Question

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 >

Answer 1

Please rate, If it is really helps you. Thank you.