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%
Answer:
Step-by-step explanation:
<u>Ratio of corresponding sides:</u>
- CD/BC = BC/AB
- CD/6 = 6/9.6
- CD = 6*6/9.6
- CD = 3.75 cm
Correct choice is C
Well you can add to find out that 9 x 5 = 45 and 1/2 x 5 = 2 1/2 so the correct answer is 47 1/2 to estimate it just do 9 x 5 = 45 Hope this helps! :D