Question

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, 2200 germinated. (a) Use relative frequencies to estimate the probability that a seed will germinate. What is your estimate? (Enter your answer to 3 decimal places.)

Answer 1

`n = 3000` seeds planted in the farm

From these 3000 we know that only 2200 germinated

In order to determine the probability that a seed will germinate we can use the definition of probability given by:

`p =(Possible)/(Total)`

From this definition we need to divide the possible cases by the total cases and for this case if we replace we got:

`p =(2200)/(3000)= 0.733`

So then the probability that the seed will germinate is 0.733 from the sample data obtained

Explanation:

For this case we know that the sample size is:

`n = 3000` seeds planted in the farm

From these 3000 we know that only 2200 germinated

In order to determine the probability that a seed will germinate we can use the definition of probability given by:

`p =(Possible)/(Total)`

From this definition we need to divide the possible cases by the total cases and for this case if we replace we got:

`p =(2200)/(3000)= 0.733`

So then the probability that the seed will germinate is 0.733 from the sample data obtained