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Quiz_2_Solutions

# Quiz_2_Solutions - Quiz#2 MA 223 Engineering Statistics...

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Unformatted text preview: Quiz #2 MA 223, Engineering Statistics Spring 2008; 10 points possible Sections 1.4 — 2.2 Date: Friday, March 14 NAME: 233/ CM Box #: You may NOT use Minitab or Maple on this quiz. 1. [+1 each - +0.5 for correctly shading & +0.5 for correct answer from table] Assume the variable 2 follows a standard normal distribution; that is, assume 2 is normally distributed with u = 0 and a = 1. Shade the region corresponding to the proportion of observations satisfying the stated criteria. Then use the z—table in the front of the book to ﬁnd the proportion. (a) p(Z>—1.16)=ﬂ 3%? 419‘) r @722 MA} (b) p(z < 0.74) = “jg/\$357!; (c) p(—1.16 < z < 0.74) = Q : Macaw} - Pfﬁ-Hé‘) .7404 * .{ZEC’ 2. [+2 pts each] Suppose the amount of time (min) which it takes a Rose Hulman student to donate a pint of blood is known to be normally distributed with u = 16 and a = 3. (Part (b) is on the next page.) (a) What proportion of Rose students are able to donate a pint of blood in less than 20 minutes? (b) What donation time is exceeded by only 1% of Rose students? v K a A A i ? at ‘> 7r 3;. } w (.2. i _ ‘ I v ,_ "\ w x 7>[?{<7<?\I,: a? Rwaj—ﬂ? x 7 ~ 1 {,9 g 7 '1‘: Z r 3% Z "7; w W 3mm 8.. ._ <7 "' i (9 2 6 3) “ My.“ ,3 x 22 .37 mag For a binomial distribution with number of trials 11 and proportion of successes n, the mass function for the number of successes x is given by: p(x) = 11"(1 —- 7t)""‘ for X: 0,1, 2,3, n. . n __ n! _ Note. (x) — x!(n_x)!, where 0! — 1. 3. [+2 pts] Suppose it is known that 65% of all Rose students have blood type A. If the blood donated by 10 Rose students is tested, what proportion of the time would you expect there to be exactly 8 students with blood type A? i , ICE 7(- / \« /‘Q\/ x3” ’[ BSA} f‘X/t " t 7: 1t w r /‘ ‘ ,, , 1 . A O / p5) ~ [ a“ (was) t3 x / ,,,,,,,,,,,,,,,,,,,,,,, Mm ,,,,,,, X I t ‘ / ’\/ \/ «\t N/ “t ’2'?“ \ \ x C3” 1:7‘ ago it} E W43“ 7mm in” ‘5 \V ,,,,,,,,,,,,,,,,,,,,,,,,,, MWMMWW‘ 4. [+1 pt] The number of students donating blood was recorded every 30 minutes between 11:00 am. and 5:00 pm. The data follows: What is the median of this data set? Oﬁbgwgb : '3) E) 2 S 1 (I; 5; L9; :7; m“: 1% , N, i g 50) E5. C‘g‘e‘a 5/Céé/5Cg “fem? , 53 (MM M 2 a s" l ...
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Quiz_2_Solutions - Quiz#2 MA 223 Engineering Statistics...

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