Find the mean. variance, and standard deviation of the following probability distribution then interpret the computed values. 3. Number of monthly absences of Juan Dela Cruz based on his previous records of]absences as presented in the probability distribution below.Number of Absences (X)3Percent P(x)25%430%30%15%

Let X be the random variable having probability mass function is, Number of absence (X) percent…

Answered: 3. Number of monthly absences of Juan…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 1E

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Find the mean. variance, and standard deviation of the following probability distribution then interpret the computed values.

3. Number of monthly absences of Juan Dela Cruz based on his previous records of]
absences as presented in the probability distribution below.
Number of Absences (X)
3
Percent P(x)
25%
4
30%
30%
15%

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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