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Neporo4naja [7]
3 years ago
11

What is the domain? What is the range?

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

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Answer:

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Given

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Required

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First, we need to list the sample space of a roll of a die

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In (1): the sample space of E is:

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So:

P(E) = \frac{n(E)}{n(Event\ 1)}

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In (2): the sample space of F is:

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So:

P(F) = \frac{n(F)}{n(Event\ 2)}

P(F) =\frac{4}{36}

P(F) =\frac{1}{9}

For E and F to be independent:

P(E\ and\ F) = P(E) * P(F)

Substitute values for P(E) and P(F)

This gives:

P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}

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However, the actual value of P(E and F) is 0.

This is so because E = \{1\} and F = \{5,5,5,5\} have 0 common elements:

So:

P(E\ and\ F) = 0

Compare P(E\ and\ F) = \frac{1}{54} and P(E\ and\ F) = 0.

These values are not equal.

Hence: the two events are not independent

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