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labwork [276]
3 years ago
8

Find the area of the composite figure. I need a quick answer on pleas

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

Area if rectangle= 55

Area of triangle=30

Total area=85

11x5=55

23-11=12

5/2=2.5

2.5x12=30

55+30=85

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"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
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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%
3 0
3 years ago
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