Probability

Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].

Find the mean and variance of XY.

E[XY]=

- unanswered



var[XY]=

- unanswered

Find the probability that XY≥1. Enter a numerical answer.

P(XY≥1)=

- unanswered

  1. 👍 0
  2. 👎 0
  3. 👁 377
  1. 1
    7/9
    0.40343

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. probability

    Let X and Y be independent random variables, each uniformly distributed on the interval [0,1]. Let Z=max{X,Y}. Find the PDF of Z. Express your answer in terms of z using standard notation. For 0

    asked by JuanPro on March 28, 2014
  2. Probability

    The random variable X is uniformly distributed over the interval [θ,2θ]. The parameter θ is unknown and is modeled as the value of a continuous random variable Θ, uniformly distributed between zero and one. Given an

    asked by A on April 3, 2014
  3. statistics

    Is Independent variable Depression categorical nominal or ordinal or continuous variables (interval or ratio) Answer: ordinal Is Independent variable College Life(academic and social) nominal or ordinal or continuous variables

    asked by Petra on November 25, 2017
  4. math, probability

    Let X and Y be independent random variables, uniformly distributed on [0,1] . Let U=min{X,Y} and V=max{X,Y} . Let a=E[UV] and b=E[V] 1. Find a 2. Find b 3. Find Cov(U,V) . You can give either a numerical answer or a symbolic

    asked by anon on August 31, 2019
  5. statistics

    the random variable x is known to be uniformly distributed between 70 and 90. the probability of x having a value between 80 to 95 is

    asked by Anonymous on December 6, 2011
  1. math

    We are given a stick that extends from 0 to x . Its length, x , is the realization of an exponential random variable X , with mean 1 . We break that stick at a point Y that is uniformly distributed over the interval [0,x] . 1.

    asked by ram121 on April 18, 2020
  2. probability

    For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between −1 and 1. Let

    asked by juanpro on April 22, 2014
  3. Probability

    We are given a stick that extends from 0 to x . Its length, x , is the realization of an exponential random variable X , with mean 1 . We break that stick at a point Y that is uniformly distributed over the interval [0,x] . Find

    asked by Alpha on April 19, 2020
  4. probability

    When you enter your bank, you find that there are only two tellers, both busy serving other customers, and that there are no other customers in line. Assume that the service times for you and for each of the customers being served

    asked by Brian on November 26, 2018
  5. probability

    Let 𝑋 and 𝑌 be independent continuous random variables that are uniformly distributed on (0,1) . Let 𝐻=(𝑋+2)𝑌 . Find the probability 𝐏(ln𝐻≥𝑧) where 𝑧 is a given number that satisfies 𝑒^𝑧

    asked by yyyyz on July 28, 2019
  6. Probability

    Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and variance r. The random variables Xi are independent and identically distributed with mean b and variance

    asked by A on April 20, 2014

You can view more similar questions or ask a new question.