SOLUTION: If np ≥ 5 and nq ≥ 5, estimate P(fewer than 7) with n = 14 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np

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Question 1182745: If np ≥ 5 and nq ≥ 5, estimate P(fewer than 7) with n = 14 and p = 0.5 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.
Select the correct choice below and, if necessary, fill in the blank to complete your choice.
A. P(fewer than 7) = __
(Round to four decimal places as needed.)
B. The normal approximation is not suitable.
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
normal is suitable
np=7 mean
np(1-p)=3.5=variance
sd=sqrt(V)=1.87
z <=(6.5-7)/1.87, using continuity correction factor
z <=-0.5/1.87
=-0.2673
probability is 0.3946, using the normal approximation.
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The exact value is 0.3953

SOLUTION: If np ≥ 5 and nq ≥ 5​, estimate P(fewer than 7) with n = 14 and p = 0.5 by using the normal distribution as an approximation to the binomial​ distribution; if np < 5 or nq

SOLUTION: If np ≥ 5 and nq ≥ 5, estimate P(fewer than 7) with n = 14 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq