Question

Generate 1, 000 random 0/1 variables that model mutations occurring along a 1, 000 long gene sequence (use 1 to represent the mutation). Assume these mutations occur independently at a rate of 10^−4 each; that is, each variable is equal to 1 with probability 10^−4 .

Answer 1

We need to generate 1000 random 0/1 variables each with 1000 long gene sequence

So we need to take random sample from bernoulli distribution,

Here we assume that the mutations occur independently at a rate of 10^−4 each

Let X = 1 if the mutation is occur

Therefore p = P(X = 1 ) = 10^-4 = 0.0001

Let's do it in excel:

Click on Data >>>Data Analysis>>> Random number generation>>>OK

Put the required information, Look the following image for this

Then click on OK so we get the 1000 columns of 1000 0/1 values each.

Look the following output ( Not able to upload complete output)