Most coffee drinkers take a little time each day for their favorite beverage, and many take more than one coffee break every day. The table below, adapted from a Snapshot in USA Today, shows the probability distribution for x, the number of daily coffee breaks taken per day by coffee drinkers. (3 marks) X 0 1 2 3 4 5 x. P(X) 0.28 0.37 0.17 0.12 0.05 0.01 a) What is the probability that a randomly selected coffee drinker would take more than two coffee breaks during the day? b) Calculate the mean and standard deviation for the random variable x
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.
Q-2: Most coffee drinkers take a little time each day for their favorite beverage, and many take more than one coffee break every day. The table below, adapted from a Snapshot in USA Today, shows the probability distribution for x, the number of daily coffee breaks taken per day by coffee drinkers. (3 marks)
X 0 1 2 3 4 5
x. P(X) 0.28 0.37 0.17 0.12 0.05 0.01
a) What is the probability that a randomly selected coffee drinker would take more than two coffee breaks during the day?
b) Calculate the mean and standard deviation for the random variable x.
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