MATH 1550H Quiz: MATH1550H-Quizzes (2)
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A fair four-sided die has its faces marked with the numbers 1, 2, 3, and 4, respectively. Since the die is fair, any of these numbers is as likely to be rolled as any other. [1] at least one of the rolls gave an even number. If the two tosses came up with di erent faces, that"s it; otherwise, if the two tosses came up with the same face, the coin is tossed two more times: draw the complete tree diagram for this experiment. Suppose that the continuous random variable x has the probability density function: 0 t < 1 or t > 1 f (t) = : graph f (t). [1: verify that f (t) is indeed a probability density function. Let a be the event that the number of heads that came up is odd, and let b be the event that the number of heads that came up is grreater than two: compute p (a|b).
