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find the variance and standard deviation of the probability distribution of the random variable x if 1/10 for X=1,2,3,...,10.

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Answer:

E(X)=110∑10X=1X=110×10(10+1)2=5.5

E(X2)=110∑10X=1X2=110×10(10+1)(20+1)6=38.5

Thus Var(X)=E(X2)−(E(X))2=38.5−5.52=8.25

Standard Deviation = 8.25−−−−√≈2.87

Step-by-step explanation:

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