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%
Can you send a picture of the graph? there's no way to know the answer if we can't see the graph
9514 1404 393
Answer:
- 3.46 pounds
- 6.92 pounds
- 13.84 pounds
Step-by-step explanation:
The most accurate ratio of pounds to dollars will be found using the given numbers that have the most significant figures. Those are found on the last row of the table:
pounds/dollar = 34.60/50 = 0.692
To find the other table values, multiply the dollar amounts by this constant of proportionality. The problem statement tells you to round the result to hundredths.
$5 ⇒ 5.00 × 0.692 = 3.46 pounds
$10 ⇒ 10.00 × 0.692 = 6.92 pounds
$20 ⇒ 20.00 × 0.692 = 13.84 pounds
_____
You can also fill in the table by recognizing that $5 is one tenth of $50, so the number of pounds will be one tenth of 34.60 = 3.46. Then each of the following rows doubles the amount on the previous row.
Step 1: Add up the ages.
32+23+21+38+26=140.
Step 2: Divide answer by the amount of used numbers (5, in this case.)
140/5=28.
Your answer is 28.
9 feet
Use Pythagorean theorem:
Leg: 12
Hypotenuse: 15
12^2 + x^2 = 15^2
144 + x^2 = 225
x^2 = 81
x = 9