Question 2: Let X and Y be 2 random variables with joint probability distribution given in the following table: f(x,y) 1 0.3 0.2 Y 4 0.1 0.4 Then f(Y = 3|X = 0) is equal to: a. 0 b. 0.5 c. 0.75 d. 1

Q: Question 3. Suppose that the random variable X is defined as X = 0.6X1 + 0.3X2 +0.1X3, where the…

A: Given: Where all three are independent x = 0, 1, 2, 3, 4, 5

Q: F. A random variable X has the probability distribution as follows: 1 4 1 P(x) 10 9. 10 33. Find b.…

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Q: tributIO Show that the column and row totals of Table 1 give the marginal of X alone and of Y alone.

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Q: If the random variable X and Y have the joint probability distribution f(x, y) = x+y, 0<x< 1,0 <y<1…

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Q: find the values of p and q.

A: HERE GIVEN, discrete probability distribution of x and E(X) = 4

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Q: Let the r.v. X assume the value 'r' with the probability law : P(X = r) = q-¹ p ; r = 1, 2, 3. Find…

A: The probability mass function of X is given as-

Q: The joint probability mass function of the random variables (X, Y) is given by the followin cable.…

A: We have given joint distribution of X and Y and we have to find the var(X+Y)

Q: Question B) If the joint pdf of the continuous random variables X and Y is: fxy(x, y) = XY for 0<x<2…

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Q: The probability distribution function of a discrete random varisble x which represents the mmber of…

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Q: Is the following a probability distribution. Function for discrete random variable? x 1 2 3 4 P(x…

A: XP(X)10.120.230.340.4

Q: Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X.…

A: f(x)=

Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: Be quick please

A: The joint probability distribution of X &amp; Y is given as:     X 0 1 2 Y 1 0.1 0.2 0.1 2…

Q: Given the following:   Probability function pb(s) a biased die:   pb(s) = {(1, 3/10), (2, 1/10)…

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Q: The probability generating function for a random variable X is given by: 1 + 2 10+20 + 1 4 8 P(X > 5…

A: Solution   Step 1: gx(z) = 18z2+12z10+14z20+18z25

Q: A discrete random variable X has the following probability distribution: x 1 2 3 4 P(X=x 2k 3k 4k…

A: Given: The value of x and P(X=x)

Q: (Question Two (2) a Construct probability distribution for the random experiment of the difference…

A: Since you have posted a question with multiple sub parts, according to our guidelines we can solve…

Q: Q2. Two safety inspectors inspect a new building and assign it a "safety score" of 1, 2, 3, or 4.…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…

Q: vo random variables X-(-1,0) and Y=(2,3) are equiprobable and independent. Determine the

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Q: QUESTION 2 Determine the value c so that each of the following the given function can serve as a…

A: Given that  Probability mass function of X f(x)=c(x2+4)  , x=0,1,2,3

Q: X1 + X1 + ...+Xn Find the characteristic function of the random variable Y =-

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Q: 10) Joint probability distribution of X and Y are given. Give E(Y). XIY 0 2 Pi -1 0.2 0.3 ? 2 0.4…

A: Given, XY  0  2 pi -1 0.2 0.3 0.5 2 0.4 0.1 0.5 qj 0.6 0.4 1.0

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is  x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16   0.02 0.02

Q: Subject: Your Month к хчу pcxing) other Find the marginal probability of Y P (Y) Date: X=1,2 153…

A: XY 1 2 Total 1 k 4 k 5 k 2 2 k 8 k 10 k 3 3 k 12 k 15 k Total 6 k 24 k 30 k we know…

Q: d) Are X and Y independent? e) Find E(X) and E(Y), Var(X) and Var(Y). f) Find the correlation…

A: The joint probability distribution is given as follows: 12310.10.10.1520.050.050.230.150.10.1

Q: Please show work. X and Y are two discrete random variables having the joint probability…

A: Cov(X,Y)=E(XY)-E(X)E(Y)corr(X,Y)=Cov(X,Y)V(X)V(Y)

Q: The probability distribution of random variable X, that represent the number of defects per 20…

A: Given: The number of defects and the probability values are, x 0 1 2 3 4 P(x) 0.39 0.32 C…

Q: wo discrete independent random variables X and Y are such that X can take values 2,3,5 and Y can…

A: It is given that Two variables X and Y are independent then P(X = x, Y = y) = P(X = x).P(Y = y)

Q: X and Y are two discrete random variables that are jointly distributed according to the following…

A: The joint probability distribution provided in the question is as follows : X→ Y↓ 0 20 50 5…

Q: The random variable X has probability distribution as shown below: 0 1 2 p(X = x) 0.16 0.48 0.36 The…

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Q: 1) Assume the following joint probability distribution: P(x,y) X 1 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1…

A: X and Y are independent if E(XY)= E(X)*E(Y)  We find these values and check the condition.   And…

Q: - Consider the density function f(x) = 2x, 0<x<1, f(x)=0 elsewhere then the cumulative distribution…

A: Solution

Q: 16. A study of freely forming groups in cafes throughout Europe examined the number of individuals…

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Q: Identify if the following are valid probability distributions for a discrete random variable X. a. 4…

A: We have given that  Probability distribution  for discrete.  Condition for probability distribution…