This is an extension of the Birthday Problem. Suppose you have 500 Facebook friends. Make the...

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This is an extension of the Birthday Problem. Suppose you have500 Facebook friends. Make the same assumptions here as in theBirthday Problem.
a) Write a program in R to estimate the probability that, on atleast 1 day during the year, Facebooks tells you three (or more) ofyour friends shat that birthday. Based on your answer, should yoube surprised by this occurrence?
b) Write a program in R to estimate the probability that, on atleast 1 day during the year, Facebook tells you five (or more) ofyour friends share that birthday. Based on your answer, should yoube surprised by the occurrence? [Hint: Generate 500 birthdays withreplacement, then determine whether any birthday occurs three ormore times (five or more for part (b)). The table function in R mayprove useful.]

Answer & Explanation Solved by verified expert

4.3 Ratings (632 Votes)

It is given in the hint that for both the part of two questions first we have to generate 500 birthdaysThen we have to see the frequency table that how many birthdays occur 3 or more timesfor part a and how many are 5 or See Answer

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