4. Make a “tree” diagram for the following scenario. You go to the corner of State St. and Center Ave and are looking to see if the drivers of the first three cars that pass by you are wearing hats or not wearing hats. a) Generate the probability distribution for problem number 4 assuming that the probability of a driver wearing a hat is 40% and the random variable x is the number of drivers wearing a hat. b) Find the mean, variance and the standard deviation of the probability distribution in part a. Please show all work.
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.
4. Make a “tree” diagram for the following scenario. You go to the corner of State St. and Center Ave and are looking to see if the drivers of the first three cars that pass by you are wearing hats or not wearing hats.
a) Generate the probability distribution for problem number 4 assuming that the probability of a driver wearing a hat is 40% and the random variable x is the number of drivers wearing a hat.
b) Find the mean, variance and the standard deviation of the probability distribution in part a.
Please show all work.
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