(i) Find k
Since X is a random variable ,
its Sum of Probabilities is equal to 1
P(X = 0) + P(X = 1) + P(X = 2) = 1
k + 2k + 3k = 1
6k = 1
k = š/š
Our probability distribution table is
P(X < 2) = P(X = 0) + P(X = 1)
= k + 2k
= 3k
= 3 Ć š/š
= š/š
(iii) Find P (X > 2)
Given š(š)={ā (š," if " š„=0@2š," if " š„=1@3š," if " š„=2@ā(0," otherwise" @" " ))ā¤
For value of X other than 0, 1 and 2,
the P(X) = 0
P(X > 2) = P(X = 3) + P(X = 4) + ā¦ā¦
= 0 + 0 + ā¦..
= 0
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Davneet Singh
Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
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