Question

Consider the following data: x 2 3 4 5 6 P(X=x) 0.3 0.2 0.2 0.1 0.2...

Consider the following data:

x 2 3 4 5 6
P(X=x) 0.3 0.2 0.2 0.1 0.2

Step 1 of 5 : Find the expected value E(X). Round your answer to one decimal place.

Homework Answers

Answer #1
X P(X) X*P(X) X² * P(X)
2 0.3 0.6 1.200
3 0.2 0.6 1.800
4 0.2 0.8 3.2000
5 0.1 0.5 2.5000
6 0.2 1.2000 7.2000

expected value = mean = E[X] = Σx*P(X) =            3.70

========================


          
E [ X² ] = ΣX² * P(X) =            15.9000
          
variance = E[ X² ] - (E[ X ])² =            2.2100
          
std dev = √(variance) =            1.4866

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