SOLUTION: Suppose that the probability distribution of a random variabile x can be described by the formula p(x) = x over 15 (as a fraction) for each of the values x= 1, 2, 3, 4, and 5.

Question 255096: Suppose that the probability distribution of a random variabile x can be described by the formula p(x) = x over 15 (as a fraction) for each of the values x= 1, 2, 3, 4, and 5.
A. Write out the probability distribution of x.
B. Show that the proability distribution of x satisfies the properties of a discrete probability distribution.
C. Calculate the mean of x (I got 3)
D. Calculate the variance, dsquared,x and the standard deviation dx.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that the probability distribution of a random variabile x can be described by the formula p(x) = x over 15 (as a fraction) for each of the values x= 1, 2, 3, 4, and 5.
A. Write out the probability distribution of x.
Make ordered pairs like (1,1/5),(2,1/5),(3/1/5)..etc
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B. Show that the proability distribution of x satisfies the properties of a discrete probability distribution.
All the probabilities add up to 1 and each is between 0 and 1.
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C. Calculate the mean of x (I got 3)
Mean = sum of (1*1/5)+(2*1/5) +.... = (1+2+3+4+5)/5 = 15/5 = 3
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D. Calculate the variance, dsquared,x and the standard deviation dx.
They probably want you to show you can do this the long way.
Use the formula in your book.
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Cheers,
Stan H.

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