Question

The following distribution is not a probability distribution because

x
-5
-4
-3
-2
P(x) 0.08 0.23 0.44 0.12 0.24
A) The values of x are negative
B) The probability values are not increasing
C The probability values do not add to 1
D) The probability values are not discrete

Answer 1

C The probability values do not add to 1

Explanation:

Given

The above table

Required

Why is it not a probability distribution

In probability, the sum of all probabilities must equal 0.

But in this case:

`\sum P(x) \\e 0`

Because:

`0.08 + 0.23 + 0.44 + 0.12 + 0.24 \\e 0`

`1.11 \\e 0`

Hence:

Option (c) answers this question