Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Unit 4 Review Name:___________________________ Per._______ Read all of the questions carefully. All work must be shown under the appropriate problem to receive full credit. (each problem is 2 points each unless specified) The test will be 30 pts. total 1. A sample of 100 female politicians was asked, “Which ice cream flavor do you prefer: Chocolate or Vanilla?” The respondents were classified by their political parties: Party X or Party Y. The results are shown in the table below. Flavor Preference Chocolate Vanilla Total Party X ? 40 Political Party Y 30 60 Party Total 35 65 100 If ice cream flavor preference is independent of political party, how many female politicians are in Party X and prefer vanilla? 2. When looking at the association between the events “owns a car” and “owns a pet,” if the events are independent, then the probability P(owns a pet | owns a car) is equal to _____. 3. Chris is taking two classes this semester, English and American History. The probability he passes English is 0.60 and the probability he passes American History is 0.40. The probability that he passes either class is 0.90. What is the probability that he passes both classes? 4. The probabilities an adult male has high blood pressure and/or high cholesterol are given below. Blood pressure High Normal High 0.10 0.20 Cholesterol Normal 0.15 0.55 What is the probability of: a. A man known to have high blood pressure also has high cholesterol. b. A man known to have high cholesterol also has high blood pressure. 5. The probabilities an adult male has high blood pressure and/or high cholesterol are given below. Blood pressure High Normal High 0.20 0.10 Cholesterol Normal 0.25 0.45 What the probability a randomly selected adult male has high blood pressure or high cholesterol? 6. If P(A and B) = 0.6 and P(B) = 0.3, then P (A | B) = __________ 7. If P (B | A) = 0.3 and P(A) = .4, then P(A and B) = __________ 8. Two independent events, A and B are independent, have the following probabilities. P A 0.3 P B 0.4 Compute: 1. P A and B __________ 2. P A or B __________ 3. P not A __________ 4. __________ P (A|B) 9. Below is a table of past record giving probability data for an ice cream and Gatorade sales at soccer and hockey games. (1 point each) Soccer Game Hockey Game Totals Ice Cream 30 20 Gatorade 35 15 Totals Leave answers in fraction form. __________a) What is the probability that an item is sold at a soccer game? __________e) What is the probability that an item was sold at a soccer game or a hockey game? __________b) What is the probability that a Gatorade was sold? __________f) What is the probability that a Gatorade was sold given that an item was sold at a hockey game? __________c) What is the probability that a Gatorade was sold at a soccer game? __________d) What is the probability that a Gatorade was sold, given that the item was sold at a soccer game? __________g) What is the probability that the item sold was not an ice cream? __________h) What is the probability that the item is not sold at a soccer game? Answers 1. 35 2. P(owns a pet) 3. 0.1 4. a. 2/5 or 0.4 b. 1/3 or .333 5. 0.55 6. 2 7. 0.12 8. 0.12, 0.58, 0.7, 0.3 9. a. 65/100 b. 50/100 c. 35/100 d. 35/65 e. 100/100 f. 15/35 g. 50/100 h. 35/100