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Unformatted text preview: Stat 134 Old Finals The final will be Wednesday and Thursday August 10th and 11th at the normal lecture time. You must come both days. Roughly a fourth of the total final will be on Ch 1-3. The first day will not have any problems from Ch 6, but the second day may still include problems from any part of the book. Bring two pages of notes (both sides), a blue book, a calculator, and something to write with. Ill give you a normal table on the exam. Here are 3 practice finals. Each was originally intended to be roughly 110 minutes long, though Final #2 is on the short side. Omit parts of the text listed on the syllabus and omit p344. I suggest that you practice doing odd problems from the text. Refer to the handout for the midterm for omitted problems for Ch 1-3. Dont do the following BAD (too hard or irrelevant) problems from Ch 4-6. These old finals dont have any problems from 6.3-6.5, so do more from those sections. 4.1 15; 4.2 all good; 4.4 11; 4.5 all good; 4.rev 9, 11, 17, 23, 27+; 5.1 all good; 5.2 17, 19, 21; 5.3 11+; 5.rev 9, 21, 25+; 6.1 all good; 6.2 9, 13+; 6.3 15, 17; 6.4 17, 19d), 23; 6.5 7e), 13; 6.rev 9, 15, 19cd), 27+. Stat 134 Final #1 1) Consider a standard deck of 52 cards, with 13 each of the four suits: spades, hearts, diamonds, and clubs. Suppose one draws 13 cards without replacement and let X be the number of hearts in the hand. Find: a) E ( X ) 10 pts b) P ( X = 3) 10 pts 2) 10 cards numbered 1 to 10 are shuffled and dealt one by one. Say a record occurs if the present card is higher than all the previous cards. Thus if the cards come out in the order 1,2,3,4,5,6,7,8,9,10 then 10 records are set; if the 10 comes out first then only one record can be set. What is the expected number of records? 10 pts 3) A biased coin is flipped; the probability of heads on each flip is .4. a) What is the distribution of the number of heads in 100 flips? 5 pts b) Give an approximation for P ( X = 45). 10 pts c) What is the distribution for the number Z of flips required to produce 4 heads? 10 pts d) What is E ( Z )? 5 pts 4) Let X have density function f ( x ) = cx 2 for 0 < x < 1, and f ( x ) = 0 otherwise. Find: a) the value of c . 10 pts b) E ( X ). 10 pts c) SD ( X ). 10 pts d) the cdf of X . 10 pts e) the density function for...
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- Spring '08