Choose at random a young adult aged 19 to 22 years. Ask their age and where they live (with their parents, in their own place, or in some other place such as a college dormitory). Here is the probability model for the 12 possible answers: The next 3 problems use this probability model. Where do young people live? (a) Why is this a legitimate discrete probability model? (b) What is the probability that the person chosen is a 19-year-old who lives in his or her own place? (c) What is the probability that the person is 19 years old?
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.
Choose at random a young adult aged 19 to 22 years. Ask their age and where they live (with their parents, in their own place, or in some other place such as a college dormitory). Here is the
The next 3 problems use this probability model.
- Where do young people live?
(a) Why is this a legitimate discrete probability model?
(b) What is the probability that the person chosen is a 19-year-old who lives in his or her own place?
(c) What is the probability that the person is 19 years old?
(d) What is the probability that the person chosen lives in his or her own place?
- Where do young people live, continued.
(a) List the outcomes that make up the event
A = {the person chosen is either 19 years old or lives in his or her own place, or both}
(b) What is P(A)? Explain carefully why P(A) is not the sum of the probabilities you found in parts (c) and (d) of the previous exercise.
- Where do young people live, continued.
(a) What is the probability that the person chosen is 21 years old or older?
(b) What is the probability that the person chosen does not live with his or her parents?
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