If np5 and nq5 estimate Pmore than 7 with n14 and p07 by usi

If np5 and nq5, estimate P(more than 7) with n=14 and p=0.7 by using the normal distribution as an approximation to the binomial distribution; if np<5 or nq<5, then state that the normal approximation is not suitable

a.) P(more than 7)=___ (round to 4 decimal places as needed)

b.) The normal distribution cannot be used.

Please show all work!

Solution

Here, p = 0.7, q = 1 - p = 0.3.

np = 14*0.7 = 9.8 > 5
nq = 14*0.3 = 4.2 < 5

As nq < 5, then

OPTION B: The normal distribution cannot be used. [ANSWER]