Answer Happy

2. The Birthday Problem: A statistics class has 40 (unrelated) students. a) The number of different ways 2 people can have birthdays (given that there are 365 days in a year) is 365*365 = 365. How many ways can 40 students have birthdays? To compute 365* in excel, type "=POWER(365,40)". ANSWER: 3.1 E102 b) Use the permutation rule to determine how many ways the 40 students all have DIFFERENT birthdays? 2430 c) Use (a) and (b) to compute the probability that no two people share the same birthday (that is, everyone has a different birthday): d) Use the Law of Complements to compute the probability that at least 2 people share a common birthday PART C- Combinatorics: Recall that the Combinations Rule gives the number of ways of selecting items from a collection on n distinct items (where the order does not matter). The formula for computing this is.C = n1/[(n-r)lr). For example, in Excel, sc, can be computed by clicking in an empty cell and typing "=COMBIN(5,2)". Type this now and verify the result equals 10. Fill in the blanks using "=COMBIN(n,r)" in Excel: 1. In a lottery, 6 distinct numbers will be chosen from 1 to 42. How many lottery combinations are possible? That is compute C= _5245786 2. From #1, if you buy one lottery ticket, what is the probability you will win?