Problem#5: The Birthday Problem (10pts) In your classroom there are 45 students, assume that none of...

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Problem#5: The Birthday Problem (10pts) In your classroom thereare 45 students, assume that none of them is born on February 29,and hence consider only common years (365 days) [do not considerleap years]. 1- Take a student randomly from the class, what is theprobability that he have the same birthday as yours? 2- What is theprobability that there is at least one student in the class havingthe same birthday as yours? 3-What is the probability that there isno repeated birthday date in the class (all the 45 birthdays beingdifferent)? Comment on the value you found 4- The instructordecides to nominate 5 students randomly to deliver a presentationnext class, • How many groups (of five students) are possible? •What is the probability that you are among the selectedstudents?

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1 Probability that the student selected has the same birthdayas me is computed here as 1365 00027Therefore 00027 is the required probabilityhere2 Probability that there is at least one student in See Answer

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