I need help with the following application: Pepsi Pepsi Pepsi Three students volunteer for a taste test comparing Coke and Pepsi. Each student tastes samples in two identical-looking cups and decides which beverage he or she prefers. Assume that the students make selections independently of one another. Suppose the probability of picking Pepsi is 3/5 and the probability of picking Coke is 2/5 for all three students. The tasters are referred to as first, second and third. One possible outcome of the experiment is that the first and second students pick Pepsi and the third student picks Coke. The probability of this occurring is 3/5 x 3/5 x 2/5. Let the random variable x equal the number of Pepsi selections for any given outcome of the experiment. Construct a tree diagram and sample space for the outcomes of the experiment. (HINT: There should be a total of 8 outcomes.) Define the probability distribution with X=number of Pepsi selections of an outcome.Calculate the mean (expected value) and standard deviation of the distribution. Interpret the meaning of the mean and standard deviation.
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.
I need help with the following application:
Pepsi Pepsi Pepsi
Three students volunteer for a taste test comparing Coke and Pepsi. Each student tastes samples in two identical-looking cups and decides which beverage he or she prefers.
Assume that the students make selections independently of one another. Suppose the
Let the random variable x equal the number of Pepsi selections for any given outcome of the experiment.
- Construct a tree diagram and sample space for the outcomes of the experiment.
(HINT: There should be a total of 8 outcomes.)
- Define the probability distribution with X=number of Pepsi selections of an outcome.
Calculate themean (expected value ) and standard deviation of the distribution.
- Interpret the meaning of the mean and standard deviation.
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