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