3) A discrete random variable X has the following probability distribution:12345.7P(X)K2K2KЗКK22K27K2+KFind the value of K. Also find the mean and variance of the distribution.

We want to find k, mean and variance.

Answered: 3) A discrete random variable X has the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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At a casino, one lucky player is blindfolded and allowed to pick 5 bills from a bowl containing 25 bills. The bowl contains 6 one hundred dollar bills, 3 fifty dollar bills, and the rest of the bills of various other denominations. The probability is _________________ that exactly 3 one hundred dollar bills will be chosen. Find the variance for the number of one hundred dollar bills that can be chosen. Variance: ______________________
P(0)= 0.2, P(2)= 0.3, P(4)=0.3, P(6)=0.2 10. What is the variance of the probability distribution?* A. 4.5 B. 4.3 C. 4.2 D. 4.6
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Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) Is X a discrete or continuous random variable? How do you know? (b) What are the possible values of X? (c) Does X follow a distribution that we covered in class? If so, how do we know? Properly label the distribution.
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Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.

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3) A discrete random variable X has the following probability distribution: 1 2 4 6. 7 P(X) K 2K 2K 3K K2 2K2 7K2+K Find the value of K. Also find the mean and variance of the distribution.