In general, the probability at any particular point is zero for continuous probability…

Q: The cumulative distribution function F(x) of a discrete random variable X is given by F(0) = .30,…

A: Given that F(0) = 0.30 and F(1) = 0.70So, the value of the probability mass function p(x) at x = 1…

Q: The discrete random variable X has the probability function, where k is consta x= 2,4,6,8 kx f(x) =…

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Q: Let X be a random variable with distribution function F(x) = 1-e*,x > 0, then the p.d.f of X is

A: Here given cumulative distribution function of x

Q: Is P(X = x) = 1+1 ; x = 0,1,2,3,…; a > 0 1+2 a discrete probability function? Why or why not?

A: We need to use the concept of probability distributions.

Q: The joint probability function for X and Yis given below. E(2X + 3Y) is 1. 0.25 0.35 0.23 0.17

A: We have given that the joint probability distribution of X and Y.

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

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Q: If the probability density function of a continuous random variable X is f(x) = ⎧ .5x     0 ≤ x ≤ 2…

A: The probability density function of a continuous random variable X is,

Q: Consider the three functions I. f(x)= {1-x if 0 < x < 2 {0 otherwise II. f(x)= {1+x if 0 < x < 2 {0…

A: f(x) can be probability distribution function if integration|xf(x)dx = 1 It means the total…

Q: f(x), a continuous probability function, is equal to 1/20 , and the function is restricted to 3 ≤ x…

A: Given,f(x)=120    ;   3≤x≤23

Q: *The probability function of X random variable is given as, f(x) = cx² , Dx ={-2,2,3} 1.c =? 2. P(0…

A: To find the value of c we will use the fact that the summation of f(x) over entire range is always…

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: Is 1 ;s= 0,1,2,.… P(S = s) = fs(s) = {1+ 1[1 + 1 %3D %3D 0; e.w. a discrete probability function?…

A: For the discrete probability function ,  ∫-∞∞f(x)dx=1…

Q: The probability distribution function of the discrete random variable X is x -1 0 2 5 P(X=x) 0.10…

A: Given:   x p(x) -1 0.1 0 0.5 2 0.3 5 0.1 total 1

Q: Assume that the joint probability function for X and Y is fxy (x, y) = 4 x 10-exp(-0.004x - 0.002y)…

A: From the given information, The joint probability function for X and Y is,…

Q: 2. Consider the probability distribution on the next slide and prove that:. a. E (; x) = ¿E(X) b. V…

A: Joint Probability Distribution: Let X and Y be two discreate random variables defined over the…

Q: Find the joint probability function of (X,Y) where

A: Provided information is, two cards are drawn at random from a box which has 5 cards numbered 1, 2,…

Q: (a): Find the probability distribution function fy(x) for the random variable X whose distribution…

A: We have to find probability distribution function

Q: Find the constant C such that p(x) is a probability function. Compute the probability P(1.5≤X ≤2).

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Q: If you have the continuous random variable x with probability function O<x<1 2 f(k) = 2 <x<5 then…

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Q: A random variable x has the following discrete probability distribution:    x f(x) 0 0.13 1…

A: Given discrete probability distribution table: x f(x) 0 0.13 1 0.17 2 0.22…

Q: Let X and Y be two events having a joint probability function given as 3 (x² + y²), 0 0.75). What

A: Given joint probability function is: fx,y=32x2+y20≤x,y≤10elsewhere A). PX≤12, Y≤12 PX≤12,…

Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A: The joint probability distribution table can also be represented as:   The marginal distribution of…

Q: Is 1 s = 0,1,2,…. ... P(S = s) = fs(s) = {1+1[1 + 1 %3D %3D 0; e.w. a discrete probability function?…

A: Since the domain (s) is defined pointwise rather than as an interval

Q: Let the probability distribution function of X be defined as follows. (0.6+x x =0,1,2,3 10 S(x)={…

A: Here, we have

Q: Let X be a continuous random variable with probability distribution as shown below: (x*(2x +), if0 <…

A:

Q: The following is a probability distribution function for X, with range 0, 1, 2, P(X = 0) = 0.3 P(X =…

A: The probability distribution is given by X 0 1 2 3 P(x) 0.3 0.3 0.2 0.2

Q: 2. Let the joint probability function of X and Y be given by (x+ x) if x 0, 1, 2 and y = 1, 2 p(x,…

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Q: f(x), a continuous probability function, is equal to 1/12, and the function is restricted to 0<x<12.…

A: Given that  f(x) = 1/12 for 0 &lt; x &lt;12

Q: If x is a continuous random variable, then the total area under the probability distribution f(x)…

A: For a continuous probability distribution, a curve called a probability density function or pdf…

Q: Theorem 3-14. For a fixed B with P( B) > 0, P (A \ B) is probability function.

A:

Q: For discrete probability distribution x 0 1 2 3 4 5 6 7 f 0 k 2k 2k 3k k^2 2k^2 7k^2+k The mean…

A: The value of k is obtained below: Thus, the value of k is 1/10.

Q: The probability density function of a discrete random variable X is given by the following table:…

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

Q: If the joint probability is given by: f(x,y) - (3x + 2y)/40, for x = 0, 1, 2, 3; y = 0, 1, 2, 3

A: Given information: The joint probability mass function is obtained as given below: f(x, y) = (3x +…

Q: Sketch the graph of the continuous probability function and find its CDF f(x) = ; - 치x-3| 1 1 |x –…

A: Given: f(x)=12-14x-3              1≤x≤5

Q: Let X be the random variable with the cumulative probability distribution: 0 x < 0 F(x) = {₁ - e -²x…

A:

Q: f(x), a continuous probability function, is equal to 1/12, and the function is restricted to 0 ≤ x ≤…

A:

Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A:

Q: a) Find the value of the constant c

A: The joint pdf is given by f(x,y) = c(2x+y)

Q: Is 1 P(S = s) = fs(s) = {1+ 11+ a] ; s= 0,1 0; е. w a discrete probability function? Why or why not?

A: Any function is  a  probability distribution function if:

Q: Let X and Y be random variables whose joint probability distribution function is given by f(x, y) =…

A: The question is about to find joint m.g.f Given : f ( x, y ) = e-( x + y )  , x &gt; 0 , y &gt; 0…

Q: Suppose that X and Y have the following joint probability function: f(x, y) 4 0.15 0.10 0.20 0.10 1…

A: We want to find the expected value of E(XY2) and E(X) and E(Y)

Q: If F(x) is cumulative distrbution function of a continuous random variable X, the probability…

A: Thanks for the question :)And your upvote will be really appreciable ;)