SOLUTION: In a group of students, 40% of them said they watch more than three hours of television on a typical school day. What is the probability that more than 86 of the students in a rand

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Question 1189215: In a group of students, 40% of them said they watch more than three hours of television on a typical school day. What is the probability that more than 86 of the students in a random sample of 200 watches more than three hours of television on a typical school day?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
normal approximation to binomial
mean is 80=np
variance is 48=np(1-p)
sd=sqrt(V)=6.93
probability more than 86 is z > (86.5-80)/6.93, using continuity continuation factor.
z>0.9379 which is probability 0.1741

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