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 Cepheid variable star is a star whose brightness alternately
increases and decreases. The most easily visible such
star is Delta Cephei, for which the interval between times of
maxi mum brightness is 5.4 days. The average brightness of
this star is 4.0 and its brightness changes by ± 0.35 . In view
of these data, the brightness of Delta Cephei at time t , where
t is measured in days, has been modeled by the function given below
(a) Find the rate of change of the brightness after days.
(b) Find, correct to two decimal places, the rate of increase
after one day.
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