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

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

and p + 3

< 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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