Let X be a random variable with probability density function, What is EX? , What is Var(X)? cx(5 – x) for 0 < x < 5 otherwise f(x) =

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A: A correlation is a relationship between two variables(dependent and independent variables).

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A: here define events get blue ball  =  B get yellow ball= Y  here total 5 blue balls and  4 yellow…

Q: The joint distribution of the random variable X and Y is given in the following table: X Y 2. 1 16…

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Q: Let X and Y be two continuous random variables with joint probability density function given by:…

A: First we have to calculate the Var(Y) as Var(Y) = E(Y2) - [E(Y)]2

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Q: 1. P(~G) 2. P(~M) 3. P(G • ~G) 4. P(M V ~M)

A: AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here, p(G) = 3/5  p(M) = 3/10  p(D) = 9/10  p(G | M)…

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A: Let X be the random variable from normal distribution with mean (μ) = 80.1 and standard deviation…

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A: Let X be the random variable from normal distribution with mean (μ) = 970, standard deviation (σ) =…

Q: Question * The joint distribution of the random variable X and Y is given in the following table: 1…

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Q: III. Use the grouped frequency distribution below to answer item numbers 19 to 25. Class Interval f…

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A: Given: p̂ 0.54 n 2347 α 0.01

Q: Question Given the continuous random variables X and Y with joint probability density function: f(x,…

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Q: What are Diego's expected winnings from playing The Slow BalI Challenge? Show ll work and round your…

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Q: How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each…

A: here given scenario is with replacement ,

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A: If the occurrences of both events cannot occur same time, then the events can be called as mutually…

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A: Given Information: The die has four faces numbered as 1, 2, 3, 4. When the die is rolled, the faces…

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A: Given that one word is to be selected at random from the sentence "THE GIRL PUT ON HER  BEAUTIFUL…

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A: Given : Probability of success,p = 0.70 Probability of failure,q=(1- 0.70)= 0.3

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Q: Suppose that in a simplified model with proportional taxation consumer’s utility is represented by a…

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Q: Question * Given the continuous random variables X and Y with joint probability density function: xy…

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Q: Cov(ax + b, cY + d) = - E(ax + b)E +, )-)) + adx + bcY + bd - ((аЕX) + b) + adE(X) + bcE(Y) + bd = +…

A: Solution

Q: 20 Select the correct answer. For what constant k is RX) = ke *- 1 a probability density function on…

A: 20) The value of k is,

Q: Question * In the instant lottery with 20% winning tickets, if X is equal to the number of winning…

A: Probability is the chance of occurrence of an event.

Q: Let X and Y be two continuous random variables with joint probability density function given by:…

A: Var(aX)= a2var(X) cov (aX,bY)= a×b×cov(X,Y)

Q: Question* Let X be a random variable with probability distribution as shown below: 25 2<x<10 f) = 3x…

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Q: Question * The joint distribution of the random variable X and Y is given in the following table: X…

A: Let X and Y be two discrete random variables defined over the sample space S. Then the function f(x,…

Q: Among the 30 applicants for a position at a bank, 18 are married, of which 6 have sor banking…

A: Given : Total number of applicants = 30 Married = 18 single = 12

Q: In the instant lottery with 30% winning tickets, if X is equal to the number of winning tickets…

A: Given :  Probability of success,p = 0.30

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Q: Let X represent the full height of a certain species of tree. Assume that X is normally distributed…

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Q: Are the two events in each scenario mutually exclusive or not? Explain. d) Walking from home to…

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

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A: Given (110.4, 111.6) (110.1, 111.9) To find the sample mean frequency we find the average of upper…

Q: 1%VA M >4 1:YA * Question If a random variable X is defined such that: E(X+4) = 10 and E[CX+ 4)2)=…

A: Variance V(X)= E(X2)- [E(X)]2

Q: 15.) In how many ways can the letters of the word "MISSISSIPPI" be arranged?

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