SOLUTION: Forty-three percent of marriages end in divorce. You randomly select 150 married couples. Find the probability that fewer than 70 of the marriages will end in divorce.

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Question 1161928: Forty-three percent of marriages end in divorce. You randomly select 150 married couples. Find the probability that fewer than 70 of the marriages will end in divorce.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
use a normal approximation
np=mean or 150*0.43=64.5
np(1-p)=variance or 64.5*0.57=36.765
sd is sqrt (V)=6.06
look for z <70 with the above. Continuity correction factor means start with 69.5
z< (69.5-64.5)/6.06=0.825
that probability of z<0.825 is 0.7953.