(Please show work) If np is greater than or equals 5 and nq is greater than or e

Question

(Please show work)

If np is greater than or equals 5 and nq is greater than or equals 5, estimate P(more than 9) with n equals 12 and p equals 0.7 by using the normal distribution as an approximation to the binomial distribution; if n pless than 5 or nqless than 5, then state that the normal approximation is not suitable.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. P ( more than 9) equals ______ (Round to four decimal places as needed.)

B. The normal distribution cannot be used.

Explanation / Answer

answer

If np is greater than or equal to 5 and nq is greater than or equal to 5 estimate P (more than 7) n=11 and p=.4 by using normal distribution as an approximation to the binomial distribution. If np<5 or nq<5, then state that the normal approximation is not suitable.
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np = 12*0.7 = 8.4

nq = 12*0.3 = 3.6
The normal approximation is not suitable.

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