Question 1 Let X be a continuous random variable. Find P(X = c): P(X = c) = (Round the answer to 4 decimal places)

Q: Question 1. Let X and Y be independent random variables. Suppose that the moment generating…

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Q: For two random variables X and Y where X∼ exponential(0.5) and Y|X = x ∼ N(5,x2), find E(E(X|Y ))

A: Given, Two random variables X and Y such that X~Exp(0.5) and Y|X=x ~N(5,x2)

Q: Question 9 et X be a continuous random variable such that 0.97= 3. Find P(X < 3): P(X < 3) = (Round…

A: Given  X0.97=3

Q: A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's…

A: As per the question we have Claim: - Golfers can lower their score by using the manufacturer’s newly…

Q: d. Let X and Y be independent normal random variables, each with mean u and standard deviation o. 1.…

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Q: Suppose that X and Y are discrete random variables taking the values 1 and 2. Suppose further that…

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Q: Let X be the random variable, and create two new copies of this X₁, X₂ ~X x | P(X = x) 0 0.5 1 0.2 2…

A: To determine whether 2X and X1 + X2 have the same distribution, we need to compute their respective…

Q: Let X and Y be random variables such that E[X]= 2 and E[Y] = 3. a. Find E[4X + 5Y]. b. Find E[4X –…

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Q: Question 4 Let X be a continuous random variable such that P(X 6): P(X> 6) = (Round the answer to 2…

A: P(X&lt;6)=0.1

Q: Find the distribution functions and con- ditional cdf's.

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Q: Let X be a continuous random variable such that 20.97 P(X<3) = 0.97 3. Find P(X<3): (Round the…

A: given data X is continuous random variablex0.97 = 3P(x&lt;3) = ?

Q: The probability distribution function of a discrete random variable X is x2 55 ,x = 1,2,3,4,5 0,…

A: Find  Var(3X+2)=? 5E(2X-1)=? E(2X+1)2=?

Q: What is the expectation (to 2 decimal places) of Y? ELY

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Q: Let X be an exponentially distributed random variable with parameter = 1. (recall that if…

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Q: Question 3 Let X and Y be two independent random variables. Suppose that Var(2X – Y) = 3 and Var(X +…

A: Given,Var(2X-Y)=3Var(X+3Y)=5and X,Y are independent

Q: A continous random variable x has p.d.f.,then a. f(x)>=1 b. f(x)>==0 C. d. f(x) >:0 0=<lt; f(x)=<1

A: It is given that f(x) is a probability density function (pdf) of a random variable X.

Q: A random variable X has the PDF fx(x) = fx(#)= k(1 – a*), -1 <<1 fx(x)%3D0, otherwise a. Find the…

A: Solution

Q: Let f(x)= cx for 1 3.2).

A: Obtain the value of C. The value of C is obtained as follows; Probability Density function: Thus,…

Q: For the discrete random variable X, P(X = 1) = p = 1 – P(X = -1). Please find c so as to be E(cX) =…

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Q: (i) If a Gauteng resident is selected at random, what is the probability that (a) he is under 21 and…

A: Here AS PER POLICY I SHOULD HAVE TO CALCULATE 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED 4 PLZ…

Q: #7-9: The number of minutes that people spend with their dog at a dog park has u = 48.5 minutes and…

A: 7) Let x¯ be the mean number of minutes that people spend with their dog at a dog park. The mean and…

Q: The director of admissions at Pentagon College administered a newly designed entrance test to 20…

A: Given information: n=20∑Xi=100∑Xi2=509.12SSE=3.41Regression equation, yi⏞=-1.70+0.48XiMean, x¯=5

Q: Q: Let X and Y be random variables such that E[X] = 2 and E[Y] = 3 . a. Find E[4X + 5Y] . b. Find…

A: It is given that E(X)=2 and E(Y)=3.

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…

Q: Question 1 For a uniform random variable U~ U(18,30), find the probability P(U < 23): P(U23) (Round…

A: It is given that the uniform random variable U is U ~ U(18, 30)

Q: Let x, and x, be independent random variables with respective means µ = 75 and µ = 50, and standard…

A: 1) Given that W=x1-x2So, mean…

Q: Find the mотеnt m,:

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Q: Question 6 Let X be a continuous random variable such that P(X < 4.4) = 0.48 and P(X < 18.4) = 0.62…

A: 6) Answer:- Let X be a continuous random variable such that P(X &lt; 4.4) = 0.48 and P(X &lt; 18.4)…

Q: A discrete random variable has the p.mf f(x) = ax x=1, 3, 5 O A. 0.11 O B. 9 OC. 4.5 O D. 5

A: Given data: f(x) = a.x Where , x = 1,2,3 To find : value of a

Q: A survey shows the following results: n = 50 where 32 subjects have a Facebook account, 20 subjects…

A: Obtain the probability of no Facebook.   The probability of no Facebook is obtained below as…

Q: A random variable X has the following pdf: fx(x)= e-(-0.12)² 8π What is the probability that X > 1?

A: The probability density function of the random variable X is,.

Q: 2:33 LTED Quantitative Techniq... Quantitative Techniques Assignment 2 Q 1. A husband and wife…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: d. Let X and Y be independent normal random variables, each with mean u and standard deviation o. 1.…

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Q: 3. Let X and Y be i.i.d. standard normal random variables. Find E[X2 +Y²] and EVX² +Y².

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Q: Let X be a discrete random variable with the following pmf: 10 15 21 28 p(x) | 8-c 4.c 9-c 10-c 5.c…

A: It is given that, P( X≤ 2 ) = 0.24. That is, P( X≤ 2 ) = 0.24 P(X=0)+ P(X=1 ) = 0.24 8c+4c = 0.24…

Q: a prob. 174 Find (c) E (XY)

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Q: Find the marginal pdf's

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