Consider the following discrete probability distribution. What is the probability that #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#

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

We know that for any Probability Distribution:

#sum P(X=x) = 1#

Hence;

# 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#