cGraw-Hill Connect Ma X w-awh.connectmath.com/alekscgitAsl.exe/1o u-IgNslkr78 on

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cGraw-Hill Connect Ma X w-awh.connectmath.com/alekscgitAsl.exe/1o u-IgNslkr78 onnect IMATH Copy of Homework 5.3 ALTKS Cep Next Previous 2 3 5 5.3 Section Exercise 10 (calc) Question 2 of 5 (1 point) View Rroblemin. a.pop-up Approximately 10.3% of American high school students drop out of school before graduation. Assume the variable is binomial. Choose 7 students entering high school at random. Find the probabilities. Round the answers to four decimal places. Source: www.infoplease.com As Part 1 out of 3 At least 3 graduate P (at least 3 graduate)- Subr

Explanation / Answer

Let X denote the number of dropouts. Probability of atleast 3 graduates is same as 1-P(X>4).

Given that X follows a binomial dist. Let p denote the probability of a student dropping the course .

p=0.103.

P(X)=nCxpx(1-p)n-x

P(X>4)=p(X=5)+P(X=6)+P(X=7)

   =7C5*0.1035*0.8972+7C60.1036*0.897+7C7*0.1037

P(X<=4)=1-P(X>4)=0.9997

Therefore, the probability that the number of graduates is atleast 3 is same as the probability that the number of dropouts is less than or equal to 4 which is 0.9997.

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