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 35 х 35 х 25. Let the random variable x equal the number of Pepsi selections for any given outcome of the experiment
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Construct a tree diagram and
Define the probability distribution with X=number of Pepsi selections of an outcome.
Calculate the
Interpret the meaning of the mean and standard deviation.
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