Determine the required value of the missing probability to make the distribution a discrete distribution.

x	P(x)
3	0.23
4	?
5	0.44
6	0.17

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We have to find the missing value of the probability.

The properties of a probability distribution are

0 ≤ P(x) ≤ 1

ΣP(x) = 1

All the probability values are more than 0 and less than 1.

Now, ΣP(x) = 1

P(3) + P(4) + P(5) + P(6) = 1

0.23 + P(4) + 0.44 + 0.17 = 1

0.84 + P(4) = 1

P(4) = 1 - 0.84

P(4) = 0.16

Therefore, the value of the missing probability is 0.16

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Determine the required value of the missing probability to make the distribution a discrete distribution.

Summary:

The required value of the missing probability to make the distribution a discrete distribution is 0.16