Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find the variance of X (four decimal places)

Q: Let X be a random variable with mean E[X] = 20 and variance Var(X)= 3. Define Y = 3 - 6X. Calculate…

A: We have given that, Let X be a random variable with mean E[X] = 20 and variance Var[X] = 3   We know…

Q: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

A: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

Q: A random variable X has the following probability distribution. Values of X -1 1 Probability 0.22…

A: We have given that Values of x -1 0 1 ProbabilityP(x) 0.22 0.56 0.22

Q: Q3: Let i be the observed mean of a random sample of size n from a distribution having mean u and…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Consider the discrete random variable X given in the table below. Calculate the mean, variance, and…

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Q: A random variable X has the following pdf: f(x) = 9xe-3"; x > 0

A: Given: random variable x with gamma distribution with pdf  f(x)=9*x *e^-(3x)  : x>0  then to find…

Q: Q5: Let X be a random variable following a normal distribution with mean 14 and variance 4.…

A: Given, Mean μ = 14Variance σ2 = 4Standard deviation σ = 2 P(X-2 > c) = 0.95

Q: A discrete random variable X has the following probability distribution: 3. 4. P(x) 0.10 0.25 0.40…

A: Let X be the random variable having probability mass function is,  X 1 2 3 4 5 P(x)  0.10 0.25…

Q: 2n- 50 and p= 0.45

A: Given, Let, n =number of trials p =the probability of success q=1-p

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: we are evaluating two random variables X and Y with probabilitydistribution equal to: p(x, y) = P (X…

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Q: he number of homes sold by a realtor during a month has the following probability distribution:…

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Q: A random sample of size 25 is selected at random from a normal distribution with mean 20  and…

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Q: Let X1 be a normal random variable with mean 2 and variance 3 and let X2 be a no random variable…

A: Given that X1 follows Normal distribution with E(X1)=2 and V(X1)=3. X2 follows normal distribution…

Q: Let z be a normal random variable with mean 0 and standard deviation 1. The 50th percentile of z is…

A: Given that, Z be a normal random variable with mean 0 and standard deviation 1.

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

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Q: A random variable X has a normal distribution with mean 250 and variance of 625. If x = 300, then…

A: Given mean=250, variance=625 we have to find Z value

Q: Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x=4).

A: Solution

Q: Find the MGF of the binomial distribution and hence find its mean and variance. Binomial…

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Q: If X is a random variable that has a normal distribution with mean u,=10 and variance ơ,=9, Find A…

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Q: i. If a pair of random variables X and Y have a Bivariate Normal distribution, with u 9, p-5, G1 -…

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Q: Let ? be a continuous random variable with Uniform distribution having mean 1 and variance 4/3.…

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Q: Let X and Y be two independent random variables, each of which follow a normal distribution with the…

A: Given information: X~N+μ, σ Y~N-μ, σ

Q: For a simple random sample, is: A. Standardized to have mean 0 and variance 1 always B. Normally…

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Q: Let X be a normal variable with a mean of 12 and a standard deviation of 2. Find the value of the…

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Q: Let X be a random variable with an expected value of -1, and let X2 have an expected value of 8.…

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Q: Q3: Let i be the observed mean of a random sample of size n from a distribution having mean u and…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose that X1, X2,...,Xn represent a random sample from a normal distribution with mean, µand a…

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Q: Use the z-table (attached to this test), calculator, or computer software to find the following:

A: Given: The random variable X approximately follows a normal distribution with mean (µ) is 0.01 and…

Q: The probability distribution for random variable X is given in the table below. 2 0.15 2 0.15…

A: 1) find expected value μ we need create following table to find expected value μ x P(X=x)…

Q: A random variable X has the following probability distribution. Values of X -1 1 Probability 0.28…

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Q: The probability distribution of a random variable X is given. x     10         11         12…

A: We have given the probability distribution of random variable x.

Q: places.) x 0 1 2 3 P(X = x) 0.4 0.3 0.1 0.2 ? =

A: Given information- We have given the probability distribution for X. The given observations and…

Q: Let X be a random variable with the following probability distribution: - 4 3 5 f(x) 0.6 0.3 0.1…

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

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Q: Let X have beta distribution with a =2 and B=3. Then the mean and the variance of X, respectively,…

A: We know that,α β The pdf of Beta distribution is, f(x) = 1/B(α, β)*xα-1(1-x)β-1   Mean(X) = α/(α+β)…

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

A: According to the given information, we have X follows discrete uniform distribution with parameters…

Q: Let X∼Uniform(0,1) distribution. Find the PDF of Y= 3√X and derive the expected value and the…

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Q: The service times for customers coming through a checkout counter in a retail store are independent…

A: Given that μ=1.5,σ2=1.0, n=100 P1.5-y0≤Y¯≤1.5+y0=0.95

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: Consider the probability distribution function: X: 1 Probability: 0.2 0.7 0.1 For the above…

A: Given Data: X P(X) X P(X) X2 P(X) 0 0.2 0 0 1 0.7 0.7 0.7 2 0.1 0.2 0.4     ∑X P(X)=0.9…

Q: Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal.…

A: Let Xi~Bn,p, the the p.m.f of Xi is given by, px=Cnxpxqn-x,x=0,1,2,...,n Then, EXi=np and VXi=npq…

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

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Q: Let X1, X2, X3… X20 be a random sample from a distribution with mean 8 and variance 5. Find the mean…

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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 have beta distribution with a = 2 and B = 3. Then the mean and the variance of X,…

A: Given Data: a=2 b=3   X~ Beta (2, 3)

Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?