Econ 41 - Final Sheet (41-46)

# Econ 41 - Final Sheet (41-46) - 41 Suppose we sample 2...

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Unformatted text preview: 41) Suppose we sample 2 balls at random, mat a time without replacement, from an urn containing 4 black balls and 6 Whitehalb. “'hat is the probability p that the second ball is black? a) 196 [01-15) _q 52: Pr (carom bali black) b35335” .., “a .. WWW “NW 11/ )p [.,4 .55) bk : ill/15’}*5qul\$} e p2 .[55 [q 42) How does your answer to question 41 chanb . if the experiment is done with replacement? a)p€[0,.15) . b) 106 [.15,.3) - Pr (\$542001!) 5541“ Black) /)PE[-3 4) : -LI".L|‘.-+(.L.‘l(-‘l) Jd) p6 [.4, .55) : .l "1 .‘L"‘l J75)?> 55 5 [ﬁx‘ : .LlO j 43) 5% of the American female population and 50% of the Amerimale population love baseball. Assume that 60% of the American population is fe— male. What is the proportion of Americans who love baseball? a p E [0, .2) J45? E [.2, .25) ‘5 p6 [25,.3) Lu”, tug-Laue 1‘ .53 .57 véO d)p€[.3,.4) M M ‘40 £91224 .13 _ .11 44) In question 43), what is the proportion of males among all Americans who love baseball? ape E0533) ’4 E . ,. 5 .20 ; ’/ c)§e[.,35 .45) A?) '33) e.[4,5 .55) JCD» .55 45) Which of the following statements is true if income of a person is always a nonnegative number? a), It is possible that 60% of the population earns less than the median imam Medan 15 S079 , Go GO ‘7. mm mew, 1445 44m Mama». /b t' 18 possible that 90% of the population earns more than the mean income. eThe mean income is always higher than the median 1nc0me. my} alwajs W cm lac. 124‘s antiwar (6W)! ‘7) e)’ The median income is always higher than the mean income. mam (AM he, 554.31,...“ e)/a)—d) are all wrong. 46) ASSume you play tennis matches with your friend until either each of you has won one match or you have played three matches in total. Since the stamina of your friend is better than yours but he is a worse player, the probabilies of W: WWW. Lilo???“ w 1 '(q - L .“l [N < L Pr(wm7\£k9l’ Mid/l) : ?_ 19+ .4, ._ J3 , '8 66(3)»: (HHMLL) 2M, .5 _ + (-tHHN-L) _/ \JJ I4 _ 7 I 3'5 .5 L "(r—r \A/ __ l—LgL \\ -? bu; l/A\ -L L ,, 3L/1 <1? L“ K? xH-ﬂ 1(0) .20} = .‘L.;"2,\_ : .6 ‘ L ...
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