Chapter 4 Hw Biostatistics Answers

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CHAPTER 4 HW Due: Wednesday 2/15/11 Answer ALL questions by hand (i.e., show your work): 1. List three methods of assigning probabilities. (1 point) Equally likely outcomes, relative frequency, intuition 2. A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants. However, there is some concern about the germination of seeds from the new plant. To estimate the probability that a seed from the new plant will germinate, a random sample of 3000 seeds was planted in warm, moist soil. Of these seeds, 2430 germinated. (4 possible points) a) Either the seed will germinate or it will not. What is the sample space in this problem? Should the probabilities assigned to the sample space add up to 1? Explain. Geminate or not germinate. Yes they should add to 1 because those are the only outcomes. b) Are the outcomes in the sample space or part (a) equally likely? No. The seeds are more likely to germinate. c) Use relative frequencies to estimate the probability that a seed will germinate. What is your estimate? P(germinate) = d) Use relative frequencies to estimate that the seed will not germinate. P(not germinate) = 3. Roll a (fair, six-sided) Die: (4 possible points) a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? Sample space: 1,2,3,4,5,6; They are equally likely. b) Assign probabilities to the outcomes of the sample space in part (a). Do the probabilities add up to 1? Should they add up to 1? Explain. 1/6 for each outcome. Yes they add up to 1. Yes they should because each of the 6 sides is equally likely and represents all of the possible outcomes. The probability of rolling either 1,2,3,4,5 or 6 = 1. c) What is the probability of getting a number less than 5 on a

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