Anna Audler Stats 10: Section 3A UID: 304295761 TA: Luis Sosa Homework #4 5.1: A) 26427 40650 B) TTTTH TTTHT C) We didn’t get more than 6 heads; We got 2 Heads 5.10: 7/4 can’t be a probability because that would be more than 100% and -10% can’t be a probability because it’s impossible to have a negative value 5.15: A) 1/16 = 0.0625 B) 4/16 = 1/4 = 0.25 C) 6/16 = 3/8 = 0.375 D) 4/16 = 1/4 = 0.25 E) 1/16 = 0.0625 5.21: P(conservative and democrat) = 104/1858 = 0.0559 = 5.6% 5.22: P(liberal and republican) = 26/1858 = 0.01399 = 1.4% 5.23: P(democrat or republican) = (689 + 469)/1858 = 0.6232 = 62.3% 5.24: P(liberal or conservative) = (530 + 593)/1858 = .6044 = 60.4% 5.25: P(liberal or democrat) = P(liberal) + P(democrat) – P(liberal and democrat) = (530/1858)+(689/1858)-(306/1858) = 0.4913 = 49.1% 5.33: A) 4/6 = 2/3 = 66.7% B) 3/6 = 1/2 = 50% 5.40: A) 15/50 = 0.3 = 30% B) 35/50 = 0.7 = 70% C) 30/50 = 0.6 = 60% D) 20/50 = 0.4 = 40% E) They add up to 100% because that represents all possible outcomes 5.44: A) P(more than 16) = 1 – P(fewer than 7 and between 7-15) = 0.36 B) P(7 or more) = P( between 7-15 and more than 16) = 0.77 C) P(at most 15) = P(fewer than 7 and between 7-15) = 0.64 D) A and C because it shows all possible outcomes (adds up to 1): the person can either miss more than 16 or no more than 155.47: A) 306/530 = 57.7% B) 104/593 = 17.5% C) Liberals are more likely to be democrats 5.57: The variables are independent because the probability of having the right thumb on top given the person is a man is equal to the probability that a person has the right thumb on top; 60/100 = 60% and 18/30 = 60% 5.59: The variables are not independent because the percentages are different, even though they are not different by much (independence requires the percentages to be the exact same); 345/379 = 91% & 1262/1362 = 92.7% 5.61: A) 1/8 = 0.125 B) 1/8 = 0.125 5.63: Both have the same probabilities. (1/6)5 5.65: A) Neither fastened = (0.16)(0.16) = 0.0256 B) At least one fastened = 1 – 0.0256 = 0.9744 5.69: Histogram B because of the Law of Large
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