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 9 right parenthesisP(more than 9) with nequals=12 and pequals=0.4 by using the normal distribution as an approximation to the binomialdistribution; 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 9 right parenthesis P(more than 9)equals=nothing

(Round to four decimal places as needed.)

B.

The normal distribution cannot be used.

Explanation / Answer

n = 12

p = 0.4

np = 12*0.4 = 4.8 < 5

hence

B.

The normal distribution cannot be used is correct

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