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The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of at least 2 successes is 

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a
37/256
b
247/256
c
128/256
d
219/256

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detailed solution

Correct option is B

Given that np=4, npq=2⇒q=12,p=12,n=8P(x≥2) = 1-P(x<2)=1−[P(x=0)+P(x=1)]=1−128 8C0+8C1=247256    ( formula  Px=r=Cn,r qn-rpr


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If for a Binomial distribution  the mean is  10 and the standard deviation is 5  then  P (x = r) =


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