In a family with 3 children, the probability that all the children are girls is approximately 0.125. In a random sample of 1000 families with 3 children, what is the approximate probability that 100 or fewer will have 3 girls? Approximate a binomial distribution with a normal distribution. The probability that 100 or fewer families will have 3 girls is (Round to four decimal places as needed.) ---

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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In a family with 3 children, the probability that all the children are girls is approximately 0.125.
In a random sample of 1000 families with 3 children, what is the approximate probability that
100 or fewer will have 3 girls? Approximate a binomial distribution with a normal
distribution.
The probability that 100 or fewer families will have 3 girls is
(Round to four decimal places as needed.)
Transcribed Image Text:In a family with 3 children, the probability that all the children are girls is approximately 0.125. In a random sample of 1000 families with 3 children, what is the approximate probability that 100 or fewer will have 3 girls? Approximate a binomial distribution with a normal distribution. The probability that 100 or fewer families will have 3 girls is (Round to four decimal places as needed.)
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