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Math 150 Exam 2: Chapter 4,5,6 Fall 2017 Name Standard exam ground rules apply.

ID: 3356633 • Letter: M

Question

Math 150 Exam 2: Chapter 4,5,6 Fall 2017 Name Standard exam ground rules apply. One sheet of notes is OK. State any calculator function used, along with its inputs. You must show your work for credit. ) The points earned on exam by a group of statistics students are listed below. 32 37 41 44 46 48 53 55 56 57ta32 59 63 65 66 68 69 70 71 74 74 75 77 78 79 80 82 83 86 89 92 95 99 100 ) Find Pro. That is, what number of points defines the 70th percentile? What is the meaning of the 70h percentile? b) A student who earned 57 points corresponds to which percentile? 2) In a certain bowl of M&cM; candies, there are 17 yellow plain ones, 14 yellow peanut ones, 8 orange plain ones, 15 orange peanut ones, 18 green plain ones, and 12 green peanut ones. If you randomly choose one from the bowl, question, what is the probability that the candy a) will be both green and plain? b) will be either green or plain? c) will be green, given that it is plain? If you select four candies from the bowl at random (without putting any back), what is the probability that g) none of them will be green? h) at least one of them is green? ) A state lottery involves the random selection of three different numbers between 1 and 23. Yo if you pick the correct numbers, but it doesn't matter in which order the numbers were select a) How many different ways can an entry be created by selecting one number combination? b) What is the probability that it will be the winning combination? If it costs $2 to enter the lottery and the amount of the jackpot is $65,000, what is the exp value of the game? o)

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

4) a) Total ways:

Select 3 out of 23

Ways = 23C3 = 1771

b) P = 1/1771 = 0.00056

c) Expected value:

EV = 0.00056 * 65000 -  2

EV = $34.4