The American College of Obstetricians and Gynecologists reports that 32% of all births in the United States take place by Caesarian section each year. Consider a random sample of 10 births in US. a) Does the number of births in the sample that will take place by Caesarian section have a binomial distribution? Explain

b. What is the probability that exactly 5 births in the sample will take place by Caesarian section?

c. What is the probability that no more than 7 births in the sample will take place by Caesarian section

d.) What is the mean of births in the sample that will take place by Caesarian section? What is the standard deviation of the number of births in the sample that will take place by Caesarian section? Show your work.

e. ) If 6 births in the sample actually take place by Caesarian section, is this number considered unusual

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