Statistics 101 - Probability distributions
Antoine Soetewey
Distribution:
Beta
Binomial
Cauchy
Chi-square
Exponential
Fisher
Gamma
Geometric (I)
Geometric (II)
Hypergeometric
Logistic
Log-Normal
Negative Binomial (I)
Negative Binomial (II)
Normal
Poisson
Student
Weibull
Shape \(\alpha\):
Shape \(\beta\):
Number of trials \(n\):
Probability of success \(p\):
Location \(x_0\):
Scale \(\gamma\):
Degrees of freedom \(df\):
Rate \(\lambda\):
Degrees of freedom \(df_1\):
Degrees of freedom \(df_2\):
Shape \(\alpha\):
Rate \(\beta\):
Probability of success \(p\):
Probability of success \(p\):
Sample size \(n\):
Total number of objects \(N\):
Number of successes \(M\):
Location \(\mu\):
Scale \(s\):
Mean \(\mu\):
Variance \(\sigma^2\)
Standard deviation \(\sigma\)
Variance \(\sigma^2\):
Standard deviation \(\sigma\):
Number of successes \(r\):
Probability of success \(p\):
Number of successes \(r\):
Probability of success \(p\):
Mean \(\mu\):
Variance \(\sigma^2\)
Standard deviation \(\sigma\)
Variance \(\sigma^2\):
Standard deviation \(\sigma\):
Rate \(\lambda\):
Degrees of freedom \(df\):
Shape \(\alpha\):
Scale \(\beta\):
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
Lower tail : \(P(X \leq x)\)
Upper tail : \(P(X > x)\)
Interval : \(P(a \leq X \leq b)\)
x:
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a:
b: \( (a \leq b) \)
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a:
b: \( (a \leq b) \)
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b: \( (a \leq b) \)
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x:
a:
b: \( (a \leq b) \)
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b: \( (a \leq b) \)
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b: \( (a \leq b) \)
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b: \( (a \leq b) \)
Number of failures before the \(1^{st}\) success
x:
Number of failures before the \(1^{st}\) success
x:
Number of failures before the \(1^{st}\) success
a:
b: \( (a \leq b) \)
The trial on which the \(1^{st}\) success occurs
x:
The trial on which the \(1^{st}\) success occurs
x:
The trial on which the \(1^{st}\) success occurs
a:
b: \( (a \leq b) \)
x:
x:
a:
b: \( (a \leq b) \)
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b: \( (a \leq b) \)
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b: \( (a \leq b) \)
Number of failures before the \(r^{th}\) success
x:
Number of failures before the \(r^{th}\) success
x:
Number of failures before the \(r^{th}\) success
a:
b: \( (a \leq b) \)
The trial on which the \(r^{th}\) success occurs
x: \( (x \geq r) \)
The trial on which the \(r^{th}\) success occurs
x: \( (x \geq r) \)
The trial on which the \(r^{th}\) success occurs
a: \( (a \geq r) \)
b: \( (r \leq a \leq b) \)
x:
x:
a:
b: \( (a \leq b) \)
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x:
a:
b: \( (a \leq b) \)
x:
x:
a:
b: \( (a \leq b) \)
x:
x:
a:
b: \( (a \leq b) \)
Solution:
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Details:
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