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2 years ago

2 liters poured in 4 bowls how much milliters are in each bowl

Mathematics

1 answer:

AlladinOne [14]2 years ago

7 0

2 liters = 2000 milliliters, so 4 bowls would be 2000/4 = 500 milliliters in each bowl.

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Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

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For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

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Of the 20 copies, 2 are defective, so $p = \frac{2}{20} = 0.1$ .

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when $n = 10$ .

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$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487$

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