(H Sun N. View History Bookmarks People Window Help Fall 2017-AECO x eco320,1 tp

Question

(H Sun N. View History Bookmarks People Window Help Fall 2017-AECO x eco320,1 tps /blackboard.albany p ).. D eco320-150-mid2yert-S0.DXy D eco320,slide05.pdf pid-2851942-dt-content-rid-13771983.1/courses/2179-AECO-320-s0039-XLIST COURSE/eco32 txperiments are independent Let Y be the number of successes from n binary experiments The probability distribution of Y can be descnbed by p the probability of success at each binary experiment n: the number of binary experiments - Then we write YBinomial(n, p) Exam ple: Midterm Exam There are 20 que st ions Probabiy of choosing the correct answer is 20% for each question All questons are ndependent What sthe probabi lity that you get 2 points from the exam? (a) 20% (b) 40% (c)4% (d) 2% (e)137% 5

Explanation / Answer

The probability of getting 2 (Assuming each question bears 1 mark)=20C2*(0.2)2*(1-0.2)(20-2)

=20!/(2!*18!) *0.04*(0.8)18

=190*0.04*0.018

=0.1368 =13.70%

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