defcaluvulate the mean ang standard deviations of the distribution MAT 153Pepsi Pepsi PepsiThree students volunteer for a taste test comparing Coke and Pepsi. Each student tastes samplesin two identical-looking cups and decides which beverage he or she prefers.Assume that the students make selections independently of one another. Suppose the probabilityof picking Pepsi is 3/5 and the probability of picking Coke is 2/5 for all three students. Thetasters are referred to as first, second and third. One possible outcome of the experiment is thatthe first and second students pick Pepsi and the third student picks Coke. The probability of thisoccurring 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 theexperiment. paco Tor he oucomes of the experiment.(HINT: There should be a total of 8 outcomes.)Define the probability distribution with X-number of Pepsi selections of an outcomeCalculate the mean (expected value) and standard deviation of the distribution.Interpret the meaning of the mean and standard deviation.

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Answered: MAT 153 Pepsi Pepsi Pepsi Three…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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defcaluvulate the mean ang standard deviations of the distribution

MAT 153
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.

paco Tor he oucomes 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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