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# 統計學的一個題目(急) binomial distribut

題目：

binomial distribution has parameters n=100 and p=0.5 Using the normal approximation to the binomial distribution what is the probability that the number of successes is more than 60 ?

小弟研究了很久,都無法順利解出

我的算法如下..

P(X>60)

=1-P(X<=60)

1-(1/2)^100 x SUM(i=0~60) C(100取x)

就解不下去了..

### 1 Answer

Rating

- 翻雷滾天 風卷殘雲Lv 77 years agoFavorite Answer
In using normal approximation to binomial distribution, the continuity correction of 0.5 should be used, therefore:

With μ = 50 and σ = 5, the required probability should be:

P(X >= 60.5) for "more than 60", which is equivalent to:

P[z >= (60.5 - 50)/5] = P(z >= 2.1)

= 0.0179

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