probability from mean and std in bounded set












0















We have discrete and bounded data. From a to b, mean c, and std d



So how can I compute the probability at each discrete point, from the std and mean
This is the so far work, but works for 'heads' or tails only or p 0.5 for each event, eg computes the probability of getting 3 right out of 8, and 4 right out of 8 and 8 right out of that many coin tosses. Hence how to insert mean and std? For example you have 10 events and predict right 4,10,10,4 of those in 4 attempts. Mean is 7, std 3, so how to get p(8)?



from __future__ import division

def powersetCardinale(members_):
return (2 ** members_)

def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1)

def factorialQuicker(n, r):
if n == r:
return 1
else:
return n * factorialQuicker(n - 1, r)

def combination(n, r):
if (r == 0): return 1
if (n < r): return 0
return (factorialQuicker(n, r) / factorial(n - r))

k = 33
values = range(k + 1)
prob = values

for i in range(len(prob)):
prob[i] = combination(len(prob)-1 , prob[i]) / powersetCardinale(k)

sum(prob)
plt.plot(prob)
print(prob)









share|improve this question





























    0















    We have discrete and bounded data. From a to b, mean c, and std d



    So how can I compute the probability at each discrete point, from the std and mean
    This is the so far work, but works for 'heads' or tails only or p 0.5 for each event, eg computes the probability of getting 3 right out of 8, and 4 right out of 8 and 8 right out of that many coin tosses. Hence how to insert mean and std? For example you have 10 events and predict right 4,10,10,4 of those in 4 attempts. Mean is 7, std 3, so how to get p(8)?



    from __future__ import division

    def powersetCardinale(members_):
    return (2 ** members_)

    def factorial(n):
    if n == 0:
    return 1
    else:
    return n * factorial(n - 1)

    def factorialQuicker(n, r):
    if n == r:
    return 1
    else:
    return n * factorialQuicker(n - 1, r)

    def combination(n, r):
    if (r == 0): return 1
    if (n < r): return 0
    return (factorialQuicker(n, r) / factorial(n - r))

    k = 33
    values = range(k + 1)
    prob = values

    for i in range(len(prob)):
    prob[i] = combination(len(prob)-1 , prob[i]) / powersetCardinale(k)

    sum(prob)
    plt.plot(prob)
    print(prob)









    share|improve this question



























      0












      0








      0


      1






      We have discrete and bounded data. From a to b, mean c, and std d



      So how can I compute the probability at each discrete point, from the std and mean
      This is the so far work, but works for 'heads' or tails only or p 0.5 for each event, eg computes the probability of getting 3 right out of 8, and 4 right out of 8 and 8 right out of that many coin tosses. Hence how to insert mean and std? For example you have 10 events and predict right 4,10,10,4 of those in 4 attempts. Mean is 7, std 3, so how to get p(8)?



      from __future__ import division

      def powersetCardinale(members_):
      return (2 ** members_)

      def factorial(n):
      if n == 0:
      return 1
      else:
      return n * factorial(n - 1)

      def factorialQuicker(n, r):
      if n == r:
      return 1
      else:
      return n * factorialQuicker(n - 1, r)

      def combination(n, r):
      if (r == 0): return 1
      if (n < r): return 0
      return (factorialQuicker(n, r) / factorial(n - r))

      k = 33
      values = range(k + 1)
      prob = values

      for i in range(len(prob)):
      prob[i] = combination(len(prob)-1 , prob[i]) / powersetCardinale(k)

      sum(prob)
      plt.plot(prob)
      print(prob)









      share|improve this question
















      We have discrete and bounded data. From a to b, mean c, and std d



      So how can I compute the probability at each discrete point, from the std and mean
      This is the so far work, but works for 'heads' or tails only or p 0.5 for each event, eg computes the probability of getting 3 right out of 8, and 4 right out of 8 and 8 right out of that many coin tosses. Hence how to insert mean and std? For example you have 10 events and predict right 4,10,10,4 of those in 4 attempts. Mean is 7, std 3, so how to get p(8)?



      from __future__ import division

      def powersetCardinale(members_):
      return (2 ** members_)

      def factorial(n):
      if n == 0:
      return 1
      else:
      return n * factorial(n - 1)

      def factorialQuicker(n, r):
      if n == r:
      return 1
      else:
      return n * factorialQuicker(n - 1, r)

      def combination(n, r):
      if (r == 0): return 1
      if (n < r): return 0
      return (factorialQuicker(n, r) / factorial(n - r))

      k = 33
      values = range(k + 1)
      prob = values

      for i in range(len(prob)):
      prob[i] = combination(len(prob)-1 , prob[i]) / powersetCardinale(k)

      sum(prob)
      plt.plot(prob)
      print(prob)






      numpy scipy standard-deviation probability-density






      share|improve this question















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      share|improve this question




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      edited Nov 24 '18 at 1:58







      Edu Ariño Pelegrín

















      asked Nov 24 '18 at 1:24









      Edu Ariño PelegrínEdu Ariño Pelegrín

      13




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