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Tasya [4]
3 years ago
8

"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo

re than 5-year old dvd would still work for more than 3 years?
Mathematics
1 answer:
loris [4]3 years ago
3 0
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

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.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

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%
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Kelly has a cherry tree in her yard. Currently the tree is 9 feet tall. That is 80% taller than it
lukranit [14]

Answer:

80 percent of 9 is 4/5th of 9, which is 36/5 or 7.2

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6 0
2 years ago
What is the side length of a cube with a volume of 0.216 m3?
aksik [14]

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Cube root 0.216 to get your answer

(Note: This makes sense if you know the volume of a cube is the same value multiplied together 3 times)

The answer is option A 0.6 m

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6 0
3 years ago
If a=3 and b=5 , find b/(a+b)=<br>A) 8/5<br>B) 3/8<br>C)5/8<br>​
Sophie [7]
Answer: 5/8 || explanation: 5/(3+5) =5/8
6 0
3 years ago
The morning temp. In Atlanta, Georgia is 21 1/4 degrees. During the day it warms up 6 2/7 degrees. What is the new temp
pogonyaev

Answer:

27 15/28 degrees

Step-by-step explanation:

Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.

1*4=4             1*7=7

2*4=8           2*7=14

3*4=12          3*7=21

4*4=16          <u>4*7=28</u>

5*4=20

6*4=24

<u>7*4=28</u>

Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.

8/28 + 7/28=15/28

For our last step, we need to add the whole numbers together so the answer is complete.

21+6=27

27+15/28= 27 15/28 degrees

6 0
2 years ago
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