The following table shows the probability distribution for a discrete random
variable.
| X
P(X
12
0.07
15
0.21
17
0.17
20
0.25
22
0.05
24 | 25 | 30
0.04 0.13 0.08
an
The mean of the discrete random variable X is 19.59. What is the variarice
of X? Round your answer to the nearest hundredth.

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Can you decompose the numbers 20,740,6,000

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?