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a) Xis a random variable with a probability distribution given as below X adalah pembolehubah rawak dengan taburan kebarangkalian seperti di bawah P(X = x) =k(x² +1); x=1,2,3,4 i. Show that k = if P(X = x) is a probability distribution function of discrete 34 random variable X. Tunjukkan bahawa k= 1 sekiranya P(X = x) adalah fungsi taburan 34 kebarangkalian bagi pembolehubah rawak diskrit X. ii. Based on the value in part (i), find the variance of the random variable X. Berdasarkan nilai dalam bahagian (i), cari varians bagi pembolehubah rawak X.

a) Xis a random variable with a probability distribution given as below X adalah pembolehubah rawak dengan taburan kebarangkalian seperti di bawah P(X = x) =k(x² +1); x=1,2,3,4 i. Show that k = if P(X = x) is a probability distribution function of discrete 34 random variable X. Tunjukkan bahawa k= 1 sekiranya P(X = x) adalah fungsi taburan 34 kebarangkalian bagi pembolehubah rawak diskrit X. ii. Based on the value in part (i), find the variance of the random variable X. Berdasarkan nilai dalam bahagian (i), cari varians bagi pembolehubah rawak X.

A First Course in Probability (10th Edition)
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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a) X is a random variable with a probability distribution given as below X adalah pembolehubah rawak dengan taburan kebarangkalian seperti di bawah P(X = x)=k (x² +1); x=1,2,3, 4 i. Show that k = - if P(X = x) is a probability distribution function of discrete 34 random variable X. Tunjukkan bahawa k= sekiranya P(X = x) adalah fungsi taburan 34 kebarangkalian bagi pembolehubah rawak diskrit X. ii. Based on the value in part (i), find the variance of the random variable X. Berdasarkan nilai dalam bahagian (i), cari varians bagi pembolehubah rawak X.
Transcribed Image Text:a) X is a random variable with a probability distribution given as below X adalah pembolehubah rawak dengan taburan kebarangkalian seperti di bawah P(X = x)=k (x² +1); x=1,2,3, 4 i. Show that k = - if P(X = x) is a probability distribution function of discrete 34 random variable X. Tunjukkan bahawa k= sekiranya P(X = x) adalah fungsi taburan 34 kebarangkalian bagi pembolehubah rawak diskrit X. ii. Based on the value in part (i), find the variance of the random variable X. Berdasarkan nilai dalam bahagian (i), cari varians bagi pembolehubah rawak X.
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