If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). i. Var(X). P(X< 3)

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Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

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Q: For a binomial random variable X ~ B(n = 3, p = 0.3), find the probability P(X = 1): P(X = 1) =…

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Q: Suppose you have a chi-square random variable, Y, with 10 degrees of freedom. What is the smallest…

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Q: If a random variable X has the gamma distribution with a=2 and B=1, find P(1.6<X<2.5).

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Q: Let X be a binomial random variable with n=7 and p=0.1, then The variance of X is 0.63 P(X>1)=…

A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

Q: For a continuous probability distribution, 0 < x < 16. What is P( x = 3) ?

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A: Solution: Let Y be the chi-square random variable with 10 degrees of freedom

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find: i. E(X) ii. Var(X)…

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Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

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Q: 1. n = 30 and p = 0-6 2. n = 50 and p = 0.45 3. n = 80 andp= 0.35

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: For the discrete probability distribution. 1 3 4 5 7 f k 2k 2k 3k k² 2k² 7k² + k Find the variance.

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Q: If MGF of random variable X is e*+Sr, find Prob(-1 <X<9).

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Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find:    i. E(X) ii.…

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Q: For a random variable X ~ Exp(2), find P(X < 1) and E[X].

A: Given: λ=2

Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). ii. Var(X).…

A:

Q: Find the approximate mean and variance of Y = √X, where X is a random variable following a Poisson…

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Q: The random variable X has a binomial distribution with n=6 and p=0.3. Calculate P(X greater than or…

A: Given,n=6p=0.3A random variable X~Binomial(n=6 , p=0.3)P(X=x)=6x 0.3x1-0.36-xP(X=x)=6x 0.3x0.76-x  ;…

Q: The random variable X is related to e2. Find P(X>0.4).

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Q: (b) Compute the mean and standard deviation of the random variable using Hx = E(x•P(x)] and oy =

A: here n= 6 p =0.7 q=1-p = 0\.3 here for binomial distribution p(x=r)=nr(p)r(q)n-r   so now…

Q: If X has a binomial distribution with n = 3 and θ = 13 , find the probability distributions of(a) Y…

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Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

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Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

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Q: If Xis a random variable having a binomial distributionwith n = 20 and p = 0.4, and Y is a…

A: The random variable X has a binomial distribution with n=20 and p=0.4. Here Y=2X+3.

Q: Let X be a random variable that follows the Poisson distribution with a mean of 6. Find: a. РX-0) b.…

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Q: Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x is greater…

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Q: Let X be a discrete random variable with PGF P(s) = a. Find the probability distribution of X. b.…

A: * SOLUTION :-    From the given information the answer is provided as follows