) Let X and Y be two discrete random variables. Their joint probability mass function is as follow (picture) Find the probabilities (i) P(Y=0)  (ii) P(X=1|Y=0) Give answer as a fraction, or as a decimal number correct in three decimal places.

Q: a- find the value (a) so that the following function can satisfy a probability distribution function…

A: We need to find the value of a so that given function satisfies conditions of a probability…

Q: The probability of event A, given that event B has occurred, can be found using Bayes’s Theorem. Use…

A: Given that, P(A) = 0.35 , P(A') = 0.65, P(B | A) = 0.1 andP(B | A') = 0.7

Q: 1. Use the joint probability below to calculate Var(X|Y=y1) [Make sure to show your equations and…

A: Here the joint probability mass function are given and we calculate the marginal probability mass…

Q: TRY to generalize it for any finite number of independent exponential random variable S. Let Xk -…

A:

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

A:

Q: (a) f(x) = c(x² + 6), for x = 0, 1, 2, 3 5 3 - (:) ( 2² X (b) f(x) = c 3-x for x = 0, 1, 2

A: It is given that a probability distribution of the discrete random variable X.

Q: Suppose that X and Y are independent random variables having the joint probability distribution:…

A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

Q: Let X be a binomial random variable with mean u = 2.2 and %3D variance o = 1,76, find %3D a) Write…

A:

Q: If the joint probability distribution of X1 and X2 isgiven by f(x1, x2) = x1x236for x1 = 1, 2, 3 and…

A:

Q: Find the variance of probability function 1 2 4 P(X) 0,25 0,15 0,10 0,25 0,25 21 - O A) 6,80 O B)…

A: Here, X P(X) X.P(X) X2 X2.P(X) 0 0.25 0 0 0 1 0.15 0.15 1 0.15 2 0.1 0.2 4 0.4 3 0.25…

Q: Let X be a random variable that takes values -2, -1, 0, 1, 2; each with probability 1/5. Let Y = X?.…

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

Q: For each characteristic, decide whether the random variable is continuous or discrete. (a) The…

A: The question is about random variables.Introduction :Discrete random variable :A random variable…

Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

Q: Let X be a binomial random variable with mean u = 3.6 and %3D variance o? 2.52, find %3D

A: Givenmean(μ)=3.6variance(σ2)=2.52

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

A: Given that there are two random variables. X=(-1, 0) and Y=(2, 3). Both equiprobable. That is,…

Q: The variable smokes is a binary variable equal to one if a person smokes, and zero otherwise. Using…

A: (i) No, there are not any important differences between the two sets of standard errors which are…

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: Show that there are no values of c such that f(x) = cx can serve as the values of the probability…

A:

Q: QI. An engineer or scientist is measuring the output of a pin of an IC. It turns out that the…

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

Q: k is a probability distribution 4* Given that p(x) = for a random variable X that can take on the…

A: a) Total probability is always 1. Using that we…

Q: Find k if the joint probability distribution of X, Y, andZ is given by f(x, y, z) = kxyzfor x = 1,…

A: The joint probability density function is given as f(x,y,z)=kxyz For x=1,2 ;y=1,2,3 ,z=1,2. Compute…

Q: Let X1 and X2 be discrete random variables with joint probability distribution x1 = 1, 2; x2 = 1, 2,…

A:

Q: TABLE 13-6 Let X and Y be two random variables each X -1 ! luking three values -1, 0 and 1, and…

A:

Q: If P(X)=X/6, what are the possible values of X for it to be a probability distribution?   a.…

A: For a probability distribution the total probability must be 1.    For a. 0,2,3 the total…

Q: as an order pair, (R, B) where R and B are numbers from the red and ly. Let X be a random variable…

A:

Q: In the transmission of digital information the probability that a bit has a high high moderate ,…

A: Introduction to multinomial distribution: Consider a random experiment involving n independent…

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: let x be a discrete random variable with probability function p(x)= cx/20 for x = 2,3,4,5,6,8,12…

A:

Q: Let X be a binomial random variable with mean u = 2.2 and variance o? = 1.76, find %3D %3D a) Write…

A:

Q: Let X and Y be 2 random variables with joint probability distribution given in the following table:…

A: From the table we see that: f(X=0)=0.3+0.1=0.4 f(X=0 and Y=3)=0.3