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? 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. Yes, because they cover the entire sample space. Yes, because they do not cover the entire sample space. No, because they cover the entire sample space. No, because they do not cover the entire sample space. (d) Are the outcomes in the sample space of part (c) equally likely? yes no
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
(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
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.
Yes, because they cover the entire sample space.
Yes, because they do not cover the entire sample space.
No, because they cover the entire sample space.
No, because they do not cover the entire sample space.
(d) Are the outcomes in the sample space of part (c) equally likely?
yes
no
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