1. A fair coin is tossed until the first tail is tossed. Let X be the number of heads in this experiment. Give the probability distribution of X (vales of X and probability until P(X) < 0.005 of this experiment). 2. An unfair die looks like an ordinary six-sided die but the probability of a face landing on an odd number is half the probability of landing on an even number. Let Y denote the number of dots on the "up" face. (a) Give the probability distribution of Y (use properties of a probability distribution). (b) Compute the mean and standard deviation of Y.
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This means that we can have 0, 1, 2, 3, ... heads before the first tail. Show moreā¦
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