Question

We provided the rule of thumb that the normal approximation to the binomial distribution is adequate...

We provided the rule of thumb that the normal approximation to the binomial distribution is adequate if p ± 3

pq
n

lies in the interval (0, 1)—that is, if 0 < p − 3

pq
n

    and    p + 3

pq
n

< 1,

or, equivalently,

n > 9 (larger of p and q/smaller of p and q)

(a) For what values of n will the normal approximation to the binomial distribution be adequate if p = 0.5?.

(b) Answer the question in part (a) if p = 0.7, 0.2, 0.1, 0.8, 0.94, and 0.005. (Round your answers up to the nearest whole number.)

p = 0.7   n >

p = 0.2.   n >

p = 0.1      n >

p = 0.8 n >

p = 0.94 n >

p = 0.005 n >

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