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

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X 3 4 7 9

P(X) 0.22 0.17 ? 0.18

X 3 4 7 9

P(X) 0.22 0.17 ? 0.18

##### 1 Answer

Feb 27, 2017

# P(X=7)=0.43#

#### Explanation:

The Probability Distribution of the Random Variable

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#