probabilities

The random variable X has the Poisson distribution with parameter λ > 0. According
to Chebeyshev’s Theorem, P(s < X < 99) ≥ 3/4.
1. Determine the value of k in the Chebeyshev’s inequality.
2. Determine the value of s

  1. 👍 0
  2. 👎 0
  3. 👁 99
asked by hassan
  1. Consider a binomial random variable X with parameters n = 100 and p = 0.1, and
    let Y be a Poisson random variable with E(Y ) = 2. Suppose that V ar(X+3Y ) = 21.
    1. Find E(X), V (X) and V (Y ).
    2. Determine E(X + 3Y ) and deduce E[(X + 3Y )
    2
    ].
    3. Find Cov(X, Y ). Are X and Y independent ? Justify

    1. 👍 0
    2. 👎 0
    posted by hassan

Respond to this Question

First Name

Your Response

Similar Questions

  1. probablity

    In this problem, you may find it useful to recall the following fact about Poisson random variables. Let X and Y be two independent Poisson random variables, with means λ1 and λ2, respectively. Then, X+Y is a Poisson random

    asked by Anonymous on December 16, 2018
  2. probablity

    Let X and Y be two independent Poisson random variables, with means λ1 and λ2, respectively. Then, X+Y is a Poisson random variable with mean λ1+λ2. Arguing in a similar way, a Poisson random variable X with parameter t, where

    asked by Anonymous on December 23, 2018
  3. Statistics and Probability

    Suppose you took 1000 random samples of size 200 from the Poisson distribution with u = 5 and computed a 90% confidence interval for each sample. Approximate the probability that at least 920 of these intervals would contain the

    asked by Adam on March 27, 2011
  4. Statistics and Probability

    Suppose you took 1000 random samples of size 200 from the Poisson distribution with u = 5 and computed a 90% confidence interval for each sample. Approximate the probability that at least 920 of these intervals would contain the

    asked by Adam HELP PLEASEEE on March 26, 2011
  5. statistics

    Identify the given item as probability distribution, continuous random variable, or discrete random variable. The amount of time that an individual watches television. a. discrete random variable b. probability distribution c.

    asked by maczindahouse on February 20, 2019
  6. probability

    A fair coin is flipped independently until the first Heads is observed. Let K be the number of Tails observed before the first Heads (note that K is a random variable). For k=0,1,2,…,K, let Xk be a continuous random variable

    asked by JuanPro on March 28, 2014
  7. Probability and statistics

    1. In a City, out of 20000 news paper subscribers, exactly 5000 subscribe to The Hindu. An advertising firm surveys 500 different subscribers of these 20000 subscribers. The random variable X = the number of The Hindu subscribers

    asked by Arun on March 2, 2012
  8. statistics

    two dices are tossed once. let the random variable be t he sum of the up faces on the dice. A). find and graph the probability distribution of the random variable. and b) calculate the mean (or expectation) of this distribution

    asked by sharik on May 22, 2011
  9. math prob

    It is known that the number of people who enter a bank during a time interval of t minutes is a Poisson random variable with the parameter t. The bank opens at 8am and you arrive at the bank at uniformly random time between 8am

    asked by hsuan on May 4, 2013
  10. math

    It is known that the number of people who enter a bank during a time interval of t minutes is a Poisson random variable with the parameter t. The bank opens at 8am and you arrive at the bank at uniformly random time between 8am

    asked by hao on May 3, 2013

More Similar Questions