Question: A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants. However, there are some concerns 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 were planted in warm moist soil. Of these seeds, 2430 germinated.

(a) Use relative frequencies to estimate the probability that a seed will germinate. What is the estimate?

(b) Use relative frequencies to estimate the probability that a seed will not germinate. What is the estimate?

(c) Either a seed germinates, or it doesn’t. What is the sample space in this problem? Do the probabilities assigned to the sample space add up to 1? Explain.

(d) Are the outcomes in the sample space of part (c) equally likely?