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Assignment
Given a spinner as shown in the illustration below, two fair six sided dice and a standard deck of 52 playing cards, calculate the probability of each compound event below.
1. Spin a 4 and roll doubles.2. Spin an odd number and roll an odd sum.3. Draw four red cards in a row without replacement.4. Draw three face cards (jack, queen, king) without replacement.5. Rolling a sum of eight and spinning a 2.6. Spin a three, three times in a row.7. Roll an even sum and spin a prime number.8. Draw a five card hand containing exactly 3 red and 2 black cards.9. Draw a five card flush (a hand in which all cards are the same suit).10. Draw a hand of five cards containing exactly two hearts.11. Draw a hand of three cards that contains at least one spade.12. Roll a sum of 7 or 11 and draw three cards in which at least one is a face card.
First k is repeated (possibly by using some of the first k flips). Show that the expected number of additional flips after the initial k is 2^k?
Finding the Equation of the Regression Line and Making Predictions. Find the regression equation,
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The manufacturer has to replace or exchange 10% of its model I and 18% of its model II. If a model is selected at random, find the probability that it will be defective?
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