Statistics

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We are given this table which is Benford law for these questions they are used for filling your taxes:

k= p(X=k)
1 0.301
2 0.176
3 0.125
4 0.097
5 0.079
6 0.067
7 0.058
8 0.051
9 0.046

1.) If you select two numbers randomly from any where on your taxes what is the probability of selecting a number that starts with 2 and a number that starts with 5 in any order

2.) If you randomly select a number on your taxed what is the probability that it will NOT begin with a number 4?

3.) If you select three numbers randomly from anywhere on your taxes what is the probability that all three numbers starts with the number 1 OR that none of the numbers start with the number 1?

Please show work I want to understand how to do these..

  • Statistics -

    1) If I am looking at this correctly, I don't see any number that starts with 2, but I see one number that ends with 5 You probability is .079

    2) I don't see any number beginning with 4. The probability that it won't be a 4 is the sum of all of the probabilities in your list which should = 1.

    3) I don't see numbers starting with 1. I only see 2. So, the problem says that all 3 numbers start with 1. I would have to say 0.

    You can add up all of the probabilities of the numbers that don't start with one.

    Or you can add up the probabilities for the two numbers that do start with 1 and subtract it from 1.

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