You have a coin that lands heads with probability 0.3. Suppose you keep flipping the coin until you see 100 heads. (a) State the Central Limit Theorem (CLT) in one or two sentences. (b) Use the CLT to approximate the probability you flip the coin more than 300 times. For full credit use a continuity […]
3. Halloween will be here before you know it and the children in your neighborhood will come trick-or-treating (that is, they will come to your door and demand candy). Suppose there are 20 children in your neighborhood and 30 houses (one of which is yours). Each child independently chooses 10 houses at random without replacement […]
2. Suppose your friend places—with equal probability—either 10 red balls and 10 green balls or 5 red balls, 10 green balls, and 5 yellow balls in a box (in particular, the box contains 20 balls). You draw five balls from the box uniformly-at-random, without replacement. (a) Given that 10 red and 10 green balls are […]
The data of this exercise were gathered as part of a study to estimate the population size of the bowhead whale (Raftery and Zeh 1993). The statistical procedures for estimating the population size along with an assessment of the variability ofthe estimate were quite involved, and this problem deals with only one aspect of the […]
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