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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