Originally Posted by

**bart123456** hey

I'm stuck on one of the question in our online test in statistics:

Suppose that X ε [1,2,..., ] is discrete random variable that follows a geometric distribution with mean 3.74.

What is the probability that X is an even number?

Give your solution accurate to 4 decimal places.

my idea was:

from geometric sequence:

x=1/theta

so:

3.14=1/theta -> theta=0.26737968

and then use P(X=x)=(1-theta)^x-1 * theta

to get P=0.1373945

however don't know if that's what the question is asking about (i.e what is the 'successs' in this geometric distribution, number being even?) another idea was to put:

P(X=2x), if that makes any sense, to account for the number being even however don't know how to go from there

any thoughts?

would appreciate any help