Suppose Y is a random variable that follows an (a, b, 1) distribution. You are given: P = 0.2 %3D 1.45455 P6 = 1.64706 P %3D 7 Calculate the expected value of Y, EY.

Q: Two random variables have expected values E[X] = 0.6 and E[Y] = 0.2 and E[XY] = 1.2. Are X and Y…

A:

Q: Find the expected value for the random variable

A:

Q: Suppose x is a random variable best described by a uniform probability distribution with c= 15 and d…

A: Given: X  is a random variable best described  by  Uniform  probability distribution with c= 15 and…

Q: Calculate the expected value E(X) of the given random variable X. X is the lower number when two…

A: Two dices are rolled.

Q: Question 2 et Y~ B(n = 2,p=0.5). 1. Construct the probability distribution table for Y. k P(Y = k) =…

A: Given that  Y~binomial (n,p) n=2 , p=0.5

Q: Which Is a discrete random varlable? )x = "welght of the microprocessor Inside your computer" DY =…

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: Calculate the expected value E(X) for the given random variable X. Select 13 cards without…

A: From the provided information, Total cards in standard deck = 52 13 cards selected without…

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

A:

Q: Suppose x is a normally distributed random variable with u = 31 and o = 6. Find a value xo of the…

A:

Q: Suppose X is a random variable with the following distribution: xi 1 2 5 10 pi 0.4 0.3 0.2…

A: the expected value of X is given by the formula EX=∑ixipi substitute the values…

Q: 3.12 Let Y be a random variable with p(y) given in the accompanying table. Find E(Y), E(1/Y),…

A:

Q: 3. Let X and Y be two Binary random variables with joint probability distribution: x = 0 x = 1 0.2…

A: The joint probability density function is given as- fx,y x=0 x=1 y=0 0.2 0.4 y=1 0.1 0.3

Q: Let X and Y be two random variables and E(Y) 1. Which one of the following is true about E(Y|X)? a.…

A: Solution

Q: Find the expected value for the random variable: X 1 2 4 P(X) 0.21 0.25 0.11 0.43 E(X) =

A:

Q: Consider the three normal random variables Y Ν(μ-0,σ?4) , Y , Ν (μ Y3 ~ N(µ = -3, o² = 3). Find the…

A:

Q: What value of the x axis marks the top 25% of the distribution?

A: Given:  Let x be a normally distributed random variable with the following parameter: mu=125…

Q: The combined probability of the random variable X and Y is given below: a. Find the value of the…

A: Given: f(x,y)=cxy0<x<2       o<y<x0otherwise (a) Value of constant c: ∫02∫0xcxy dy…

Q: Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is…

A:

Q: Find the expected value for the random variable:     X     1       2       4       6   P(X)   0.16…

A: Given data,   E(X)=?

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!