DOC: Fix typo in np.random.default_rng().logistic()

[linus-md]

This fixes a typo and uses the correct convention of: rng = np.random.default_rng(); rng.beta(...).

[eendebakpt]

The changes in this PR look good. When reviewing I noticed that the scaling in the plotting (with count.max()) is not entirely correct. I would suggest the following:

loc, scale = 10, 1
rng = np.random.default_rng()
s = rng.logistic(loc, scale, 10000)
import matplotlib.pyplot as plt
count, bins, _ = plt.hist(s, bins=50)

#   plot against distribution
def logist(x, loc, scale):
     return np.exp((loc-x)/scale)/(scale*(1+np.exp((loc-x)/scale))**2)
logistic_values = logist(bins, loc, scale)
bin_spacing = np.mean(np.diff(bins))
plt.plot(bins, logistic_values * bin_spacing * s.size)
plt.show()

(not sure this should be part of this PR, I will leave that decision to the numpy devs)

[mattip]

here is the rendered page. I think we should just put this in for now as a bug fix (typo), and leave rescaling for a possible future PR.

[mattip]

Thanks @linus-md

[eendebakpt]

here is the rendered page. I think we should just put this in for now as a bug fix (typo), and leave rescaling for a possible future PR.

I created #25398 to address the scaling