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The expected value of the number of head...

The expected value of the number of heads obtained when three coins are tossed simultaneously is .....

A

1

B

`1*5`

C

0

D

`-1`

Text Solution

Verified by Experts


Expected value `overset(n)underset(i=1)sum x_(i)p_(i)`
`=0xx(1)/(8)x+1xx(3)/(8)+2xx(3)/(8)+3xx(1)/(8)`
`E(x) =(3)/(8)+(6)/(8)+(3)/(8)=(12)/(8)`
`=(6)/(4)=1*5`
Hence, correct answer from the given alternatives is (b)
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