A coin is tossed 5 times. If X is the number of heads observed, fid the probability distribution of X.

Answer

N/a

Explanation

Here `n=3`
Probability of getting a head on one coin
`p=1/2`
`:.q=` probability of not getting a head `=1-p`
`impliesq=1-1/2=1/2`
`P(X=0)=.^(3)C_(0)p^(0).q^(3)=1xx1xx(1/2)^(3)=1/8`
`P(X=1)=.^(3)C_(1).p^(1).q^(2)=3xx1/2xx(1/2)^(2)=3/8`
`P(X=2)=.^(3)C_(2).p^(2).q^(1)=3xx(1/2)^(2)xx1/2=3/8`
`P(X=3)=^(3)C_(3).p^(3).q^(0)=1xx(1/2)^(3)=1/8`
Therefore probability distribution is: