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Zigmanuir [339]
3 years ago
12

A 552 ​-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer: 138 inches

Step-by-step explanation:

138*3=414inches=Length of larger piece

414/3=138 inches=Length of smaller piece

414+138=552 inches

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Answer:

P(X

And using the cdf we got:

P(X

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

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And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

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\lambda = (\frac{1}{16})^2 = \frac{1}{256}

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F(x) = 1- e^{-\lambda x}

Solution to the problem

And for this case we want to find this probability:

P(X

And using the cdf we got:

P(X

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