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The following table is a probability distribution for the random variable x. x f

ID: 2505867 • Letter: T

Question

The following table is a probability   distribution for the random variable x.








x f(x)




6 0.30




10 0.50




15 0.20









1 The expected value of x   is:  E(x) = ______.

a 8.2




b 8.9




c 9.8




d 10.3











2 The variance of x   is:  var(x) = _______.

a 8.57




b 9.76




c 10.84




d 13.56











The following table is a probability   distribution for the random variable x.








x f(x)




6 0.30




10 0.50




15 0.20









1 The expected value of x   is:  E(x) = ______.

a 8.2




b 8.9




c 9.8




d 10.3











2 The variance of x   is:  var(x) = _______.

a 8.57




b 9.76




c 10.84




d 13.56











Explanation / Answer

1.) (6*.3)+(10*.5)+(15*.2)=9.8 So C

2.) ((9.8-6)^2)*.3 + ((9.8-10)^2)*.5 + ((9.8-15)^2)*.2 = 4.34+0.01+5.41 = 9.76 So B

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