1.

A biased coin with probability of getting head is twice that of tail, is tossed 4 times If a random variable X is number of heads obtained, then expected value ofX is :

Answer»

` ( 2 ) /(3 ) `
` (8 ) /(3) `
`2`
` (16 ) /(3) `

Solution :LetX is number of heads OBTAINED
` p = (2)/(3)` probability of GETTING head
`q = (1)/(3)` probability of getting tail.


`E(x)= Sum xi pi`
` = 0 (1)/(3^(4)) + 1XX (8)/(3^(4)) + 2 x(24)/(3^(4)) +4 xx (16)/(3^(4)) = (216)/(81)=(8)/(3)`` E (x)= (8)/(3)` .


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