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
Name: _______________________________ Trig/Discrete 5.1 – 5.3 PROBABILITY REVIEW 1. You are dealt ONE card at random from a deck (ace is low). Find the probability of each event. a. You get no aces. b. You get a heart or spade. c. You get a heart or a face card. d. You get a diamond and it is also a number less than 4. e. You get an ace on the first pick, then another ace without replacement. f. You get a heart on the first pick, then a spade, WITH replacing the first card. g. You get an ace and you also flip a coin and it lands on heads. Find each of the following conditional probabilities: h. The card is a heart given that it is red. i. The card is red, given that it is a heart. j. The card is an ace, given that it is red. k. The card is a queen given that it is a face card. 2. A marketing research organization conducts a yearly survey on consumers worldwide. They collect demographic information on respondents from each country that they survey. Here is a table showing the number of people with various levels of education in five countries: Post Graduate College High School Primary No answer Sch. Or less Total China 7 315 671 506 3 1502 France 69 388 766 309 7 1539 India 161 514 622 227 11 1535 U.K 58 207 1240 32 20 1557 U.S.A 84 486 896 87 4 1557 Total 379 1910 4195 1161 45 7690 If we select someone at random from this survey, a) What is the probability that the person is from the United States? b) What is the probability that the person completed their education before college? c) What is the probability that the person is from France or did some post-graduate study? d) What is the probability that the person is from France and finished only primary school or less? e) What is the probability that the respondent is from U.S.A given that they are post-graduate? f) What is the probability that they have a high school diploma given that they are from U.K? g) What’s the probability of having only a primary-level education, given they are from China? h) What’s the probability of being from China, given they have only primary level education? 4. 70% percent of kids who visit a doctor have a fever and 80% of kids who visit a doctor have sore throats. 30% of kids with a fever also have sore throats. What’s the probability that a kid who goes to the doctor has a fever given they have a sore throat? 5. In a monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight of the dogs and 6 of the cats are male. Find each of the following probabilities if an animal is selected at random: a) The pet chosen is a male, followed by a female pet chosen that, without replacement. b) The pet is cat, given that it is female. c) The pet is female, given that it is a dog. 6. Using the sentence “I LOVE MATH CLASS”, find the probabilities: a) What is the probability that the word selected is “MATH” out of the words? b) What is the probability that the letter “A” is selected out of all the letters? c) What is the probability that an “A” was selected followed by a “C” without replacement? d) What is the probability that the word chosen was “MATH”, given that the letter “E” is selected? Name: _______________________________ Trig/Discrete 7. 5.1 – 5.3 PROBABILITY REVIEW In a computer science class, there were 12 students who were advanced proficient in their programming speed, 7 students who were proficient, and 3 who were below proficient. a) Find the experimental probability that the next student to be timed will be proficient. b) If there is another class of 35 students who still need to be timed, predict how many students would be expected to get proficient. 8. The following two way table shows the number of students with certain hair and eye colors. Finish the table and find the following probabilities: a) Find the probability that a randomly selected person has blue eyes. b) Find the probability that a randomly selected person has blonde hair and blue eyes. c) Find the probability that a randomly selected person has blue eyes or blonde hair. d) Find the probability of randomly selecting someone with blonde or black hair. e) Find the probability that someone with blue eyes is chosen, followed by someone with green eyes, without replacement. f) Find the probability that someone selected has blue eyes, given that they have red hair. g) Find the probability that someone selected has black hair, given they have hazel eyes. h) Find the experimental probability of selecting someone with brown hair. i) Based off this experiment, if 200 people were surveyed, how many should have brown hair? 10) Two dice are rolled at the same time. Find the probability that on the first roll, their sum adds up to 8 and on the second roll, their sum adds up to 3. 11) 12) 13) Name: _______________________________ Trig/Discrete 5.1 – 5.3 PROBABILITY REVIEW 14) Animals on the endangered species list are given in the table below by type of animal and whether it is domestic or foreign to the United States. Mammals Birds Reptiles Amphibians Total United States 63 78 14 10 165 Foreign 251 175 64 5 498 Total 314 253 78 15 660 An endangered animal is selected at random. What is the probability that it is: a) A bird found in the United States? b) Foreign or a mammal? b) A bird given that it is found in the United States? foreign? d) A bird given that it is