Homework_1_Solution

Homework_1_Solution - conclude that Alaska Airlines has the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Homework 1 Solution 1.1-2 (5 points) a. S = {ggg, ggb, gbg, gbb, bgg, bgb, bbg, bbb} b. S = {female, male} c. S = {100, 101, 102,…, 999} No point is subtracted if you list S = {000, 001, 002,…, 999} 1.1-4 (10 points) a. Clutch Size Count Relative Frequency 4 3 0.025641026 5 5 0.042735043 6 7 0.05982906 7 27 0.230769231 8 26 0.222222222 9 37 0.316239316 10 8 0.068376068 11 2 0.017094017 12 0 0 13 1 0.008547009 14 1 0.008547009 Total 117 1 b. c. The mode is 9
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1.1-13 (10 points) a. On 5 individual cities, Alaska Airlines has the better on time performance. b. America West has the better on time performance. c. This example illustrates the Simpson’s paradox. It should be careful when drawing statistical inference from the aggregate (combined) data. In this problem, if we are only provided with the combined data, we may conclude that America West has the better on time performance. However, when taking into account the individual cities’ data, we can
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: conclude that Alaska Airlines has the better on time performance. 1.2-2 (10 points) a. S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} b. A = {HHHH, HHHT, HHTH, HTHH, THHH} B = {HHTT, HTHT, HTTH, HTTT, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} C = {HHHH, HHHT, HTHH, HTHT, THHH, THHT, TTHH, TTHT} D = {HTTT, THTT, TTHT, TTTH} i. P(A) = 5/16 ii. P(A B) = 0 iii. P(B) = 11/16 iv. P(A C) = 4/16 = 1/4 v. P(D) = 4/16 = 1/4 vi. P(A C) = P(A) + P(C) P(A C) = 5/16 + 8/16 4/16 = 9/16 vii. P(B D) = P(D) = 1/4 (D is a subset of B) 1.2-6 (5 points) a. P(A B) = P(A) + P(B) P(A B) = .4 + .5 - .3 = .6 b. P(A B) = P(A) P(A B) = .4 - .3 = .1 c. P(A B) = 1 P(A B) = 1 - .3 = .7 (use De Morgans law)...
View Full Document

Page1 / 3

Homework_1_Solution - conclude that Alaska Airlines has the...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online