The following data set shows the probability distribution for a survey conducted to determine the number of bedrooms in the respondent’s household. Number of bedrooms Probability 3 0.25 4 0.55 5 0.15 6 0.05 Total 1 (i) Calculate the mean of the probability distribution. (ii) Calculate the variance and standard deviation of this probability distribution.
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.
The following data set shows the
Number of bedrooms Probability
3 0.25
4 0.55
5 0.15
6 0.05
Total 1
(i) Calculate the
(ii) Calculate the variance and standard deviation of this probability
distribution.
Step by step
Solved in 3 steps with 4 images
