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= 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.
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= 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.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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
Show that k = if P(X = x) is a probability distribution function of discrete
i.
34
random variable X.
1
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bafb659-69f4-4c18-b4fe-e4f11ad7116c%2F98af15c3-fdb5-4ee4-b57e-f8cdadfd5301%2F0dcrqp_processed.png&w=3840&q=75)
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
Show that k = if P(X = x) is a probability distribution function of discrete
i.
34
random variable X.
1
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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