distribution_type
stringclasses 5
values | parameters
stringlengths 36
45
| description
stringlengths 36
72
| description_id
int64 0
100
| difficulty
stringclasses 1
value | __index_level_0__
int64 0
100
|
|---|---|---|---|---|---|
normal
|
{"type": "normal", "mean": -5, "std": 0.5}
|
A normal (Gaussian) distribution with mean -5 and standard deviation 0.5
| 0
|
BASIC
| 0
|
normal
|
{"type": "normal", "mean": -5, "std": 1}
|
A normal (Gaussian) distribution with mean -5 and standard deviation 1
| 1
|
BASIC
| 1
|
normal
|
{"type": "normal", "mean": -5, "std": 2}
|
A normal (Gaussian) distribution with mean -5 and standard deviation 2
| 2
|
BASIC
| 2
|
normal
|
{"type": "normal", "mean": -5, "std": 3}
|
A normal (Gaussian) distribution with mean -5 and standard deviation 3
| 3
|
BASIC
| 3
|
normal
|
{"type": "normal", "mean": -5, "std": 5}
|
A normal (Gaussian) distribution with mean -5 and standard deviation 5
| 4
|
BASIC
| 4
|
normal
|
{"type": "normal", "mean": -2, "std": 0.5}
|
A normal (Gaussian) distribution with mean -2 and standard deviation 0.5
| 5
|
BASIC
| 5
|
normal
|
{"type": "normal", "mean": -2, "std": 1}
|
A normal (Gaussian) distribution with mean -2 and standard deviation 1
| 6
|
BASIC
| 6
|
normal
|
{"type": "normal", "mean": -2, "std": 2}
|
A normal (Gaussian) distribution with mean -2 and standard deviation 2
| 7
|
BASIC
| 7
|
normal
|
{"type": "normal", "mean": -2, "std": 3}
|
A normal (Gaussian) distribution with mean -2 and standard deviation 3
| 8
|
BASIC
| 8
|
normal
|
{"type": "normal", "mean": -2, "std": 5}
|
A normal (Gaussian) distribution with mean -2 and standard deviation 5
| 9
|
BASIC
| 9
|
normal
|
{"type": "normal", "mean": -1, "std": 0.5}
|
A normal (Gaussian) distribution with mean -1 and standard deviation 0.5
| 10
|
BASIC
| 10
|
normal
|
{"type": "normal", "mean": -1, "std": 1}
|
A normal (Gaussian) distribution with mean -1 and standard deviation 1
| 11
|
BASIC
| 11
|
normal
|
{"type": "normal", "mean": -1, "std": 2}
|
A normal (Gaussian) distribution with mean -1 and standard deviation 2
| 12
|
BASIC
| 12
|
normal
|
{"type": "normal", "mean": -1, "std": 3}
|
A normal (Gaussian) distribution with mean -1 and standard deviation 3
| 13
|
BASIC
| 13
|
normal
|
{"type": "normal", "mean": -1, "std": 5}
|
A normal (Gaussian) distribution with mean -1 and standard deviation 5
| 14
|
BASIC
| 14
|
normal
|
{"type": "normal", "mean": 0, "std": 0.5}
|
A normal (Gaussian) distribution with mean 0 and standard deviation 0.5
| 15
|
BASIC
| 15
|
normal
|
{"type": "normal", "mean": 0, "std": 1}
|
A normal (Gaussian) distribution with mean 0 and standard deviation 1
| 16
|
BASIC
| 16
|
normal
|
{"type": "normal", "mean": 0, "std": 2}
|
A normal (Gaussian) distribution with mean 0 and standard deviation 2
| 17
|
BASIC
| 17
|
normal
|
{"type": "normal", "mean": 0, "std": 3}
|
A normal (Gaussian) distribution with mean 0 and standard deviation 3
| 18
|
BASIC
| 18
|
normal
|
{"type": "normal", "mean": 0, "std": 5}
|
A normal (Gaussian) distribution with mean 0 and standard deviation 5
| 19
|
BASIC
| 19
|
normal
|
{"type": "normal", "mean": 1, "std": 0.5}
|
A normal (Gaussian) distribution with mean 1 and standard deviation 0.5
| 20
|
BASIC
| 20
|
normal
|
{"type": "normal", "mean": 1, "std": 1}
|
A normal (Gaussian) distribution with mean 1 and standard deviation 1
| 21
|
BASIC
| 21
|
normal
|
{"type": "normal", "mean": 1, "std": 2}
|
A normal (Gaussian) distribution with mean 1 and standard deviation 2
| 22
|
BASIC
| 22
|
normal
|
{"type": "normal", "mean": 1, "std": 3}
|
A normal (Gaussian) distribution with mean 1 and standard deviation 3
| 23
|
BASIC
| 23
|
normal
|
{"type": "normal", "mean": 1, "std": 5}
|
A normal (Gaussian) distribution with mean 1 and standard deviation 5
| 24
|
BASIC
| 24
|
normal
|
{"type": "normal", "mean": 2, "std": 0.5}
|
A normal (Gaussian) distribution with mean 2 and standard deviation 0.5
| 25
|
BASIC
| 25
|
normal
|
{"type": "normal", "mean": 2, "std": 1}
|
A normal (Gaussian) distribution with mean 2 and standard deviation 1
| 26
|
BASIC
| 26
|
normal
|
{"type": "normal", "mean": 2, "std": 2}
|
A normal (Gaussian) distribution with mean 2 and standard deviation 2
| 27
|
BASIC
| 27
|
normal
|
{"type": "normal", "mean": 2, "std": 3}
|
A normal (Gaussian) distribution with mean 2 and standard deviation 3
| 28
|
BASIC
| 28
|
normal
|
{"type": "normal", "mean": 2, "std": 5}
|
A normal (Gaussian) distribution with mean 2 and standard deviation 5
| 29
|
BASIC
| 29
|
normal
|
{"type": "normal", "mean": 5, "std": 0.5}
|
A normal (Gaussian) distribution with mean 5 and standard deviation 0.5
| 30
|
BASIC
| 30
|
normal
|
{"type": "normal", "mean": 5, "std": 1}
|
A normal (Gaussian) distribution with mean 5 and standard deviation 1
| 31
|
BASIC
| 31
|
normal
|
{"type": "normal", "mean": 5, "std": 2}
|
A normal (Gaussian) distribution with mean 5 and standard deviation 2
| 32
|
BASIC
| 32
|
normal
|
{"type": "normal", "mean": 5, "std": 3}
|
A normal (Gaussian) distribution with mean 5 and standard deviation 3
| 33
|
BASIC
| 33
|
normal
|
{"type": "normal", "mean": 5, "std": 5}
|
A normal (Gaussian) distribution with mean 5 and standard deviation 5
| 34
|
BASIC
| 34
|
uniform
|
{"type": "uniform", "low": -5, "high": 5}
|
A uniform distribution between -5 and 5
| 35
|
BASIC
| 35
|
uniform
|
{"type": "uniform", "low": -2, "high": 2}
|
A uniform distribution between -2 and 2
| 36
|
BASIC
| 36
|
uniform
|
{"type": "uniform", "low": 0, "high": 1}
|
A uniform distribution between 0 and 1
| 37
|
BASIC
| 37
|
uniform
|
{"type": "uniform", "low": 0, "high": 10}
|
A uniform distribution between 0 and 10
| 38
|
BASIC
| 38
|
uniform
|
{"type": "uniform", "low": -10, "high": 0}
|
A uniform distribution between -10 and 0
| 39
|
BASIC
| 39
|
uniform
|
{"type": "uniform", "low": 1, "high": 6}
|
A uniform distribution between 1 and 6
| 40
|
BASIC
| 40
|
uniform
|
{"type": "uniform", "low": 2, "high": 8}
|
A uniform distribution between 2 and 8
| 41
|
BASIC
| 41
|
exponential
|
{"type": "exponential", "rate": 0.1}
|
An exponential distribution with rate parameter 0.1
| 42
|
BASIC
| 42
|
exponential
|
{"type": "exponential", "rate": 0.5}
|
An exponential distribution with rate parameter 0.5
| 43
|
BASIC
| 43
|
exponential
|
{"type": "exponential", "rate": 1.0}
|
An exponential distribution with rate parameter 1.0
| 44
|
BASIC
| 44
|
exponential
|
{"type": "exponential", "rate": 2.0}
|
An exponential distribution with rate parameter 2.0
| 45
|
BASIC
| 45
|
exponential
|
{"type": "exponential", "rate": 3.0}
|
An exponential distribution with rate parameter 3.0
| 46
|
BASIC
| 46
|
exponential
|
{"type": "exponential", "rate": 5.0}
|
An exponential distribution with rate parameter 5.0
| 47
|
BASIC
| 47
|
gamma
|
{"type": "gamma", "shape": 0.5, "scale": 0.5}
|
A gamma distribution with shape 0.5 and scale 0.500
| 48
|
BASIC
| 48
|
gamma
|
{"type": "gamma", "shape": 0.5, "scale": 1}
|
A gamma distribution with shape 0.5 and scale 1.000
| 49
|
BASIC
| 49
|
gamma
|
{"type": "gamma", "shape": 0.5, "scale": 2}
|
A gamma distribution with shape 0.5 and scale 2.000
| 50
|
BASIC
| 50
|
gamma
|
{"type": "gamma", "shape": 0.5, "scale": 3}
|
A gamma distribution with shape 0.5 and scale 3.000
| 51
|
BASIC
| 51
|
gamma
|
{"type": "gamma", "shape": 1, "scale": 0.5}
|
A gamma distribution with shape 1 and scale 0.500
| 52
|
BASIC
| 52
|
gamma
|
{"type": "gamma", "shape": 1, "scale": 1}
|
A gamma distribution with shape 1 and scale 1.000
| 53
|
BASIC
| 53
|
gamma
|
{"type": "gamma", "shape": 1, "scale": 2}
|
A gamma distribution with shape 1 and scale 2.000
| 54
|
BASIC
| 54
|
gamma
|
{"type": "gamma", "shape": 1, "scale": 3}
|
A gamma distribution with shape 1 and scale 3.000
| 55
|
BASIC
| 55
|
gamma
|
{"type": "gamma", "shape": 2, "scale": 0.5}
|
A gamma distribution with shape 2 and scale 0.500
| 56
|
BASIC
| 56
|
gamma
|
{"type": "gamma", "shape": 2, "scale": 1}
|
A gamma distribution with shape 2 and scale 1.000
| 57
|
BASIC
| 57
|
gamma
|
{"type": "gamma", "shape": 2, "scale": 2}
|
A gamma distribution with shape 2 and scale 2.000
| 58
|
BASIC
| 58
|
gamma
|
{"type": "gamma", "shape": 2, "scale": 3}
|
A gamma distribution with shape 2 and scale 3.000
| 59
|
BASIC
| 59
|
gamma
|
{"type": "gamma", "shape": 3, "scale": 0.5}
|
A gamma distribution with shape 3 and scale 0.500
| 60
|
BASIC
| 60
|
gamma
|
{"type": "gamma", "shape": 3, "scale": 1}
|
A gamma distribution with shape 3 and scale 1.000
| 61
|
BASIC
| 61
|
gamma
|
{"type": "gamma", "shape": 3, "scale": 2}
|
A gamma distribution with shape 3 and scale 2.000
| 62
|
BASIC
| 62
|
gamma
|
{"type": "gamma", "shape": 3, "scale": 3}
|
A gamma distribution with shape 3 and scale 3.000
| 63
|
BASIC
| 63
|
gamma
|
{"type": "gamma", "shape": 5, "scale": 0.5}
|
A gamma distribution with shape 5 and scale 0.500
| 64
|
BASIC
| 64
|
gamma
|
{"type": "gamma", "shape": 5, "scale": 1}
|
A gamma distribution with shape 5 and scale 1.000
| 65
|
BASIC
| 65
|
gamma
|
{"type": "gamma", "shape": 5, "scale": 2}
|
A gamma distribution with shape 5 and scale 2.000
| 66
|
BASIC
| 66
|
gamma
|
{"type": "gamma", "shape": 5, "scale": 3}
|
A gamma distribution with shape 5 and scale 3.000
| 67
|
BASIC
| 67
|
gamma
|
{"type": "gamma", "shape": 7, "scale": 0.5}
|
A gamma distribution with shape 7 and scale 0.500
| 68
|
BASIC
| 68
|
gamma
|
{"type": "gamma", "shape": 7, "scale": 1}
|
A gamma distribution with shape 7 and scale 1.000
| 69
|
BASIC
| 69
|
gamma
|
{"type": "gamma", "shape": 7, "scale": 2}
|
A gamma distribution with shape 7 and scale 2.000
| 70
|
BASIC
| 70
|
gamma
|
{"type": "gamma", "shape": 7, "scale": 3}
|
A gamma distribution with shape 7 and scale 3.000
| 71
|
BASIC
| 71
|
gamma
|
{"type": "gamma", "shape": 10, "scale": 0.5}
|
A gamma distribution with shape 10 and scale 0.500
| 72
|
BASIC
| 72
|
gamma
|
{"type": "gamma", "shape": 10, "scale": 1}
|
A gamma distribution with shape 10 and scale 1.000
| 73
|
BASIC
| 73
|
gamma
|
{"type": "gamma", "shape": 10, "scale": 2}
|
A gamma distribution with shape 10 and scale 2.000
| 74
|
BASIC
| 74
|
gamma
|
{"type": "gamma", "shape": 10, "scale": 3}
|
A gamma distribution with shape 10 and scale 3.000
| 75
|
BASIC
| 75
|
beta
|
{"type": "beta", "alpha": 0.5, "beta": 0.5}
|
A beta distribution with α=0.5 and β=0.5
| 76
|
BASIC
| 76
|
beta
|
{"type": "beta", "alpha": 0.5, "beta": 1}
|
A beta distribution with α=0.5 and β=1
| 77
|
BASIC
| 77
|
beta
|
{"type": "beta", "alpha": 0.5, "beta": 2}
|
A beta distribution with α=0.5 and β=2
| 78
|
BASIC
| 78
|
beta
|
{"type": "beta", "alpha": 0.5, "beta": 3}
|
A beta distribution with α=0.5 and β=3
| 79
|
BASIC
| 79
|
beta
|
{"type": "beta", "alpha": 0.5, "beta": 5}
|
A beta distribution with α=0.5 and β=5
| 80
|
BASIC
| 80
|
beta
|
{"type": "beta", "alpha": 1, "beta": 0.5}
|
A beta distribution with α=1 and β=0.5
| 81
|
BASIC
| 81
|
beta
|
{"type": "beta", "alpha": 1, "beta": 1}
|
A beta distribution with α=1 and β=1
| 82
|
BASIC
| 82
|
beta
|
{"type": "beta", "alpha": 1, "beta": 2}
|
A beta distribution with α=1 and β=2
| 83
|
BASIC
| 83
|
beta
|
{"type": "beta", "alpha": 1, "beta": 3}
|
A beta distribution with α=1 and β=3
| 84
|
BASIC
| 84
|
beta
|
{"type": "beta", "alpha": 1, "beta": 5}
|
A beta distribution with α=1 and β=5
| 85
|
BASIC
| 85
|
beta
|
{"type": "beta", "alpha": 2, "beta": 0.5}
|
A beta distribution with α=2 and β=0.5
| 86
|
BASIC
| 86
|
beta
|
{"type": "beta", "alpha": 2, "beta": 1}
|
A beta distribution with α=2 and β=1
| 87
|
BASIC
| 87
|
beta
|
{"type": "beta", "alpha": 2, "beta": 2}
|
A beta distribution with α=2 and β=2
| 88
|
BASIC
| 88
|
beta
|
{"type": "beta", "alpha": 2, "beta": 3}
|
A beta distribution with α=2 and β=3
| 89
|
BASIC
| 89
|
beta
|
{"type": "beta", "alpha": 2, "beta": 5}
|
A beta distribution with α=2 and β=5
| 90
|
BASIC
| 90
|
beta
|
{"type": "beta", "alpha": 3, "beta": 0.5}
|
A beta distribution with α=3 and β=0.5
| 91
|
BASIC
| 91
|
beta
|
{"type": "beta", "alpha": 3, "beta": 1}
|
A beta distribution with α=3 and β=1
| 92
|
BASIC
| 92
|
beta
|
{"type": "beta", "alpha": 3, "beta": 2}
|
A beta distribution with α=3 and β=2
| 93
|
BASIC
| 93
|
beta
|
{"type": "beta", "alpha": 3, "beta": 3}
|
A beta distribution with α=3 and β=3
| 94
|
BASIC
| 94
|
beta
|
{"type": "beta", "alpha": 3, "beta": 5}
|
A beta distribution with α=3 and β=5
| 95
|
BASIC
| 95
|
beta
|
{"type": "beta", "alpha": 5, "beta": 0.5}
|
A beta distribution with α=5 and β=0.5
| 96
|
BASIC
| 96
|
beta
|
{"type": "beta", "alpha": 5, "beta": 1}
|
A beta distribution with α=5 and β=1
| 97
|
BASIC
| 97
|
beta
|
{"type": "beta", "alpha": 5, "beta": 2}
|
A beta distribution with α=5 and β=2
| 98
|
BASIC
| 98
|
beta
|
{"type": "beta", "alpha": 5, "beta": 3}
|
A beta distribution with α=5 and β=3
| 99
|
BASIC
| 99
|
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