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QUESTION IMAGE

complete the following probability distribution table: probability dist…

Question

complete the following probability distribution table: probability distribution table

xp(x)
-240.4
22
270.1
870.3

Explanation:

Step1: Recall probability - sum rule

The sum of all probabilities in a probability distribution is 1. Let the missing probability be $p$. Then $0.4 + p+0.1 + 0.3=1$.

Step2: Solve for the missing probability

First, simplify the left - hand side of the equation: $0.4+0.1 + 0.3 + p=0.8 + p$. Then, set $0.8 + p = 1$. Subtract 0.8 from both sides: $p=1 - 0.8$. So, $p = 0.2$.

Answer:

0.2