Poisson Distribution

Author: ck-unifr

poisson_distribution_3.py

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+#https://www.hackerrank.com/challenges/poisson-distribution-3/problem
+# The number of calls coming per minute into a hotels reservation center is Poisson random variable with mean 3.
+#
+# (a) Find the probability that no calls come in a given 1 minute period.
+#
+# (b) Assume that the number of calls arriving in two different minutes are independent.
+# Find the probability that atleast two calls will arrive in a given two minute period.
+
+import math,scipy.stats
+
+print('%.3f'%scipy.stats.poisson.pmf(0,3))
+
+#print('%.3f'%(1-2*scipy.stats.poisson.pmf(0,3)*scipy.stats.poisson.pmf(1,3)-scipy.stats.poisson.pmf(0,3)**2))
+print('%.3f'%(1-scipy.stats.poisson.cdf(1, 3*2)))

poisson_distribution_5.py

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+#!/usr/bin/python
+import math,scipy.stats
+
+print('%.3f'%scipy.stats.poisson.pmf(2, 1.2))
+print('%.3f'%scipy.stats.poisson.cdf(2, 1.2))
+print('%.3f'%scipy.stats.poisson.pmf(5, 1.2*10))
+print('%.3f'%(1-scipy.stats.poisson.cdf(2, 1.2*40)))