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Unformatted text preview: Statistics 5101, Fall 2010: Homework Assignment 1
1. Draw ﬁve from a deck of 52 playing cards. How many diﬀerent possibilities are there that have two hearts, 2 spades and one diamond or club if the order of the cards does not matter? What if the order does matter? 2. Consider forming 4 letter words from the English alphabet of 26 letters. If the last letter must be diﬀerent from the ﬁrst three, how many such words are there? 3. Find (a) (b) (c)
1 −0.5 x dx. 0 ∞ 2 −x x e dx. 0 0≤x,y ≤1,x+y ≤1 xdxdy. 4. Please specify the sample spaces for the following statistical experiments. (a) A student counts how many cars pass by his house in an interval of 10 hours. (b) A student throws a die 20 times and count how many times she gets 6. (c) The weight change of a person who goes through a weight loss program. (d) An engineer orders a batch of 100 electrical circuits. He records their life times. His real interest is the number of circuits that have life time at least 1000 hours. 1 ...
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