Suppose hat probability distribution of a random variable x can be describe by the formula P(x) x 15 for each of the values x 1, 2, 3,4, and 5 For example, then, P(x 2) p(2) 2 15 a Write out the probability distribution of x b Show that the probability distribution of x satisfies the properties of a discrete probability distribution c Calculate the mean of x d Calculate the variance, 2x, and the standard deviation, x

Question: Suppose hat probability distribution of a random variable x can be describe by the formula. P(x) = x/15 for each of the values x =

Suppose hat probability of a random variable x can be describe by the formula.
P(x) = x/15
for each of the values x = 1, 2, 3,4, and 5. For example, then, P(x = 2) = p(2) = 2/15.
a. Write out the probability of x.
b. Show that the probability of x satisfies the properties of a discrete probability Calculate the mean of x.
d. Calculate the variance, σ2x, and the standard deviation, σx.

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