If np5 and nq5 estimate the Pmore than4 with n14 and p03 by

If np>5 and nq>5, estimate the P(more than4) with n=14 and p=0.3 by using the normal distribution as an approximation to the binomial distribution, if np<5 ornq<5, then state that the normal approximation is not suitable. A. P(more than 4) - and B. the normal distribution cannot be used.

Solution

As

np = 14*0.3 = 4.2 < 5
nq = 14*(1-0.3) = 9.8

As np < 5, then THE NORMAL DISTRIBUTION CANNOT BE USED. [ANSWER, OPTION B]