Solutions for the Geometric Distribution problems.

Problem 1.

    2. =.469

And we need to find the minimal k so that .

When we try k=1, 2, 3, 4, we see that the answer is k=4.

Problem 2. Here X~Geometric(.25)

  1. P(X=7)= (.756 ) .25= .044
  2. From the cdf formula we get
1-.177=.823

The answer is =.177.