Question

Verify that the following function is a probability mass function, and determine the requested probabilities.

f(x) = (216/43)(1/6)^x, x = {1, 2, 3}
Round your answers to four decimal places (e.g. 98.7654). Is the function a probability mass function?
(a) P(X lessthanorequalto 1) =
(b) P(X > 1) =
(c) P(2 < X < 10) =
(d) P(X lessthanorequalto 1 or X > 1) =

Answer 1

Yes it is a probability mass function

a. 0.8372

b. 0.1628

c. 0.0233

d. 1

Step-by-step explanation:

To determine if it is a probability mass function, we make use of a substitution.

Please check attachment for complete solution and step by step explanation