SOLUTION: The random variable X represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and variance.
X 0 1 2
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X 0 1 2
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Question 1167136: The random variable X represents the number of tests that a patient entering a hospital will have along with the corresponding probabilities. Find the mean and variance.
X 0 1 2 3 4
P(X=x) 0.21 0.19 0.32 0.17 0.11
You can put this solution on YOUR website! mean is x*p(x)=0+0.19+0.64+0.51+0.44
=1.78
variance is sum of the squared deviations or
1.78^2*0.21=0.665
0.78^2*0.19=0.116
0.22^2*0.32=0.015
1.22^2*0.17=0.253
2.22^2*0.11=0.542
the sum is 1.591
between 1 and 3 has probability of 0.68