![Page 1: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/1.jpg)
Advanced Math Topics
Chapter 6 Review Olympics
![Page 2: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/2.jpg)
• One sheet per player
• Make an answer column on the left hand side of your sheet
• Work together to solve each question
• Winning team earns a reward
• We will go over the process and answers for each
![Page 3: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/3.jpg)
BRONZE
1 point
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1) Find the missing probability.
x p(x)
0 ?
1 0.23
2 0.08
3 0.04
4 0.44
![Page 5: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/5.jpg)
2) Find the mean of the probability distribution.
x p(x)
0 0.1
1 0.1
2 0.1
3 0.2
4 0.15
5 0.3
6 0.05
![Page 6: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/6.jpg)
3) 45% of college applicants into the UC system are accepted. If there are 200,000applicants, how many can be expected tobe accepted? What is the standard deviation.Round to the nearest hundredth.
![Page 7: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/7.jpg)
4) If the variance of a probability distributionis 3.457, what is the standard deviation?Round to the nearest hundredth.
![Page 8: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/8.jpg)
SILVER
2 points
![Page 9: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/9.jpg)
5) Find the standard deviation to the nearest hundredth.
x p(x)
0 0.11
1 0.21
2 0.4
3 0.12
4 0.10
5 0.04
6 0.02
![Page 10: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/10.jpg)
6) The probability that a customer at a gasstation purchases diesel is 0.15. If six drivers pull into a gas station, find the probability that exactly 2 of them purchase diesel. Round to the nearesthundredth of a percent.
![Page 11: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/11.jpg)
7) The number of particles emitted froma radioactive source has an average of4 particle per minute. Find the probability that exactly 2 are emitted. Round to the nearesthundredth of a percent.
![Page 12: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/12.jpg)
8) A package of mixed nuts contains 20walnuts and 80 almonds. Five are grabbedin one handful. Find the probability that exactly one is a walnut. Round to the nearesthundredth of a percent.
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GOLD
3 points
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9) Men’s Wearhouse got a shipment of90 suits. Eight of them are missing shoes.You randomly grabbed 6 suits. Find the probability that at least 5 have shoes. Round to the nearesthundredth of a percent.
![Page 15: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/15.jpg)
10) According to police statistics, only71% of crimes go reported. If ten crimesare randomly selected, find the probability that at most 2 are not reported. Round to the nearesthundredth of a percent.
![Page 16: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/16.jpg)
• Rows 1 and 2 Trade Papers
• Rows 3 and 4 Trade Papers
• Rows 5 and 6 Trade Papers
• Score only one sheet, then add it to their teammate’s score.
• Points: Gold = 3 Silver = 2 Bronze = 1
• If there is more than 1 part, all parts must be correct to get the points
![Page 17: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/17.jpg)
BRONZE
1 point
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1) Find the missing probability.
x p(x)
0 ?
1 0.23
2 0.08
3 0.04
4 0.44
Answer: 0.21
Process: The probabilities must add to 1.
![Page 19: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/19.jpg)
2) Find the mean of the probability distribution.
x p(x)
0 0.1
1 0.1
2 0.1
3 0.2
4 0.15
5 0.3
6 0.05
Answer: 3.3
Process: Summate x times p(x).
![Page 20: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/20.jpg)
3) 45% of college applicants into the UC system are accepted. If there are 200,000applicants, how many can be expected tobe accepted? What is the standard deviation.Round to the nearest hundredth.
Answer: 90,000 and 222.49
Process: Multiply n(p) to find the average.Multiply n(p)(q) and take the square root to find thestandard deviation.
![Page 21: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/21.jpg)
4) If the variance of a probability distributionis 3.457, what is the standard deviation?Round to the nearest hundredth.
Answer: 1.86
Process: Square root the variance
![Page 22: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/22.jpg)
SILVER
2 points
![Page 23: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/23.jpg)
5) Find the standard deviation to the nearest hundredth.
x p(x)
0 0.11
1 0.21
2 0.4
3 0.12
4 0.10
5 0.04
6 0.02
Answer: 1.36
Process: There are 2 methods. The more common methodis to summate x2•p(x) and then subtract μ2. Then, squareroot.
![Page 24: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/24.jpg)
6) The probability that a customer at a gasstation purchases diesel is 0.15. If six drivers pull into a gas station, find the probability that exactly 2 of them purchase diesel. Round to the nearesthundredth of a percent.
Answer: 17.62%
Process: Since the probabilities are independent…Use the binomial distribution formula.
6C2(0.15)2(0.85)4
![Page 25: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/25.jpg)
7) The number of particles emitted froma radioactive source has an average of4 particle per minute. Find the probability that exactly 2 are emitted. Round to the nearesthundredth of a percent.
Answer: 14.65%
Process: Since there is an average over a given regionor period of time, use the Poisson formula.
![Page 26: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/26.jpg)
8) A package of mixed nuts contains 20walnuts and 80 almonds. Five are grabbedin one handful. Find the probability that exactly one is a walnut. Round to the nearesthundredth of a percent.
Answer: 42.01%
Process: Since there is no replacement, use the hypergeometric formula. (20 choose 1)(80 choose 4)divided by (100 choose 5).
![Page 27: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/27.jpg)
GOLD
3 points
![Page 28: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/28.jpg)
9) Men’s Wearhouse got a shipment of90 suits. Eight of them are missing shoes.You randomly grabbed 6 suits. Find the probability that at least 5 have shoes. Round to the nearesthundredth of a percent.
Process: P(5 have shoes) + P(6) since you cannot choose more than 6 with shoes. Since there is no replacement, use the hypergeometric formula for P(5) and P(6).
Answer: 91.30%
![Page 29: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/29.jpg)
10) According to police statistics, only71% of crimes go reported. If ten crimesare randomly selected, find the probability that at most 2 are not reported. Round to the nearesthundredth of a percent.
Answer: 40.99%
Process: Since the probabilities are independent…Use the binomial distribution formula for p(0) + p(1) + p(2)are not reported.
![Page 30: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/30.jpg)
Answer: 11.06%
Tiebreaker) The probability of getting on the Wallof Fame is 0.04. You randomly select3 people from the class, find the probabilityexactly one person made the Wall of Fame.Say your answer as a percent roundedto the nearest hundredth of a percent.
![Page 31: Advanced Math Topics Chapter 6 Review Olympics. One sheet per player Make an answer column on the left hand side of your sheet Work together to solve](https://reader036.vdocument.in/reader036/viewer/2022062423/5697bfbe1a28abf838ca26c4/html5/thumbnails/31.jpg)
HW
• P. 347 #1-11 (Skip 4, 9, 10)
• To study, look at this slideshow, past slideshows, the book, the chapter review, etc.
• Winners: Odds
• Test Tomorrow