[2] X is an exponential random variable with variance 9. If (X, Y = (2, otherwise, 1

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A:

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A:

Q: 7. Calculate the variance of g (X) = 2X + 3, where X is a random variable with probability…

A: The given data is as follows: x0123f(x)

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A: The variable X is a continuous random variable.

Q: f(x) 0.5

A: It is an important part of statistics. It is widely used.

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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Q: 5. Suppose that the current stock price is 100 $. Its annualized volatility is 25 % and return 15 %…

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Q: If Y₁ = ettet-1+e-2 3 ', PY₁,Y₁-2 find E(Y), var(Y), cov (Yt, Yt-1), cov (Yt, Yt-2), PY,Y, and…

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Q: Suppose X and Y have joint probability density function [C(x²+y²), _if0<x<y<1, otherwise. f(x, y) =…

A: The formula to calculate the expected value of x is,The formula to calculate variance of x is,

Q: Homework-1: Suppose a continuous random variable X has the following probability density e 2, x >0…

A:

Q: 19. In Saint Tropez, the probability that it rains on a given day is 10%. Given that it rains, the…

A: f(x)=13×e−x3; x&gt;0

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A: Solution: From the given information, X follows normal distribution with mean µ=0 and variance σ2=1.…

Q: Suppose X 1s a discrete variable that has the following pr function (pdf) f(X) 1 0.40 2 0.20 3 0.15…

A: Solution: Let X be the discrete random variable  The probability density function of X is  x f(x)…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.