Question

Can the following table be a probability distribution?_xx | P (X) P (x) _ 1 | 0.1168 _ 2 | 0.2488 _ 3 | 0.1984 _ 4 | 0.312 _ 5 | 0.0168

Answer 1

To find:

Whether the table shows a probability distribution.

SOlution:

It is known that a table the probability of an element in probabilty distribution table lies between 0 and 1 including both the numbers. Also the sum of all probabilities is equal to 1.

In the given table, each probability lies between 0 and 1. The sum of all probabilities is 0.8928.

Thus, the table cannot be probability distribution. The answer is no.