Hi, how to illustrate the mean, variance and standard deviation? Can you show me the solution. The formula is written on a yellow paper. Thank you NO:DATEFORMULAEXPECT VAUME OR MEAN VAMEE(X) = Pe= Xq P(Xx)+Xz P(X2)+ ... t Xn .P(Xn) Ex.PX)%3DVARIANCEVar (x) = ox= E (x-Kx)? .P&x)all possiblevaluies of xSTANDARD VARIANICE) DEVIATIONVar Cx)vox?or Solution:Independent Activity 3: study and analyzeSuppose that a coin is to be tossed four times, and let X represent "the number ofTAILS that can come up". Find the mean, variance, and standard deviation of thisdistribution.4P(X)46.3.4or16or16or16168.161/4391/41.

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Description: Hi, how to illustrate the mean, variance and standard deviation? Can you show me the solution. The formula is written on a yellow paper. Thank you NO:DATEFORMULAEXPECT VAUME OR MEAN VAMEE(X) = Pe= Xq P(Xx)+Xz P(X2)+ ... t Xn .P(Xn) Ex.PX)%3DVARIANCEV

From the provided information, X P(X=x) 0 1/16 1 1/4 2 3/8 3 1/4 4…

Answered: Independent Activity 3: Study and…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Hi, how to illustrate the mean, variance and standard deviation? Can you show me the solution. The formula is written on a yellow paper. Thank you

NO:
DATE
FORMULA
EXPECT VAUME OR MEAN VAME
E(X) = Pe
= Xq P(Xx)+Xz P(X2)+ ... t Xn .P(Xn) Ex.PX)
%3D
VARIANCE
Var (x) = ox= E (x-Kx)? .P&x)
all possible
valuies of x
STANDARD VARIANICE) DEVIATION
Var Cx)
vox?
or

Solution:
Independent Activity 3: study and analyze
Suppose that a coin is to be tossed four times, and let X represent "the number of
TAILS that can come up". Find the mean, variance, and standard deviation of this
distribution.
4
P(X)
4
6.
3.
4
or
16
or
16
or
16
16
8.
16
1/4
39
1/4
1.

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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Independent Activity 3: Study and analyze Suppose that a coin is to be tossed four times, and let X represent "the number of TAILS that can come up". Find the mean, variance, and standard deviation of this distribution. 1 4 3. or 16 1 4. 1 4 or 16 P(X) or 16 16 16 1/4 14