Suppose that the following is the probability distribution of x, the amount of coffee (in pounds) that a person can win with a raffle ticket. x 01510P(x)0.750.1990.050.001 Find the mean value of x.Interpret the answer to (a) in plain language.

Given : X P(X) 0 0.75 1 0.199 5 0.05 10 0.001

Answered: uppose that the following is the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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Suppose that the following is the probability distribution of x, the amount of coffee (in pounds) that a person can win with a raffle ticket.

x	0	1	5	10
P(x)	0.75	0.199	0.05	0.001

Find the mean value of x.
Interpret the answer to (a) in plain language.

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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uppose that the following is the probability distribution of x, the amount of coffee (in pounds) that a person can win with a raffle ticket. x 0 1 5 10 P(x) 0.75 0.199 0.05 0.001 Find the mean value of x. Interpret the answer to (a) in plain language.