Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is

then the slope of the line that crosses (0, 3) & (4.5, 0) is

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:
10% probability that the part has at least one flaw
Step-by-step explanation:
We have these following probabilities:
90% probability of the part being flawless.
8% probability of the part having a minor flaw
2% probability of the part having major flaws.
What is the probability that the part has at least one flaw
Minor or major flaws. So 8% + 2% = 10%
10% probability that the part has at least one flaw