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.

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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