Suppose that we want to use the normal approximation to the binomial distribution to determine b(1; 150, 0.05).  (a) Based on the rule of thumb on page 192 (A good rule of thumb is to use this approximation only when nθ and n(1 − θ) are both greater than 5), would we be justified in using the

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Suppose that we want to use the normal approximation to the binomial distribution to determine b(1; 150, 0.05). 

(a) Based on the rule of thumb on page 192 (A good rule of thumb is to use this approximation only when nθ and n(1 − θ) are both greater than 5), would we be justified in using the approximation? 

(b) Make the approximation and round to four decimals. 

(c) If a computer printout shows that b(1; 150, 0.05) =  0.0036 rounded to four decimals, what is the percentage  error of the approximation obtained in part (b)?

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