22:10 .1 Aternative 2) Suppose the probablity that a student finally gpes to gra

Question

22:10 .1 Aternative 2) Suppose the probablity that a student finally gpes to graduate schoolS .4. And there are 100 studene in the class AMS 102. Suppese the decision of one tuden net affect the decision made ty another student, which mewns students ake their de ndependently Please calculate (you do not need to give a concrete number You onled put the 0rmdat '15 points, 3 for each making of each neva". student of students who go to the graduate school . Please give the formula of PS" for the total mber of student who go toth, Fad school - Please give the formula of COF for the total munber off student who go to the gradate the random variable we uned in ths cane dscrete ar continuoun

Explanation / Answer

n = No. of students in the school = 100

p = Probability that the student will graduate = 0.4

Q1 and Q2:

The number of students are fine

Probability of graduating is 0.4 and not graduating is 0.6

All decisions are independent

So, this is a Binomial Random Variable'

Q3:

PMF: C(100,r)*(0.4)^r*(0.6)^100-r

Where r is the number of people graduating

Q4:

CDF:

F(r;p,n)= C(100,i) * (0.4)^i * (0.6)^100-i

is from i=0 to i=r

Where r is the number of people graduating

Q5:

Binomial DIstribution is a discrete distribution so this random variable is a discrete random variable

Let me know if you need anything else, if not please don't forget to like the answer :)

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