a. Explain the difference between the method of moment generating function and the method of incarnation to find the probability density function of a random variable

Q: Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3)…

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

Q: i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S -…

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Q: Suppose that 40% of fruit flies possess a certain gene.  We will randomly select fruit flies until…

A: Given that 40% of fruit flies of fruit flies posses a certain gene. So, probability that a fruit fly…

Q: A coin is weighted so that P(H) = and P(T) = . The coin is tossed 3 times yielding the following…

A: The coin is tossed 3 times yielding he following 8-element  S = { HHH, HHT, HTH, HTT, THH, THT, TTH,…

Q: For the given probability distribution, X f(x,y) 1 2 5 0.25 0.2 y 10 0.2 0.15 15 0.15 0.05 Determine…

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Q: variables X and Y. Using this information answer the questions below. Y=2 4c 2c X=1 X=2 That is, P(X…

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Q: Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3)…

A: Given that Joint probability distribution function of X and Y (x,y) (1,1) (1,2) (1,3) (2,1) (2,2)…

Q: Exercise 23. Let X be a random variable having the uniform distribution on the interval (0,0+ 1), 0…

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Q: Question B) If the joint pdf of the continuous random variables X and Y is: fxy(x, y) = XY for 0<x<2…

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Q: Pick randomly one card from a shuffled deck of cards. Determine the distributions (name and…

A: One card is randomly picked from a shuffled deck of cards,  X= Picked card is heart   Y= Picked card…

Q: Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 4xy; 0<x<1, 0<y<1…

A: Let the joint pdf for the continuous random variables X and Y be:f(x,y) = { 4 xy; 0&lt;x&lt;1,…

Q: (c) (d) The joint distribution function FG,B (g, b). The marginal distribution function FG (g) and…

A: Given two random variables that are defined on the same probability space, the joint probability…

Q: Q3// let X and Y have the joint probability distribution function as : . (х, у) (1,1) (1,2) (1,3)…

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Q: II. Let X be a discrete random variable with possible values xi, i=1,2,..., and p(xi)=P(X=xi) is…

A: The given statements can be completed as follows, Let X be a discrete random variable with possible…

Q: 3.5 Determine the value c so that each of the follow- ing functions can serve as a probability…

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Q: Let X1,.. X„ be n independent random variables with PDF fx, (x) = - [A,e- if x > 0, i = 1,2, ..., n.…

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Q: Suppose that 40% of fruit flies possess a certain gene.  We will randomly select fruit flies until…

A: 40% of the fruit flies posses certain gene. So, probability that a fruit fly posses that gene = 0.4…

Q: X and Y are two discrete random variables, the following table summarizes their joint probability…

A: For a :  P(Y=1)=P(Y=1∩X=0)+P(Y=1∩X=1)0.216=a+0.096a=0.120 For b :…

Q: Afx is a normal distribution variable, then, the moment generating function is eloT2)

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Q: kindly help me with this problem  Enumerate and explain each briefly the THREE (3) Conditions /…

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Q: EXERCISE 3 Let X1, ..., X, be independent exponential random variables with mean 1/ß. Find the…

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Q: A simple random sample X1, …, Xn is drawn from a population, and the quantities ln X1, …, ln Xn are…

A: Solution: From the given information, a simple random sample  is drawn from a population and Q-Q…

Q: et Y₁, Y2, ..., Yn be a random sample whose probability density function is given by 0 0 elsewhere…

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Q: The plot below shows the probability density functions (PDFS) of three continuous random variables:…

A: Given : x follows N(6,9) y follows N(9.2.25)

Q: A physical fitness test was given to a large number of college freshmen in part of the test each…

A: A physical fitness test was given to a large number of college freshmen in part of the test each…

Q: Telephone calls enter a college switchboard on the average of two every three mimutes. The…

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Q: imported and Y = local). Find the probability that the proportion of %3D imported coffee is less…

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Q: Let X,, X2,.. ,X, be a random sample from a distribution with density function if x 20 -e f(x; 0)…

A: The answer is given using the concept of maximum likelihood. please find step by step solution…

Q: ii) Find an approximate 95% Confidence interval for ß.

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A: ⇒f(x, y) = 6e-(2x +3y) ; x, y ≥ 0 Cov(x, y) = E(xy) - E(x)×E(y) E(xy) = ∫0∞∫0∞xy f(x, y)=…

Q: b) Let Z₁ =*#*~N(0,1), and W₁ =~N(0,1), for i=1,2,3,...,10, then: i) State, with parameter(s), the…

A: Given Zi~N(0,1) and Wi~N(0,1)  Result: t~F(a,b) Then  Mean=E(t)=b/(b-2)…

Q: Q1) Let X denotes the minimum of the two numbers that appear when a pair of fair dice is thrown…

A: The sample when a pair of dice is rolled is given as below: S = {(1, 1), (1, 2), (1, 3), (1, 4), (1,…

Q: 4. Determine the values of c so that the following functions represent joint probability…

A: The question is about joint probability distribution.Given :

Q: 4. Determine the values of c so that the following functions represent joint probability…

A: The objective is to find the value of by representing each function as a joint probability…

Q: Let X1, X2, ..., Xn be a random sample from a Uniform(0,0 + 1) population with 0 > 0, *(3)**(3+1) X…

A: Given that, Let X1,X2,...,Xnbe a random sample from a uniform θ,θ+1population with θ&gt;0 where n is…

Q: i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S -…

A: Here given, Let S be a continuous random variable representing the students' study time (in hours)…

Q: Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3)…

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Q: a) Show that the pmf is well defined b) Determine Mx, also called the expected value of X. Interpret…

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