Answered: X, Y are i.i.d N(0,0²) • We found out… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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(5.) IF X
5. If X, Y are i.i.d N(0,0²)
Y
. We found out in the class that √X² + Y2 is Rayleigh distributed. Find its expectation and
variance.
(
• Find the cdf/pdf of the power signal X2 + Y2. What is the name of this distribution?
. Find the expectation and variance the above.

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Solve it correctly please. I will rate accordingly.
Suppose X and Y have the following joint distribution: (please refer to image attached) Find the distributions of X and Y. Find Cov (X, Y), i.e. the covariance of X and Y. Find p(X, Y), i.e. the correlation of X and Y.
. What is the probability distribution if X~ B(3,0.82)? O P(X = 0) = 0.01 P(X = 1) = 0.08 P(X= 2) = 0.36 P(X = 3) = 0.55 O P(X = 0) = 0.55 P(X 1) = 0.36 P(X = 2) = 0.08 P(X = 3) = 0.01 P(X 0) P(X = 1) = 0.21 P(X 2) = 0.37 P(X = 3)3 0.61 = 0.03 P(X = 0) = 0.11 P(X = 1) = 0.20 P(X = 2) = 0.26 P(X = 3) = 0.43 %3D %3D
Prob. 3 Let X be a random variable with cumulative distribution function (cdf) given by (1-e-x², x ≥ 0 ={1,- x<0 Find the probability that the random variable X falls within one standard deviation of its mean. Fx (x) =
A random variable Y has a uniform distribution over the interval (?1, ?2). Derive the variance of Y. Find E(Y)2 in terms of (?1, ?2). E(Y)2 = Find E(Y2) in terms of (?1, ?2). E(Y2) = Find V(Y) in terms of (?1, ?2). V(Y) =
3. Let Y be the number of speeding tickets a YSU student got last year. Suppose Y has probabilitymass function (PMF)y 0 1 2 3fY (y) 0.12 0.13 0.33 0.42(a) What is the probability a YSU student got exactly one ticket?(b) What is the probability a YSU student got at least one ticket?(c) Compute µY , the mean of Y .(d) Find the variance and standard deviation of Y .(e) What is the probability that Y exceeds its mean value?
Prob.5 Find the mean, the median, and the mode of the random variable X with the following probability density functions: (a) Gaussian distribution with parameters μ and o². (b) Exponential distribution with parameter 1. (c) Beta distribution with a = 3 and b = 4. (d) Uniform distribution in the interval (a, b).
2.2 Solve the below problem. Table 1 contains the probabilities associated with each possible pair of values for Y, and Y2 and is known as the joint probability function for Y and Y2 Table: Probability function for Y, and Y2 y1 1 2 yz 1/9 2/9 1/9 1 2/9 2/9 0 2 1/9 0 Find F(1, –1), F(1.5, 2), and F(2,2).

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