Hi, I am taking a statistics course, I have two problems I don't know how to do, if you are good in stat, can you please explain how to do the problems? Thanks!
1. How many permutations of 8 things are there with at least one fixed-point? That is, how many permutations P of 8 things are there so that there is at least one index i in the range 1<=i<=8 such that P(i)=i?
2. There are 4 red balls and 6 blue balls in an urn. You draw repeatedly (with replacement). What is the expected number of draws necessary so that you'll have drawn at least one ball of each color?
Please help, I am really having trouble with this stat course, thanks!
1. How many permutations of 8 things are there with at least one fixed-point? That is, how many permutations P of 8 things are there so that there is at least one index i in the range 1<=i<=8 such that P(i)=i?
2. There are 4 red balls and 6 blue balls in an urn. You draw repeatedly (with replacement). What is the expected number of draws necessary so that you'll have drawn at least one ball of each color?
Please help, I am really having trouble with this stat course, thanks!
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