Let X and Y be independent Poisson random variables with parameters 0.25 and 0.35,

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Q: - Let X and Y are independent Bernoulli random variables, then find X+Y.

A: X & Y are independent Bernoulli random variables,Bernoulli distribution : It is a discrete…

Q: Let the random variable X assume the value r, with probability law P(X=r) =q P, Find the moment…

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Q: For events A and B we have P(A) = 0.3, P(B) = a and P(AUB) = 0.7. Then the value of a if A and 4. B…

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

Q: Suppose that X is a N(3,4) random variable and suppose that Y=2X+3. Determine P(Y>11.4).

A: We have given that,  Let X be the random variable from N(3, 4) and Y = 2X + 3  Then,  We will find…

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 X1 be a normal random variable with mean 2 and variance 3 and let X2 be a normal random variable…

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Q: Let X and Y be independent random variables with means x,y and variances o, oy. Find an expression…

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Q: Suppose that the random variable has mean and variance o2>0. What are the values of a and b >0 such…

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Q: Suppose that the number of accidents occurring on a highway each day is a Poisson  random variable…

A: Givenλ=3.1 for each dayLet "x" be the no.of accidents occur in a dayx~Poisson(λ=3.1)P(X=x)=e-λ×λxx!…

Q: Derive formulas for the mean and variance of a Poisson random variable with parameter λ using its…

A: The objective is to find the formula for the mean and variance of a poison random variable with the…

Q: Let the random variable X fit the binomial distribution with parameters (p,N). Find the variance by…

A: Solution : Given : X ~B(p, N) where, p = probability of success N= no. of trials x = no. of…

Q: The number of times that a person has a cold each year is a Poisson random variable with parameter λ…

A: Define the event E as the drug works, thus P(E)= 0.75 The drug that doesn't work is the complement…

Q: random variable Y is binomial with parameters n = 5 and p = x. a) E(Y) = 2.5. b) E(Y²) = 25.

A: Given b part is wrong

Q: Prove that the mean and variance of a binomially distributed random variable are respectively:   mu…

A: Expected value:The expected value is given below:

Q: Let X 1 be a normal random variable with mean 2 and variance 3 and let X 2 be a normal random…

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Q: Tay-Sachs disease is a rare fatal genetic disease occurring chiefly in children, especially of…

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Q: Let X be a binomial random variable with parameters n = 20 and p ( p is intentionally not given in…

A: From the provided information, Sample size (n) = 20 Since the value of p is not provided therefore,…

Q: Let X, and X, be independent random variables. Suppose the mean of X, and X2 are 2.5 and 3; and…

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Q: Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Tatiana is…

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Q: Let X₁ and X₂ be two independent random variables with normal distributions N(1,9) and N(-3,16),…

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Q: The table below gives the joint probabilities distribution of two random variables X & Y Green (X=1)…

A: Here we have given joint probabilities distribution of two random variable of X and Y…

Q: For a discrete random variable X if : Points ) P ( X = x ) = 0.1x , x = 2 , 3 , 5 , then E ( X2 ) =

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Q: Let (x1, x2,.., xn) be the observed values of a random sample for a Gaussian random variable X. Find…

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Q: Find the covariance and the correlation coefficient between X and Y, if X and Y are jointly discrete…

A: For the given data Find the covariance and correlation between x and y

Q: Let X and Y be independent discrete random variables and suppose that X+Y=2. Show that X and Y are…

A: The objective of the question is to prove that if X and Y are independent discrete random variables…

Q: Let X be a random variable with mean u= E(X) = 10.33 and variance o = 12.81. Determine: E{10- E 10-…

A: In question, We have given that X is random variable and E(X) = 10.33 and sigma^2 = 12.81. Then…

Q: Let X1 and X2 are each independent Bernoulli random variable with probability of success p=0.2 and…

A: Thank you for posting the question. As you have 3 different question, as per the policy, we have…

Q: Let ã be a random variable with an invertible cdf F. What is the distribution of Fa(ã)? Justify your…

A: a~ is Random Variable with invertible cdf Fa~. Therefore, P(a~ ≤ t) = Fa~(t) Let, Fa~-1 be the…

Q: Calculate the variance of a random variable X whose characteristic function is (1+ e3it)² f(t) = 4

A: We have given that the characteristics function of random variable X and we have to calculate the…

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: The number of times that a person contracts a cold in a given year is a Poisson random variable with…

A: It is given that, The number of times that a person has a cold in a given year is a poison random…

Q: The random variable X takes values -1, 0, 1 with probabilities 1/8, 3/8, 4/8 respectively. a) Write…

A: Given, X -1 0 1 P(X) 1/8 3/8 4/8

Q: Assume that a random variable Y has a mean of zero and standard deviation of one. Calculate the…

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Q: Provide the graphs for PDF and CDF of the random variable B which takes on values of 1 and 0 with…

A: Introduction: Denote the random variable as B.

Q: 3. V is a normal Gaussian random variable. P = V2 – 2V + 1 a. Find the PDF of P. b. Find the…

A: Please check the solution below