Discrete Probability Model X= the total number of heads out of three tosses of a certain unfair coin # Heads xi Probability pi Xi * pi [ Xi - E(X) ]2 * pi 3 51.2% 1.536 0.18432 38.4% 0.768 0.06144 1 9.6% 0.096 0.18816 0.8% 0.000 0.04608 Expected Value: 2.4 Variance: 0.48 Standard Deviation: 0.6928 . Σ o'x = 2 (x, - ux . VVar(X) E(X) = µx Var(X) = oʻx SD(X) = 0x
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Showing one digit past the decimal point: In this discrete
Write your answer value in percentage format, and include a percentage symbol at the end (with no spaces).
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![9:42 PM Wed May 12
* 86%
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DATASET - Discrete Probability Models.xlsx
Discrete Probability Model
X= the total number of heads out of three tosses of a certain unfair coin
# Heads xi
Probability pi
Xі * рі
[ Xi - E(X) ]2 * pi
3
51.2%
1.536
0.18432
2
38.4%
0.768
0.06144
1
9.6%
0.096
0.18816
0.8%
0.000
0.04608
Expected Value:
2.4
Variance:
0.48
Standard Deviation:
0.6928
E(X)
2 x; 2
2 (x, - ux) ,
VVar(X)
Var(X)
o²,
SD(X) =
O x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa0f8a25-b6e4-4057-9f3d-4fa034b5aac6%2F963b74a9-8679-4e49-a98e-df8eb1d81226%2Fgxwdhkb_processed.jpeg&w=3840&q=75)
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