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Unformatted text preview: Name Quiz #2 MAT109 Date SUBMIT COMPLETED TESTS VIA WEBCT EMAIL - NOT THE DISCUSSION ROOM. Please make sure your name is on the document you attach, and include your initials in the name of the document, e.g., Quiz 2PK.doc. Thank you. 1) Identify the method (classical, empirical, or subjective) that was most likely used to determine the given probability. Explain your reasoning. a)The probability of rain today was reported to be 10% (0.10) on the news last night. It is the Subjective Probability because it is based on an individual's opinion or experience, using whatever information is available. In this case a meteorologist looks at the clouds and determines if it is going to be rainy. b)The probability of Ray Allen shooting and making one free throw is 90% (0.90). It is the Empirical Probability because is based on the number of times an event occurs as a proportion of a known number of trials. c)The probability of picking an ace in a single random pick from a standard 52-card deck is . It is the Classical Probability because it is based on the assumption that the outcomes of an experiment are equally likely. The classical probability of picking an ace in a single random pick is = .077 2) a)A card is randomly drawn from a standard 52-card deck. Determine P(face), P(hearts), P(face and hearts), P(face or hearts), and P(face | hearts). P (face) = 12/52 P (hearts) = 13/52 P (face and hearts) = P (face) * P (hearts) = 12/52 * 13/52 = 156/2704 = .0576 = 5.8% P (face or hearts) = P (face) + P (hearts) = (12 + 13) /52 – 1/52 = 24/52 = 0.465 = 46.5% P (face | hearts) = P (face) + P (hearts) / P (hearts) = 25/13 = 1.92 b)A balanced coin which cannot land on its edge is tossed four times. The number of heads is counted. Determine b)A balanced coin which cannot land on its edge is tossed four times....
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- Spring '09
- Normal Distribution, Probability theory, Binomial distribution, discrete random variable, NSCC