O 1/12 Question * A fair die is thrown five times. Let X be the random variable "number of getting an ev number in the 5 throws Then P(X ≥ 4) = O 0.1875 0.0312 h 0.8125 0.5432 Question Suppose that X and Y are random variables with E(X) = 2. E(Y) = 5 and E(X) = 8. E(Y) = 30 and co(X + 2Y 3X + 11)=-12, then cov(2X+3.-3Y+4) is equal to: Hint: covlax + by CX + Y) acV(X) = bdVY+ (bc + ad)cov(X,Y) -64 O Ei OO -30

Q: A sociologist randomly selects single adults for different groups of three, and the random variable…

A: mean(μ)=∑ixP(x)

Q: 7) The discrete random variate X has the following pmf: 1 2 3 4 f(i) 0.2 0.35 0.2 0.15 0.1 Find the…

A: Given: The pmf of X is as follows i f(i) 0 0.2 1 0.35 2 0.2 3 0.15 4 0.1 Y=eX

Q: 2/(a) Let X be a random variable with p.d.f. 1<x<0 S(x) = { find (1)k (2) Var(x).

A: Solution

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A: If a random variable X follows binomial distribution. X~Bx, n, p=13 and PX≥1&gt;0.8 We need to find…

Q: A random variable X has the following PMF: [refer to image] a) Find E(X) b) If Y = g(X) = X^2,…

A: The solution to the problem you provided involves several key concepts from probability…

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A: Characteristics function of random variable X : Φx(t)=0.8/(1-0.2eit) To find 1): E(x) 2): E(x2) 3):…

Q: If a random variable X is defined such that: E (X + 4) = 10 and E[(X + 4)²] = 112. Then the values…

A: The image is attached below,

Q: If the joint cumulative distribution function of random variables X and Y is F(x,y) = (1 – e*)(1 –…

A: The joint cumulative distribution of X and Y is given by, F(x,y) = (1-e-x) (1-e-y)   x&gt;0,y&gt;0…

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A: Given information: X is a random variable following Poisson distribution with parameter λ. Thus,…

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A: The random variable X has a moment generating function ψ(t)=164+et+e-t        for -∞&lt;t&lt;∞ We…

Q: Question* Let X be a random variable and Y and Z are defined by Y-X-1 and Z-Y-1. If E (Y?) = 10 and…

A:

Q: (40) Let X be a random variable with p.d.f. (k +4)e¯3x f(x) ={ 01) O.w

A: a)Use the condition of valid pdf to find the value of k…

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A: Given: Z = X+Y E[X] = μx = 24 σx = 6 E[Y] = μy = 14 σy = 4 Formula Used: E[X + Y] = E[X] + E[Y] V[X…

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A:

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A:

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A:

Q: 10 03 Suppose x is a normally distributed for continuous random variable with A- and - 6. Find value…

A: The provided information is  µ=10 σ=6…

Q: 2. (8 marks) Suppose X and Y are independent random variables where X- Exp(1) and Y has a geometric…

A:

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A:

Q: 5 In a random experiment, P(A) = 습, P(B) = P(B/A) = find P(AUB) 12 12 15

A:

Q: Q2/(a) Let X be a random variable with p.d.f. kx 1<x<∞ S(x)= { find k. o.w (b) Let Xbe a random…

A: The p.d.f of X is valid if and only if ∫1∞fxdx=1⇒∫1∞kx-2dx=1⇒k∫1∞x-2dx=1⇒k…

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A: Given,  μX = 24 , σX = 6  and   μY = 14 ,  σY = 4 __________________ Z = X + Y ____________________…

Q: Question * Suppose that X and Y are random variables with E(X) = 2. E(Y) = 5 and E(X²) = 8, E(Y) =…

A:

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A:

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A: Given: Object is equally likely to switch readings between any of the 7 values Y is the temperature…

Q: (52) Let X be a random variable with p.d.f. 1 0<x<0 f(x) = ,find E(e") O.w -in

A:

Q: =event with exactly 2 heads, and B=event at le

A: To find: P(BA') A is the event with exactly 2 heads. B is the event that at least one head appears.

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A: We have to determine value of c.

Q: (40) Let X be a random variable with p.d.f. (k +4)e-3* f(x) =- 01) O.w

A:

Q: (4) Let X be a random variable with p.d.f. 2e-2x 0<x<0 f(x)= , find E(e2x) O.w

A: Random Variable: A random variable is a real valued function that assign a real number to each…

Q: Question 8. Let X be a random variable with the pmf p(r). Suppose that p(r) is posit ive on…

A: Given: X be a random variable with probability mass function p(x) is given.         px=a , for…

Q: The probability mass function of a discrete random variable Y is given by PO) = }6-y' y = 2,3,4, 5…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…