Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18 Find E(X), Var(X) and sd(X)

Q: 4, ii. a probability distribution function m(x) for a discrete random variable X such that a…

A: We have to find PMF of a discrete random variable X with mean and standard deviation such that

Q: Q1. A box is to be constructed so that its height is five inches and its base is Y inches by Y…

A: I solved exactly first question because of bartleby policy if you want more please uplode…

Q: Suppose X is a random variable with normal distribution. E(X)=1 and Var(X)=4 Suppose P(X<k)=0.9773…

A: The random variable X follows normal distribution with mean 1 and variance 4. Then the standard…

Q: The random váriáble X has the following pdf: y-1/2 1 x/2 X > 0 fr (x)={ 8 otherwise The random…

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Q: 1. The random variable X has probability distribution. X 1 3 5 7 9. P(X=x) 0.2 0.2 0.15 Given E(x)=…

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Q: The random variable X has a pdf f(x) = 5x 0≤x≤0.6325. Find P(X≤ 0.4) 0.333 0.632 0.486 O 0.413 0.400…

A: pdf of x : f(x) = 5x  ; 0≤x≤0.6325   we have to find P(x≤0.4) = ?

Q: Let X denote the number of VCRS sold during a random week by a certain store. The probability…

A: Given, xf(x)00.616410.095620.035430.046140.2065Y = 4X+2

Q: f(x) -a ey, x > 0, and 0 otherwise. 1 Given that i. Show that f(x) is a distribution fX is a random…

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Q: P(x) 0.1 0.3 0.2 0.3 0.1 Find (?(?≥1) Find the expected value (mean) of ?.

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Q: Given: f(x) = {1; 0<x<1 0; ew] Find the probability distribution function of Y = -2ln(x)…

A: The PDF of X is:f(x)=1;0&lt;x&lt;1Objective:PDF of Y=−2ln(x)Method Used:Transformation of Random…

Q: A random variable X has the cumulative distribution function. Calculate the Expected Value of X…

A: Answer: - Given, the CDF of X is                 F(x)   x2-2x+221≤x&lt;21x≥2                    Find…

Q: 1. (14 points) A small airplane has 6 passenger seats. Let X be the number of occupied seats for a…

A: 0 0.08 0 0 0 1 0.12 0.12 1 0.12 2 0.15 0.3 4 0.6 3 0.15 0.45 9 1.35 4 0.20 0.8 16 3.2 5…

Q: Parametric Inferential Statistics 6. Let X - Geom(p-0.7). Find the probabilities that X is within 2…

A: We want to find the probability  P(μ-2σ&lt;X&lt;μ+2σ)= ?  P((μ-3σ&lt;X&lt;μ+ 3σ)= ?  P(X=x)=pq^x ;…

Q: The random variable X, representing the number of errors per 100 lines of software code, has…

A: Given that,x23456f(x)0.40.250.30.010.04we need to find the value of variance by the given formula,

Q: Given X and Y are two events. LetP(M) = 0.49, P(N) = 0.44, P(MN) = 0.17 Find the value of…

A: M,N are two events.P(M)=0.49P(N)=0.44P()= 0.17we need to find P(M/N')

Q: Y has a distribution function (0, ys0, 24 F(y) = 0 <y< 6, 6 sy< 12, 144 (1, y 2 12. Find the mean…

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Q: Find the standard deviation. P(x) x*P(x) (x - H)°P(x) 0.1 2(0.1) = 0.2 4 0.3 4(0.3) = 1.2 6 0.4…

A: Given probability distribution of x. We need to find standard deviation.