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Pie
3 years ago
9

A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Pablo chooses a marble at random, and without putting it back

, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

12/90 or 2/15

Step-by-step explanation:

1st marble is blue is 4/10

2nd marble is blue is 3/9

Multiple together and the probability is 12/90 or 2/15

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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
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Answer:

0.685 = 68.5% probability that X is less than 30 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

If X has an average value of 26 minutes

This means that m = 26, \mu = \frac{1}{26}

What is the probability that X is less than 30 minutes?

P(X \leq 30) = 1 - e^{-\frac{30}{26}} = 0.685

0.685 = 68.5% probability that X is less than 30 minutes

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3 years ago
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Answer:

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Step-by-step explanation:

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