SOLUTION: The probability distribution of a discrete random variable x is defined in the table shown here. What is the value of the standard deviation of x? x 1, 2, 3, 4, 5, 6 P(x)

Algebra ->  Probability-and-statistics -> SOLUTION: The probability distribution of a discrete random variable x is defined in the table shown here. What is the value of the standard deviation of x? x 1, 2, 3, 4, 5, 6 P(x)       Log On


   

Question 929498: The probability distribution of a discrete random variable x is defined in the table shown here. What is the value of the standard deviation of x?


x 1, 2, 3, 4, 5, 6
P(x) 0.03, 0.14, 0.31, 0.33, 0.15, 0.04



A 1.25

B 1.12

C 13.85

D 3.72

E 1.96
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
mu=1%280.03%29%2B2%280.14%29%2B3%280.31%29%2B4%280.33%29%2B5%280.15%29%2B6%280.04%29=3.55
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V=sum%28x%5E2%2Ap%29-mu%5E2
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V=13.85-3.55%5E2=1.2475
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sigma=sqrt%28V%29=sqrt%281.2475%29=highlight%281.1169%29