SOLUTION: Nine hundred draws will be made at random with replacement from the box containing the numbers 3,5,6,7,9. Estimate the chance that there will be more than 160 number 7's.

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Question 430290: Nine hundred draws will be made at random with replacement from the box containing the numbers 3,5,6,7,9. Estimate the chance that there will be more than 160 number 7's.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
p(7) = 1/5 = .2 q = .8
900 draws
mean = .2*900 = 180 7's expected
SD = sqrt(900*.55*.45) = 12
P(more than 160 7's) that is somewhat less than everything to the right of z = -2,
or (P = 98%)which would be P(more than 156 7's)
Estimate would be somewhat less than the .98 or 98%.


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