An instructor who taught two sections of engineering statistics last term, the f

Question

An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. (a) What is the probability that exactly 10 of these are from the second section? (Round your answer to four decimal places.) 2172 (b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.) 4406 (c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.) 4532 Round (d what are the mean value and standard deviation of the number among these 15 that are rom the second section standard deviation to three decimal places.) mean standard deviation 1.665 our mean·to e nearest whole number and your projects projects 9.231 (e) What are the mean value and standard deviation of the number of projects not among these first 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean standard deviation 1.665 x projects projects 5.789

Explanation / Answer

e.

we ahve to find the mean and SD of the number of the projects not among these 15 that are from the second section.

Let Y be the no. of projects not among first 15 that are from the econd section.

Y=15-X

Mean of Y =E(Y)=E(15-X)

=E(15)-E(X)

=15-9.231

=5.769 Hope this will be helpful. Thanks and God Bless you :-)

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