Question

In: Statistics and Probability

A botanist has developed a new hybrid cotton plant that can withstand insects better than other...

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, 2060 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.)


(b) Use relative frequencies to estimate the probability that a seed will not germinate. What is your estimate? (Enter your answer to 3 decimal places.)


(c) Either a seed germinates or it does not. What is the sample space in this problem? SELECT

germinate

germinate or not germinate   

not germinate

Do the probabilities assigned to the sample space add up to 1? Should they add up to 1? Explain.

a) Yes, because they cover the entire sample space.

b)Yes, because they do not cover the entire sample space.   

c) No, because they cover the entire sample space.

d) No, because they do not cover the entire sample space.


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

yes

no    

Solutions

Expert Solution

First we estimate the probability that seeds germinates and probability that seed does not germinate using the formula mentioned. Then we define the sample space. For question d. as the probabilty of seed that germinate and do not germinate are not equal , we can conclude that they are not equally likely.

orchestra answered 1 year ago
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