An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 35, 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.) (b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.) (c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.) (d) What are the mean value and standard deviation of the number among these 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean Incorrect: Your answer is incorrect. projects standard deviation Incorrect: Your answer is incorrect. projects (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 projects standard deviation projects
a)probability that exactly 10 of these are from the second section= =0.1834
b) probability that at least 10 of these are from the second section =
=0.3281
c)
probability that at least 10 of these are from the same section
=P(at least 10 from first section)+P(at least 10 from second section)=0.3532 ( please try 0.3531 if this comes wrong)
d)mean value =nk/N =15*35/60=8.75 ~9
std deviaiton=sqrt(nk/N*(1-k/N)*(N-n)/(N-1))=1.668
e)
mean value =15-9 =6
std deviation =1.668
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