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3:08PM Wed Feb 5 Assignment $ +7.10-+ $ Conditional + Probabilities $ +\% 28 $ shapes\%29.pdf Statistics: Assignment 7.10 Name: You should have 18 symbols below which are either squares, cireles, or triangles. Some filled in (black) and others just out lines (white). If you can't see these, try updating your browser, opening this on another computer, or opening the pdf version insead of the docx version. $ \square $ $ \square $ $ \square $ $ \square $ 000 $ \square $ Suppose that 18 cards are placed in a hat. The pictures on the cards are shown above. One card is to be chosen at random. Let event... $ B= $ the symbol is black $ \mathrm{W}= $ the symbol is white $ \mathrm{S}= $ the symbol is a square $ \mathrm{C}= $ the symbol is a circle $ \mathrm{T}= $ the symbol is a triangle Find the following probabilities giving answers as reduced fractions: $ P(B)= $ $ \qquad $ $ \mathrm{P}(\mathrm{C})= $ $ \qquad $ $ \mathrm{P}(\mathrm{B} \mid \mathrm{C})= $ $ \qquad $ $ \mathrm{P}(\mathrm{C} \mid \mathrm{B})= $ $ \qquad $ $ \mathrm{P}(\mathrm{S} \mid \mathrm{W})= $ $ \qquad $ $ \mathrm{P}(\mathrm{T} \mid \mathrm{B})= $ $ \qquad $ $ \mathrm{P}(\mathrm{S} $ or W$ )= $ $ \qquad $ Are the events W and T independent? Explain. Are the events B and C independent? Explain. Are the events B and S mutually exclusive, independent, or neither? Explain.

          3:08PM Wed Feb 5
Assignment \( +7.10-+ \) Conditional + Probabilities \( +\% 28 \) shapes\%29.pdf
Statistics: Assignment 7.10
Name:
You should have 18 symbols below which are either squares, cireles, or triangles. Some filled in (black) and others just out lines (white). If you can't see these, try
updating your browser, opening this on another computer, or opening the pdf version insead of the docx version.
\( \square \)
\( \square \)
\( \square \)
\( \square \)

000
\( \square \)

Suppose that 18 cards are placed in a hat. The pictures on the cards are shown above. One card is to be chosen at random. Let event...
\( B= \) the symbol is black
\( \mathrm{W}= \) the symbol is white
\( \mathrm{S}= \) the symbol is a square
\( \mathrm{C}= \) the symbol is a circle
\( \mathrm{T}= \) the symbol is a triangle

Find the following probabilities giving answers as reduced fractions:
\( P(B)= \) \( \qquad \) \( \mathrm{P}(\mathrm{C})= \) \( \qquad \) \( \mathrm{P}(\mathrm{B} \mid \mathrm{C})= \) \( \qquad \)
\( \mathrm{P}(\mathrm{C} \mid \mathrm{B})= \) \( \qquad \)
\( \mathrm{P}(\mathrm{S} \mid \mathrm{W})= \) \( \qquad \)
\( \mathrm{P}(\mathrm{T} \mid \mathrm{B})= \) \( \qquad \)
\( \mathrm{P}(\mathrm{S} \) or W\( )= \) \( \qquad \)

Are the events W and T independent? Explain.

Are the events B and C independent? Explain.

Are the events B and S mutually exclusive, independent, or neither? Explain.

$3:08PM Wed Feb 5 Assignment +7.10-+ Conditional + Probabilities +% 28 shapes%29.pdf Statistics: Assignment 7.10 Name: You should have 18 symbols below which are either squares, cireles, or triangles. Some filled in (black) and others just out lines (white). If you can't see these, try updating your browser, opening this on another computer, or opening the pdf version insead of the docx version. □ □ □ □ 000 □ Suppose that 18 cards are placed in a hat. The pictures on the cards are shown above. One card is to be chosen at random. Let event... B= the symbol is black W= the symbol is white S= the symbol is a square C= the symbol is a circle T= the symbol is a triangle Find the following probabilities giving answers as reduced fractions: P(B)= P(C)= P(B|C)= P(C|B)= P(S|W)= P(T|B)= P(S or W)= Are the events W and T independent? Explain. Are the events B and C independent? Explain. Are the events B and S mutually exclusive, independent, or neither? Explain.$

Added by Lisa B.

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