to but not inciuding the rignt nmt, esuate ue piay a an inven- tor has a best id
ID: 3366445 • Letter: T
Question
to but not inciuding the rignt nmt, esuate ue piay a an inven- tor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6A.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 your estimate? (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 l? Should they add up to 1? Explain. (d) Are the outcomes in the sample space of part (c) equally likely? hit:ts, statements
Explanation / Answer
Question 20
Part a
We are given
Total number of seeds = n = 3000
Total number of germinated seeds = x = 2430
Related frequency = required probability = 2430/3000 = 0.81
Estimate for probability = 0.81
Part b
We are given
Total number of seeds = n = 3000
Total number of seeds do not germinated = x = 3000 – 2430 = 570
Related frequency = required probability = 570/3000 = 0.19
Estimate for probability = 0.19
Part c
For the given scenario, the sample in this problem is given as 3000 seeds. The probabilities assigned to the sample space do add up to 1. They should add up to 1, because we know that total probability of any sample space is 1. The sum of all probabilities should be 1.
Part d
Yes, all outcomes in the sample space are equally likely, because each outcome have same chance of being selected. Each seed has same probability of germination.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.