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09 (1 point) Suppose you ipped three coins. The theoretical probabilities for the possibles outcomes for the coin landing heads can be represented in the following table: x: number of heads showing P(x) 0 I 1 ll 2 m 3 Iv To complete the table, the probabilities represented by i. ii, iii, and iv, respectively, are: i i i l 4' 4' 4' 4 l 2 E i 8' 8' 8' 8 l 2 E l 8' 8' 8' 8 l 2 2 l 6' 6' 6' 6 010 (1 point) Which of the following conditions is required for a hypergeometric probability distribution? The probability of success does not change as trial is made The probability distribution involves series of independent trials. There are exactly two outcomes: success and failure The probability of success is equal to the probability of failure. 011 (1 point) Hoe many of the following experiments would produce binomial distributions? 0 Drawing names out of a hat without replacement and recording the number of names that begin with a vowel. 0 Counting the number of spades in a hand of 13 cards dealt from a well-shuffled deck. 0 Asking all students in a class whether they prefer Canada Dry or Pepsi I Selecting the winning ticket in a lottery I Predicting the expected number of heads when ipping a coin 100 times 0 Predicting the number of girls among ve children randomly selected from a group of eight boys and six girls. 03 (1 point) Which of the following problems can be solved by using permutations? Determine the number of quadrilaterals that can be formed using vertices of an octagon. Determine the number of fourmember committees that can be selected from a group 01 12 people. Determine the number of ve-letter arrangements of the letters in the word COUNTRY. Determine the number of ve-card hands that can be made using a standard deck of 52 cards 04 (1 point) Which of the following problems is solved by using combinations? Determine the number of different 3-topping pizzas that can be made if 9 toppings are available Determine the number of ways in which 8 dierent truits can be distributed among 7 students. Determine the number of arrangements of three different plays if a football team has 6 basic plays Determine the number of ways in which 2 adults and their 3 children can be arranged in a line to have their picture taken. 05 (1 point) The number of ways in which a group of 1' students can be seated 5 at a time in a row of 5 desks is 5! 7! 5!x2! 7! 2! 06 (1 point) After everyone had shaken hands once with everyone else in a room. there were a total of 66 handshakes. How many people were in the room? 11 12 33 6? Q? (1 point) 01 There are 10000 households in the city of Mississauga which has three local newspapers. 0f the 10000 households, 4309 subscribe to the CP24 News, 430 subscribe to City News and 275 subscribe to AB News. Based on this statistics, what is the probability that the next family to move to Mississauga will not subscribe to a local paper? 0.4486 0.4809 0.5191 0.5514 02 . _ .\\ Consider the following Venn Diagram 0 .2 In the diagram we have the following: 0 0 represents the number of students taking a computer science course 0 D represents the number of students taking a data management course 0 the number of students taking neither courses A students is chosen at random from the entire group. If P(C) represents the probability that the student is taking the computer science course and P(D) is the probability that the student is in the data management course, then which of the following probabilities is not correct? Recall that Pr} = 1 P(D) 80 2 PC == () 120 3 42 7 \"Wm2'0 P(CorD)=108 i 'lo