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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%
We have been given a diagram. We are asked find the measure of arc EAB.
First of all, we will find the measure of arcs ED and CB using our given information.
We know that measure of an inscribed angle is half the measure of intercepted arc.
We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.



Similarly, we will find the measure of arc DCB.











Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.
Answer:
They would get 12oz of soup
Step-by-step explanation:
First, you would do 16x6 because you want to find the total amount of soup you have.
Next, after finding how much you have in total 96oz you then divide by how many people in this case is 8 then you get your answer.