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X is the random variable whose binomial distributionis.
Therefore,n= 6 and
It can be seen that P(X =x) will be maximum, ifwill be maximum.
The value ofis maximum. Therefore, forx= 3, P(X = x) is maximum.
Thus, X = 3 is the most likely outcome
2)in a binomial distribution mean=np,variance=npq
given np+npq=42 and n2p2q=360
solving above 2 equations we get p=3/5,q=2/5 and n=50
so binomial distribution is (3/5+2/5)50
Thanks and Regards
Shaik Aasif
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