A botanist has developed a new hybrid cotton plant that canwithstand insects better than other cotton plants. However, thereis some concern about the germination of seeds from the new plant. To estimate the probability that a seed from the new plant willgerminate, a random sample of 3000 seeds was planted in warm, moistsoil. Of these seeds 2430 germinated.

(a) Use relative frequencies to estimate the probabilty that aseed will germinate. What is your estimate?

(B) Use relative frequencies to estimate the probabitythat a seed will not germinate. What is your estimate?

(C) Either a seed germinated or it does not. What is thesample space in this problem? Do the probailities assigned to thesample space add up to 1? Should they add up to 1? Explain.

(D) Are the outcomes in the sample space of part (c) equallylikely?

Question

Mathematics

Stella Berger

12 April, 18:10

A botanist has developed a new hybrid cotton plant that canwithstand insects better than other cotton plants. However, thereis some concern about the germination of seeds from the new plant. To estimate the probability that a seed from the new plant willgerminate, a random sample of 3000 seeds was planted in warm, moistsoil. Of these seeds 2430 germinated.

(a) Use relative frequencies to estimate the probabilty that aseed will germinate. What is your estimate?

(B) Use relative frequencies to estimate the probabitythat a seed will not germinate. What is your estimate?

(C) Either a seed germinated or it does not. What is thesample space in this problem? Do the probailities assigned to thesample space add up to 1? Should they add up to 1? Explain.

(D) Are the outcomes in the sample space of part (c) equallylikely?

+4

Answers (1)

Know the Answer?

Tucker Kim · Answer 1

A) Probability P (a seed will germinate) = 0.81

My estimate is 2430 seeds.

B) Probability P (seeds will not germinate) = 0.19

My estimate was 570 seeds

C) Sample space are:

Seeds that germinated=2430 seeds.

Seeds that will not germinate = 570 seeds.

Yes, the total Probability added up to 1

D) No, they are not.

Step-by-step explanation:

Probability P (a seed will germinate) = 2430/3000 = 0.81

B) Probability P (a seed will not germinate) = (3000 - 2430) / 3000 = 570/3000 = 0.19

C) T0tal Probability = 0.81 + 0.19 = 1