A random variable has poisson distribution such that P (X =3) = P (X= 4). Find P (6).

Q: If the random variable X follows N (0, 2) and Y = 3X, find the mean and vari- %3D ance of Y.

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Q: The random variable X has a Poisson distribution and is such that P(X)= 2 = 3P(X= 4). Find these,…

A: Assuming P(X=2)=3P(X=4) x~Poi(x),λ>0P[x=x]=e−λλxx!P[x=2]=e−λλ22!P[x=4]=e−λλ44!∴ Assuming…

Q: Calculate value of (t) if: first sample mean = 85, second sample mean = 91, and o x1-x2 =

A: We want to findvalue of t

Q: If X is a Poisson variable such that P(X= 2) = 9P(X = 4) + 90P(X=6), find the mean and variance of…

A: Let X be the random variable from Poisson distribution  with P(X=2) = 9P(X=4) + 90P(X=6)  Then,  We…

Q: If X is a binomially distributed radom variable with E(X) var (X) 4/3; find the distribution of X. 2…

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Q: f the random variable X follows the uniform distribution U= (0,1) What is the distribution of the…

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Q: d) The random variable X has a Poisson distribution such that P(X= 0) = P(X = 1). Calculate P(X =…

A: Given problem Given that   d)   The random variable X has a Poisson distribution such that P( X=0…

Q: The Project Manager found that distribution of the amount of gravel (in tons) sold by a particular…

A: (As per the bartleby guidelines, for more than one question asked, only first one is to be solved.…

Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: Let X1, X2,...Xn be a random sample from a Poisson distribution with variance 0. Find an unbiased…

A: Let, X1, X2…Xn be a random sample from Poisson distribution with variance = θ For Poisson…

Q: Assume a random variable XX follows a Poisson distribution with a mean = 1.1. Find P(X=4)P(X=4).…

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Q: Let X denote a random variable that has a Poisson distribution with mean 1= 2. Find (a) P(X = 4) %3D…

A: Here X~ Poisson with parameter 2. We need to find the required probabilities.

Q: Suppose random variable X has a Poisson distribution with t​ = 2 and λ= 4. What is​ E(X)?

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Q: The random variable 'X' has the Poisson distribution Po(m) and P(X=5) = P(X=4) + %3D P(X=3). Find…

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Q: the maximum likelihood estimator of a random variable x with uniform distribution U(0, 0), 0 =…

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Q: Find the standard deviation of a discrete random variable X which satisfies P(X=1)=0.1,P(X=-1)=0.6,…

A: Given: A discrete random variable X satisfies the following:     P(X=1)=0.1P(X=-1)=0.6    P(X=2)=0.3

Q: is a Poisson random variable with a rate 11 Calculate P(X = 8)?

A: Answer: From the given data, X is a Poisson random random variable with Rate λ = 11

Q: 1.28 On any day, the number of accidents on the highway has a Poisson distribution with parameter A.…

A: We  have to find mean and standard deviation for given uniform distribution...

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable. P(X =…

Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

Q: Let X be a binomially distributed random variable B(n, p) with E(X) = 2 and Var(X) = 4/3. Find n.

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Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

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Q: What is Pr(X = n) for a Poisson random variable with parameter l? What is E(X ) in this case?

A: The parameter of the Poisson random variable is l.

Q: If the number of random sleigh sightings x follows a Poisson distribution with a mean = 1.7, then…

A: Let X denote the number of random sleigh sightings and it  follows a Poisson distribution with a…

Q: If a random variable X has the moment generating function Mx (t) = 2 - ť Datermine the variance of…

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Q: If has a Poisson distribution such that P(X 21)=0.8646 then then the variance of is equal to

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Q: Use the geometric distribution to derive E(Y), E(Y^2), and V(Y) from the Poisson distribution

A: The geometric distribution and Poisson distribution are two different types of probability…

Q: Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)

A: A uniform distribution is a probability distribution that has constant probability. So, it is also…

Q: function: F(x) = 0 ; x 6 Count the value of constant "c" Count the P(X > 4) and P(5 <= X <= 6)…

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Q: Suppose the cumulative distribution function of the random variable X is 0 x < 0 F(x) = = 0 < x < 5…

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Q: In a poisson distribution P(X=0)=P(X=2).Find the variance V(X) of X.

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Q: Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random…

A: Given,F(X)=1-e-x3   ;  x≥0

Q: If the number X of particles emitted during a 1-h period from a radioactive source has a Poisson…

A: