Prove the Pigeonhole Principle - If m pigeons are assigned ton pigeonholes, where m>n, then at least two pigeons must occupy the same pigeonhole.
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Q: Suppose that you randomly selected 22 adults. Assume 11% of the population smoke. Round all answers…
A: given data n=22p=0.11mean :μ=n*p=22*0.11=2.42standard deviation :σ=n*p*q =22*0.11*0.89 =1.4676
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Q: Suppose that you randomly selected 26 adults. Assume 17% of the population smoke. Round all answers…
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Q: Suppose that you randomly selected 22 adults. Assume 19% of the population smoke. Round all answers…
A: Givenn=22p=19%=0.19
Q: Suppose that you randomly selected 25 adults. Assume 24% of the population smoke. Round all answers…
A: Using the Range Rule of Thumb,
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Q: Suppose that you randomly selected 25 adults. Assume 15% of the population smoke. Round all answers…
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Q: Suppose that you randomly selected 23 adults. Assume 19% of the population smoke. Round all answers…
A: Solution: Let X be the number of people smoke. The probability of population smoke is p= 0.19 n=…
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Q: Suppose that you randomly selected 26 adults. Assume 13% of the population smoke. Round all answers…
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- Suppose that you randomly selected 21 adults. Assume 20% of the population smoke. Round all answers to 2 decimal places. a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 21 adults? b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 21 adults? c) Would it be unusual to randomly select 21 adults and get 20 smokers? O No, since 20 is between the maximum and minimum usual values. O Yes, since 20 is not between the maximum and minimum usual values. Question Help:Written Example Message instructor Submit Question Jump to Answer1-Compute the appropriate summary measures for each variable.A company wishes to test five different types of tires: A, B, C, D and E. The lives of the tires are given in the table below, where each type has been tried on six similar automobiles. Determine whether there is a significant difference between the tires at a) 0.05 level b) 0.01 level. c) If there is a significant difference among the tires, find the pair (s) which has (have) significant difference in 0.05 level. Life of tires (1000 km) A:53 61 58 64 50 56 B:63 64 67 61 65 68 C:50 59 56 53 54 48 D:46 54 51 48 53 44 E:56 61 51 58 63 49 16:44 BFF A
- How many ways are there to pack ten identical moon cakes into three indistinguishable boxes so that each box contains at least two moon cakes? Show your calculations.Comment: for this problem, a solution based on a “brute-force” enumeration of the relevant configurations is acceptable.At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.In an OLG model with money: Each gen picks 12 bananas when young, 0 bananas when old. Central bank prints out 2 units of money, given to gen 0 for free. a) The population of this economy is in each period. b) The real GDP of this economy is bananas each period. c) The price level of this economy is 1 bananas = money.
- 8. You blindfold your friend. You give him a bowl that contains seven green balls and five yellow balls. What is the minimum number of balls your friend needs to pick to be sure that they pick out all five yellow balls? (The balls are selected without replacement - once a ball is chosen it is not put back into the bowl).184 Selected, ted, and wth t Framing Material by lan ynch, Lake land College ISSUE 2) A company produces three different types of wrenches: WI, W2, and W3. It has a firm order for 2,000 WI wrenches, 3,750 W2 wrenches, and 1,85o W3 wrenches. Betweem now and the delivery date, the company has only 17,500 brication hours and 1,600 inspection hours. The time that each wrench requires in cach departmeat is shown in the table for this problem. Also shown are the costs tomanufacture the wrenches in-hese and the costs to eutsource them. For labelling consideration, the company wants to manufacture in-house at least 60% of cach type of wrench that will be shipped. How many wrenches should be outsourced? What will be the lotal cost to satisfy the order? Wrench WI W2 225 325 3.75 Fabrication Hours Inepection Hours In-ouse Cost 1025 0.30 T045 S17.00 S19.00 $22.00 Outscurce Cost S19.00 521.00 524.00A school class of 150 students is driven in 4 buses to a theater. There are 44 students in one of the buses, 38 in another, 32 in the third bus, and 36 in the fourth bus. When the buses arrive, one of the 150 students is randomly chosen. Let X be the number of students that were on the bus taken by that randomly chosen student. What is the smallest possiblc valuc that X could take on? О 32 O 38 O 36
- Suppose that you randomly selected 24 adults. Assume 16% of the population smoke. Round all answers to 2 decimal places. a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 24 adults? b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 24 adults? c) Would it be unusual to randomly select 24 adults and get 12 smokers? No, since 12 is between the maximum and minimum usual values. Yes, since 12 is not between the maximum and minimum usual values.2) A class has 25 students. Each day, three students are chosen to present their work at the board. In total, how many such 3 student groups are possible?There were 550 people registered for a conference. There were only three sessions, whichwere held at different times during the day. No session times conflicted with any othersession time. A post-conference survey that the attendees completed showed that:❖ 500 people attended Session A❖ 450 people attended Session B❖ 425 people attended Session C❖ 400 people attended both Sessions A and B❖ 410 people attended both Sessions B and C❖ 415 people attended both Sessions A and C❖ 390 people attended all three sessions A, B, and CFor the following questions, you may create a Venn Diagram at the bottom or showyour calculations to explain your reasoning.a) How many people attended none of the three sessions? Explain. b) How many people attended Session A but not Sessions B or C? Explain. c) How many people attended exactly two sessions? Explain.
