A psychology teacher teaches two statistics classes back-to-back, lecture L1 at 09:00 am and lecture CL1 at 10 am. Suppose the probability that the instructor gives a good L1 lecture is 0.25. If L1 lecture is good, then CL1 lecture is also good with probability 0.50. However, if L1 lecture is bad, then there is an 90% chance that CL1 lecture will also be bad. a) What proportion of the CL1 lectures are good? b) Suppose CL1 lecture was good. What is the probability that L1 lecture was also good?
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 psychology teacher teaches two statistics classes back-to-back,
lecture L1 at 09:00 am and lecture CL1 at 10 am. Suppose the
lecture is good, then CL1 lecture is also good with probability 0.50.
However, if L1 lecture is bad, then there is an 90% chance that CL1 lecture will also be bad.
a) What proportion of the CL1 lectures are good?
b) Suppose CL1 lecture was good. What is the probability that L1
lecture was also good?
c) What is the probability that at least one lecture is good (i.e., either
L1 lecture is good or CL1 lecture is good, or both)?
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