The expected value of the random variable is 1.54
We have the probability function graph of a random variable.
We have to find the expected value of the random variable.
What is the formula to calculate the approximate value of a random variable from probability function graph?
The formula to convert the expected value of a random variable is -
v(r) = [tex]\sum_{1}^{i} x_{i}P(x_{i})\\[/tex]
We have the following data from the graph -
x 1 2 3 4 5
P(x) 0.3 0.2 0.15 0.05 0.3
Using the formula discussed above -
v(r) = [tex]\sum_{1}^{5} x_{i}P(x_{i}) =[/tex] (1 x 0.3) + (2 x 0.2) + (3 x 0.15) + (4 x 0.05) + (5 x 0.3)
v(r) = [tex]\sum_{1}^{5} x_{i}P(x_{i}) =[/tex] 0.3 + 0.4 + 0.45 + 0.2 + 1.5 = 1.54
Hence, the value of the random variable is 1.54
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