The exponential distribution is:

where

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.

where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:

Sub into conditional probability formula:

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
So the answer to very good question is YES
Answer: 818.4
Step-by-step explanation:
Using the area of a sector formula, we get the area of the entire sector is
.
Using the formula
, we get the area of the triangle is
.
So, the area of the shaded sector is 
Answer:
8x+1
Step-by-step explanation:
4(x-1) + (x+2) + 3(x+1)
4x-4 + x+2 + 3x+3
combine all x
4x+x+3x= 8x
combine all numbers without variables
(-4) + 2+3=1
8x+1