If
and
are mutually independent, then
and
.
If
and
are independent, then
. Ditto for
and
.
The inclusion/exclusion principle says that
Since
and
are mutually exclusive, their intersection is the empty set. It then follows that
also is the empty set, so the last probability is also 0.
Plug in what we know:
Answer:
14/15
Step-by-step explanation:
1) The domain is all the possible x values in the function so it would be [-4,4]
2) There are only 3 zeros shown on the graph and they are (-2, 0) (0, 0) (2, 0) the zeros are the value of x when y = 0.
3)The function is positive/Negative is asking for what x values make the y values positive aka interval notation. The function is positive if x = (0, 2) because 0 and 2 aren't included you use parentheses () instead of brackets []
The function is negative if x [-4, -2), (-2,0), (2,4]
Your answer would be 3160.
