(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
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
Related questions
Question
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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