(Step-by-Step) Suppose that the probability distribution of a random variable x can be described by the formula p(x) = x/15 for each of the values x = 1,2,3,4
Question:
Suppose that the probability distribution of a random variable x can be described by the formula
p(x) = x/15
for each of the values x = 1,2,3,4 and 5.
- Write out the probability distribution of x.
- Show that the probability distribution of x satisfies the properties of a discrete probability distribution.
- Calculate the mean of x.
- Calculate the variance, \({{\sigma }^{2}}\), and the standard deviation, \(\sigma \)
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