Answer:
$600
Step-by-step explanation:
Let the random variable
denote the damage in $ incurred in a certain type of accident during a given year. The probability distribution of
is given by

A company offers a $500 deductible policy and it wishes its expected profit to be $100. The premium function is given by

For
, we have

For
,

For
,

For
,

Therefore, the probability distribution of
is given by

To determine the premium amount that the company should charge, we need to calculate the expected value of 

Therefore,

which means the $600 is the amount the should be charged.
Answer:
If the numbers next to the "x" are "carroted" ( ^ ) then the answer is
-3x^4 + 9x^3 -8x^2 -2x +12
Step-by-step explanation:
Basically, you just add the like terms together.
Since there are 2 black sixes and 2 black eights in a typical deck of 52 cards, the probability of choosing one of those 4 out of 52 is 4/52 or 1/13.
5 and 6 (5 being the square root of 25 and 6 being the square root of 36, which are the closest perfect squares)