If npgreater than or equals5 and nqgreater than or equals5, estimate Upper P lef

Question

If npgreater than or equals5 and nqgreater than or equals5, estimate Upper P left parenthesis more than 8 right parenthesis with n=12 and p=0.7 by using the normal distribution as an approximation to the binomial distribution; if npless 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.Upper P left parenthesis more than 8 right parenthesisP(more than 8)equals=____

(Round to four decimal places as needed.)

B.The normal distribution cannot be used.

Explanation / Answer

Here

np = 12 *0.7 = 8.4

and

nq = n(1-p) = 12*(1-0.7) = 3.6

Since nq < 3.6 so normal approximation is not suitable.

Option "B.The normal distribution cannot be used." is correct.

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