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3 years ago

An experiment observes an integer uniformly chosen from {1.2, 3.4.5, 6, 7, 8, 9, 10, 11.12}

Mathematics

1 answer:

Brrunno [24]3 years ago

8 0

Answer:

Options D & E are independent

Step-by-step explanation:

For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0

A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.

B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.

C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.

D) A ∩ B = 0. They are mutually exclusive and thus they are independent.

E) A ∩ B = 0. They are mutually exclusive and thus they are independent.

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$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Billy}&d&r&1\\
\textit{slower Billy}&d&r-20&2
\end{array}
\\\\\\
\begin{cases}
d=r(1)\implies d=\boxed{r}\\
d=2(r-20)\\
----------\\
d=2\left( \boxed{d}-20 \right)
\end{cases}
\\\\\\
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