Consider the following discrete probability distribution. What is the probability that $x$ $x$ equals 7?

Question

X 3 4 7 9
P(X) 0.22 0.17 ? 0.18

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Answer 1 · 2017-02-27T18:23:21

$P (X = 7) = 0.43$ $P(X=7)=0.43$

The Probability Distribution of the Random Variable $X$ $X$ , is

We know that for any Probability Distribution:

$\sum P (X = x) = 1$ $sum P(X=x) = 1$

Hence;

$P (X = 3) + P (X = 4) + P (X = 7) + P (X = 9) = 1$ $P(X=3)+P(X=4)+P(X=7)+P(X=9)=1$
$:. 0.22+0.17+P(X=7)+0.18=1$
$:. 0.57+P(X=7)=1$
$:. P(X=7)=0.43$