MATH 302 WEEK 3 TEST

MATH 302 WEEK 3 TEST A coin is flipped 30 times. Find σ². Round to 1 decimal place. Answer: 7.5 30*.5*.5 Question 2 1 / 1 point Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the expected number of left-handed people? Round to the whole number. Do not use decimals. Answer: 20 200*.10 Question 3 1 / 1 point Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X ≤ 3) using Excel. Round answer to 4 decimal places. Answer: 0.9021 In Excel, =BINOM.DIST(3,14,0.13,TRUE) Question 4 1 / 1 point It is known that 50% of adult workers have a high school diploma. If a random sample of 5 adult workers is selected, what is the probability that more than 3 of them have a high school diploma? (That is, what is P(X>3) (round to 4 decimal places) Answer: 0.1875 P(x > 3) = 1 - P(x ≤ 3), in Excel =1-BINOM.DIST(3,5,0.5,TRUE) Question 5 1 / 1 point Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X = 15) using Excel. Round answer to 4 decimal places. Answer: 0.0016 In Excel, =BINOM.DIST(15,25,0.85,FALSE) Question 6 1 / 1 point The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected. NAME Single Double Triple Home Run TOTAL HITS Babe Ruth 1,517 506 136 714 2,873 Jackie Robinson 1,054 273 54 137 1,518 Ty Cobb 3,603 174 295 114 4,186 Hank Aaron 2,294 624 98 755 3,771 TOTALS 8,468 1,577 583 1,720 12,351 Find P(hit was a Home Run|The hit was made by Ty Cobb ). Question options: 0.009