LOG PROBLEM
If 77 out of 200 people vote yes on a bill, what is the probability that one of the people voted yes?
Great Expectations
Page 17
1a) 135 yes, 165 no. The majority will vote no.
1b) 77/200 = 0.385 = 38.5%
Page 18
2)
East:
Yes-60
No-40
Total-100
Total:
Yes-180
No-120
Total-300
3)
a)
West:
Yes-77
No-123
Total-200
East:
Yes-58
No-42
Total-100
Total:
Yes-135
No-165
Total-300
3b)People in the east are more in favor than people in the west. There is a higher percentage of people in the east that voted yes. 58 out of 100, 58%.
3c) Yes, there is a connection. There is a much larger percentage in favor of the bridge on the east side. 58% compared to 38.5%
Page 21
10)The test was designed in such a complicated way so that it would be easy to determine whether the repellent really works. The group whose lotion contains repellent (experimental group) can be compared to the group whose lotion does not contain repellent (the control group). It is important for people not to know which group they are in so that the results are unbiased.
11a) 200 people
11b) 41 people received repellent and were bitten anyway, 79 people received repellent and were not bitten, and a total of 120 people were given repellent.
11c)
Region 1: With repellent, 34% were bitten; without repellent 66% were bitten
Region 2: With repellent, 64% were bitten; without repellent 64% were bitten
Region 3: With repellent, 77% were bitten; without repellent 70% were bitten
Region 4: With repellent, 45% were bitten; without repellent 68% were bitten
The repellent seemed to work the best for Region 1.
Page 22
12a) 16/40 = 0.4 = 40%
12b) 20/40 = 0.5 = 50%
13a)
Blue: square-4, pyramid-4, cylinder-12, total-20
Orange: square-12, pyramid-5, cylinder-3, total-20
Total: square-16, pyramid-9, cylinder-15, total-40
13b) Koko seems to like orange cubes better than blue cubes. (12/16 are orange; 75%)
She prefers blue cyliders as well. (12/15 = 80%)
14) The probability is 20/40 or 50% because half the blocks are orange.
15) The probability is 12/16 or 75% because 12 of the 16 cubes are orange.
16) Pyramid is the shape because there are about as many blue as orange pyramids.
