Question

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

x	p(x)
4	?
5	0.19
6	0.22

p(4) = \boxed{} (type an integer or a decimal.)

Explanation:

Step1: Recall discrete probability rule

For a discrete probability distribution, the sum of all probabilities must equal 1. Let the missing probability be \( p \). So, \( 0.32 + p + 0.19 + 0.22 = 1 \).

Step2: Simplify the left - hand side

First, calculate the sum of the known probabilities: \( 0.32+0.19 + 0.22=0.73 \). Then the equation becomes \( 0.73 + p=1 \).

Step3: Solve for \( p \)

Subtract 0.73 from both sides of the equation: \( p = 1 - 0.73=0.27 \).

Answer:

\( 0.27 \)