Suppose we roll 2 six-sided dice. Let X be their sum and Y be the larger value of the two. (a) (10 points) What is E[X]? (b) (10 points) What is E[Y]?

Q: Suppose f(x,y) = ry for 0<x<2, 0<y<2 then the mariginal probability distribution of X is 4

A: The marginal probability distribution formula of X is:

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

A:

Q: Let x and y be randomly chosen from inside the circle with r = 4. For selected numbers, x+y≥ 4 and…

A:

Q: Suppose for a random variable X that E(X) = 5 and Var(X) = 3. What is E((X + 3)2)? %3D

A:

Q: Suppose that one variable, x, is chosen randomly and uniformly from [0, 5], and another variable, y,…

A:

Q: There are two tests for a disease, one is rapid and the other is slow. Given that an individual is…

A: Answer:

Q: Suppose for a random variable X that E(X) = 5 and Var(X) = 3. What is E((X + 3)²)? Type your answer.…

A: By the properties of random variable, Expectation of constant is a constant. i.e., E(a)=a Variance…

Q: For lambda = 3.4, the probability P(x > 7) is: %3D O 0.9421 O 0.0231 O 0.0579 O 0.0348

A: From the given information we find the probability.

Q: Suppose we have a random variable Ywhere the probability function (or probability mass function) is…

A: Given probability mass function, f(y)=15!y!(15−y)!3y715−y1015…

Q: Assume that human body temperatures are normally distributed with a. A hospital uses 100.6"F as the…

A: Solution: Let X be the human body temperatures are normally distributed with mean 98.23 F and…

Q: 5A An ion channel can be in either open or closed state. If it is open, then it has probability 0.1…

A: It is given that if open then probability is 0.1 of closing and if closed then probability of…

Q: 2. The random variable X has the exponential distribution with mean value 1. The conditional…

A: 2. From the give information, The random variable X has the exponential distribution with mean value…

Q: Suppose you play a coin toss game in which you win​ $1 if a head appears and lose​ $1 if a tail…

A: Solution To win $1 if a head appears and loses $1 if a tail appears. That is +$1 for heads to appear…

Q: X is an exponential random variable with the population's mean (ux) = 52. %3D What is P(X < 48)?

A: Given data: The given value of the mean is μx=52. The expression for the probability when X&lt;48…

Q: What do the functions Y LY, Y look like? Are there any maximum or minimum probability at any…

A: By the functions Y1,1 , Y1,0 , Y1,-1. Y1,1=-38πsinθeiφ The probability density is:…

Q: Workers at a large toxic cleanup project are concerned that their white blood cell counts may have…

A: Given Information: Let x be a random variable that represents white blood cell count per cubic…

Q: WHAT ARE THE TWO ASSUMPTIONS TO BE ABLE TO USE THE T DESCRIPTION? a. We must assume that we are…

A: T-distribution is symmetric in nature.   Therefore, Option a and c are incorrect.

Q: If the correlation between X and Y is r = -0.61 and if the standard deviations of X and Y…

A:

Q: SohnCo has a division that manufactures steel for construction uses. Recently, they have had some…

A: Given: The most probable strength of steel was given by 24y-0.05   at y=0 and ϑ=24 Now,…

Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

A: Given:  X has distribution function as : F(X) = 0 if X&lt;1 = k(x-1)^4 if 1&lt;X&lt;3 = 1 if X &gt;3…

Q: A researcher wishes to try three different techniques to lower the blood pressure of individuals…

A: Given: Three groups, i.e, Medication, Exercise and Diet.α=0.05

Q: n+12i=1Xi ,show that T is a biased consistent estimator of a parent mean of N(u, o).

A:

Q: et X be a random variable which takes values in the interval ow that E(X)- a PIXI> a)

A: We are given,  X=Random variable which has the values between [-M, M] only. Hence, we have the…

Q: 9. Show that if t is a consistent estimator of e, then ť is a consistent estimator of 0°.

A:

Q: Why the probability P(X=x)=0, for a continuous variable,?

A: Given info: The probability P(X=x)=0, for a continuous variable

Q: A die is thrown. If E is the event "the number appearing is a multiple of 3" and F be the event "the…

A:

Q: A die is weighted so that the probability of a 1 is 0.2, the probability of a 2 is 0.2, the…

A: The minimum number that the die can take =1. Therefore if every time the die shows the minimum…

Q: Suppose the relationship between Y and X is given by: Y = 4 + 3.2*X + error  By how much does the…

A: Y = 4 + 3.2*X + error  Slope = 3.2 For every one unit increase in x, the predicted value of y…

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: Suppose that we want to show that Virgin Galactic is preferred to Blue Origin. Please formulate the…

A: Here use single proportion z test

Q: Suppose that X is a Normal random variable with E(X) = 1 and Var (X) = 1. Define Y =2X + 1. Find P(0…

A: Consider, EY=E2X+1=2EX+1∵EaX+b=aEX+b=2*1+1=3 VarY=Var2X+1=22*VarX∵VaraX+b=a2*VarX=4*1=4 SDY=VarY=4=2

Q: 3. A, -3 10 Az What is fe) dx in terms of the abova aieas -3

A: Area above the x axis is positive and below the x axis is negative.

Q: Roll a pair of fair six-sided dice, one red and one green. Let X be the value face on the green die…

A:

Q: A class contains 40 students. The probability of failing in one of the courses for each student is…

A: From the given information, There are 40 students. The probability of failing in one of the courses…

Q: (48) Let X = b(16,- find E(4– 3x) and distribution function.

A: Given, X~b(16,1/4) That is X follows binomial distribution with n=16 and p=1/4.

Q: What is the excluded value for y = -? X - 2

A:

Q: A researcher wishes to try three different techniques to lower the blood pressure of individuals…

A: Consider that, µ1, µ2, and µ3 define the mean blood pressure for medication, exercise and diet…

Q: SPA C No of customers Probability P(X) X-P(X) (X-H^2 (X-p2 P(X) (X)

A: Given: For spa C p(x=0)=0.37 N=30

Q: A university advertises that 90% of the graduates from their school of science find a job within one…

A: If the sample size is greater than 30 and the variables are independent. Also X is the number of…

Q: imagine you roll a single standard six-sided die twice. If F: The first roll is odd and S: The…

A: It is given that the event F denotes the first roll is odd and the event S denotes the second roll…

Q: The correlation coefficient O a. can be less than -1 b. is the same as the covariance C. cannot be…

A: We have to find the coreation coefficient.

Q: X is a random variable with the probability distribution f(X)= :X= 0,1,2. Then the mean of X is…

A: Given function is: f(X)=X2;X=0,1,2

Q: What is the expected value of the funcion g (X, Y) = (XY)²

A:

Q: dollars. In addition, suppose that after the value  has been observed , the 2022 team budget, say ,…

A: Given, Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is…

Q: H:1H2 H,: u,>H

A:

Q: For the random variables X,Y Cov(X,Y) = -0.9 if Z=3-X then what is Cov(Z,Y)=???

A: Given - Cov ( X , Y ) = -0.9 Z = 3-X

Q: Suppose we roll a six-sided die 10 times, and let X be the number of rolls where it the die at least…

A: The above problem follows Binomial Distribution with p= probability of success = 13, as to get at…

Q: Suppose Y Uniform(01,02) where the parameters 01 and 02 take the values 1 and 5 respectively.…

A: