Permutations and probability distributions


Assignment:

Q1. You dream of someday winning the lottery (don't we all). You found out about a new lottery where the winning numbers are five different numbers between 1 and 34 inclusive. To win the lottery, you must select the correct 5 numbers in the same order in which they were drawn. According to your calculations, the probability of winning are:

  • 1/33,390,720
  • 1/120
  • 120/33,390,720
  • 1/34!

Q2. If a person is randomly selected from your home town, the probability distribution for the number x, of siblings is as described in the following table: Is this a probability distribution? Please state the reason for your answer (the requirement that was met or not met) (Hint: The answer I am looking for has to do with the sum of the numbers)

X

P(x)

0

0.24

1

0.29

2

0.24

3

0.12

4

0.06

5

0.03

 

 

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Basic Statistics: Permutations and probability distributions
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