Jenny is an elementary school student and her father Jack works near her school. Every day, Jack sends Jenny to school first, and then he drives to work. According the experience from the past, Jenny has 90% chance of being school on time, and Jack has 80% chance of arriving to work on time. However, when Jenny is late to school, Jack has 60% chance of being late to work. (a)In a particular day, what is the probability that both Jenny and Jack are late? (b)In a particular day, what is the probability that Jenny arrives school on time but Jack is late to work? (c)Is the lateness of Jenny and Jack independent? Why?
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.
Jenny is an elementary school student and her father Jack works near her school. Every day,
Jack sends Jenny to school first, and then he drives to work. According the experience from
the past, Jenny has 90% chance of being school on time, and Jack has 80% chance of arriving
to work on time. However, when Jenny is late to school, Jack has 60% chance of being late to
work.
(a)In a particular day, what is the probability that both Jenny and Jack are late?
(b)In a particular day, what is the probability that Jenny arrives school on time
but Jack is late to work?
(c)Is the lateness of Jenny and Jack independent? Why?
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