Binomial Distribution¶

In [1]:

from scipy.stats import binom

from scipy.stats import binom

What is the probability of getting 3 success, out of 100 trials, if the probability of gettings success is 20%:

In [2]:

binom.pmf(3, n=100, p=0.2)

binom.pmf(3, n=100, p=0.2)

Out[2]:

np.float64(5.146698708957569e-07)

What is the probability of getting 0,1,2,3 success, out of 100 trials, if the probability of gettings success is 20%:

In [3]:

binom.cdf(3, n=100, p=0.2)

binom.cdf(3, n=100, p=0.2)

Out[3]:

np.float64(5.82986964952081e-07)

The below function is only used for getting only 2 success, out of 5 trials, where the success probability is 10%.

In [4]:

binom.pmf(2, n=5, p=0.1)

binom.pmf(2, n=5, p=0.1)

Out[4]:

np.float64(0.07289999999999992)

On the other hand, this function is only used for getting 2 or fewer successes, out of 5 trials, where the success probability is 10%.

In [5]:

binom.cdf(2, n=5, p=0.1)

binom.cdf(2, n=5, p=0.1)

Out[5]:

np.float64(0.99144)