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(a) Assuming that the time interval includes the left limit and all the times u to but not including the right limit, estimate the probability that an inven- tor has a best idea during each time interval: from 6 A.M. to 12 noon, from Dwon 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A M (b) Do the probabilities of part (a) add up to 1? Why should they? What is the sample space in this problem? 20. | Agriculture: Cotton 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. (a) Use relative frequencies to estimate the probability that a seed will germi- nate. What is your estimate? (b) Use relative frequencies to estimate the probability that a seed will not germinate. What is (c) Either a seed germinates or it does not. What is the sample space in this problem? Do the probabilities assigned to the sample space add up to 1? Should they add up to 1? Explain. (d) Are the outcomes in the sample space of part (c) equally likely? dsdal (M.8.: to seU your estimate? obr obnsh 21. | Expand Your Knowledge: Odds in Favor Sometimes probability state- ments are expressed in terms of odds. P(A) P(A) The odds in favor of an event A are the ratio

(a) Assuming that the time interval includes the left limit and all the times u to but not including the right limit, estimate the probability that an inven- tor has a best idea during each time interval: from 6 A.M. to 12 noon, from Dwon 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A M (b) Do the probabilities of part (a) add up to 1? Why should they? What is the sample space in this problem? 20. | Agriculture: Cotton 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. (a) Use relative frequencies to estimate the probability that a seed will germi- nate. What is your estimate? (b) Use relative frequencies to estimate the probability that a seed will not germinate. What is (c) Either a seed germinates or it does not. What is the sample space in this problem? Do the probabilities assigned to the sample space add up to 1? Should they add up to 1? Explain. (d) Are the outcomes in the sample space of part (c) equally likely? dsdal (M.8.: to seU your estimate? obr obnsh 21. | Expand Your Knowledge: Odds in Favor Sometimes probability state- ments are expressed in terms of odds. P(A) P(A) The odds in favor of an event A are the ratio

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(a) Assuming that the time interval includes the left limit and all the times u to but not including the right limit, estimate the probability that an inven- tor has a best idea during each time interval: from 6 A.M. to 12 noon, from Dwon 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A M (b) Do the probabilities of part (a) add up to 1? Why should they? What is the sample space in this problem? 20. | Agriculture: Cotton 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. (a) Use relative frequencies to estimate the probability that a seed will germi- nate. What is your estimate? (b) Use relative frequencies to estimate the probability that a seed will not germinate. What is (c) Either a seed germinates or it does not. What is the sample space in this problem? Do the probabilities assigned to the sample space add up to 1? Should they add up to 1? Explain. (d) Are the outcomes in the sample space of part (c) equally likely? dsdal (M.8.: to seU your estimate? obr obnsh 21. | Expand Your Knowledge: Odds in Favor Sometimes probability state- ments are expressed in terms of odds. P(A) P(A) The odds in favor of an event A are the ratio
Transcribed Image Text:(a) Assuming that the time interval includes the left limit and all the times u to but not including the right limit, estimate the probability that an inven- tor has a best idea during each time interval: from 6 A.M. to 12 noon, from Dwon 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A M (b) Do the probabilities of part (a) add up to 1? Why should they? What is the sample space in this problem? 20. | Agriculture: Cotton 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. (a) Use relative frequencies to estimate the probability that a seed will germi- nate. What is your estimate? (b) Use relative frequencies to estimate the probability that a seed will not germinate. What is (c) Either a seed germinates or it does not. What is the sample space in this problem? Do the probabilities assigned to the sample space add up to 1? Should they add up to 1? Explain. (d) Are the outcomes in the sample space of part (c) equally likely? dsdal (M.8.: to seU your estimate? obr obnsh 21. | Expand Your Knowledge: Odds in Favor Sometimes probability state- ments are expressed in terms of odds. P(A) P(A) The odds in favor of an event A are the ratio
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