A discrete random variable X has a probability mass function P given by P(X=x)= { kx , for x=1,2,3,4 k(8-x), for x=5,6,7 0 , otherwise } Find i)The value of the constant k ii)P(3 is less X and 5 is less than or equal to 5) iii)The mean of X iv)The mean of Y=4X-5

A discrete random variable X has a probability mass function P given by P(X=x)= { kx , for x=1,2,3,4 k(8-x), for x=5,6,7 0 , otherwise } Find i)The value of the constant k ii)P(3 is less X and 5 is less than or equal to 5) iii)The mean of X iv)The mean of Y=4X-5

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

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Question

A discrete random variable X has a probability mass function P given by

P(X=x)=

{ kx , for x=1,2,3,4

k(8-x), for x=5,6,7

0 , otherwise }

Find

i)The value of the constant k

ii)P(3 is less X and 5 is less than or equal to 5)

iii)The mean of X

iv)The mean of Y=4X-5

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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