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Let a random variable X have a binomial ...

Let a random variable X have a binomial distribution with mean 8 and variance 4. If `P(x le2)=(k)/(2^(16))`, then `(k-47)/(10)` is equal to __________.

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The correct Answer is:
9
`np=8" npq = 4 "q=(1)/(2)" "p=(1)/(2)=n=16`
`rArr" "p(x le2)=p(0)+p(1)+p(2)=(1)/(2^(16))+(16)/(2^(16))+(.^(16)C_(2))/(2^(16))=(1+16+120)/(2^(16))=(137)/(2^(16))=(k)/(2^(16))rArr k=137`
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