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If X follows a binomial distribution with parameters `n=8` and `p=1//2`, then `p(|X-4|le2)` equals

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If X follows a binomial distribution with parameters n=8 and p=1/2 , then p(|X-4|≤2) equals A. 118 128 B. 119 128 C. 117 128 D. none of these Select the correct answer from above options

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Correct Answer - B We have, P ( | X − 4 | ≤ 2 ) = P ( − 2 ≤ X − 4 ≤ 2 ) = P ( 2 ≤ X ≤ 6 ) P = P ( X = 2 ) + P ( X = 3 ) + P ( X = 4 ) + P ( X = 5 ) + P ( X = 6 ) = = . 8 C 2 ( 1 2 ) 8 = + . 8 C 3 ( 1 2 ) 8 + . 8 C 4 ( 1 2 ) 8 + . 8 C 5 ( 1 2 ) 8 + . 8 C 6 ( 1 2 ) 8 = 1 2 8 { 28 + 56 + 70 + 56 + 28 } = 238 2 8 = 119 128 1

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