1 Determine whether the following are valid probability dist

1) Determine whether the following are valid probability distributions or not. Type \"VALID\" if it is valid, or type \"INVALID\" if it is not a valid probability distributions.

(a)

answer:

(b)

answer:

(c)

answer:

Solution

a)

Probabilities 0.6 + 0.2 + 0.1 + 0.1 = 1
And all probabilities are positive

So, VALID

b)

1/(5x)
First term, a1 = 1/5

1/5(1 + 1/2 + 1/3 + 1/4 + .... )
This summation diverges to infinity

So, INVALID

c)

There is a negative value of probability, which is impossible

So, INVALID