6. The random variables X and Y have joint probability density function ƒxy (x, y) specified in Problem 3 of Homework #9. a) Obtain the minimum mean squared error estimate (y) given the observation Y = y. b) If Y = y = 4, determine (y = 4).

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: 9. If X is a continuous random variable with probability density function given by f(x)=k(x-x³) <=0…

A:

Q: c) Suppose that X and Y are jointly continuous random variable - x f(x,y) = {o* for 0< x <1 and 1< y…

A:

Q: If X and Y are random variables and X is a geometric random variable where p = 0.1 then what is

A: Given information: X is a geometric random variable with p=0.1. Y=sinπX Y=

Q: Based on your reasoning that the location of the second hand of a clock when the teacher walks…

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

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: f (x) { kx, -1 < r < 1 0, kx², -1 <x < 1 = elsewhere

A: Answer - Given X has a probability density function               f(x)   = k x2                -1 ≤…

Q: 2. Let X be a random variable with the Poisson distribution, parameter 2. Show that, for w = 1, 2,…

A: X~Poisson(λ) Therefore P(X=x)=e-λλxx! ; x=0,1,2,……

Q: 8. A continuous random variable X has the probability density function given by 0≤x≤2 otherwise If…

A:

Q: 8. A random variable has a probability density function given by (4 x - 1 f(x) = 0 ≤ x ≤ 1, ≤ 2, 1 ≤…

A: The probability density function of the random variable  is given by,

Q: 8. Let X1, X2 be i.i.d. random variables from a distribution with p.d.f xe r>0 fx(x) = otherwise and…

A: The distribution is given by, fX(x) = xe-xx&gt;00Otherwise So,  P(X≥x)=∫x∞fX(t) dt=∫x∞te-t…

Q: 5. Two fair dice are rolled. Let X be the maximum of the results of two dice. (a) Probability Mass…

A:

Q: 5. If the probability density function of a continuous random variable X is (cz" 0<x<1 f(r) =…

A:

Q: Why the probability P(X=x)=0, for a continuous variable,?

A: Given info: The probability P(X=x)=0, for a continuous variable

Q: 2) Consider the random variable Y has a normal distribution with the following probability density…

A: Given Y follow normal distribution and its probability density function is shown below…