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exercises02.bin()   A

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Total Lines 9
Code Lines 5

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cc 1
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1 
#!/usr/bin/env python3
2 
"""
3 
Matmod exercise 02
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ported to python by https://github.com/SpaceLenore

            


            
                                                                                                            
                            
            
                                    
            
            

                
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"""

            


            
                                                                                                            
                            
            
                                    
            
            

                
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import math

            


            
                                                                                                            
                            
            
                                    
            
            

                
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def truncate(f, n):

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    return math.floor(f * 10 ** n) / 10 ** n

            


            
                                                                                                            
                            
            
                                    
            
            

                
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def factorial(n):

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    """ Calculate the factorial of the integer n """

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    val = 1

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    for value in range(1, n + 1):

            


            
                                                                                                            
                            
            
                                    
            
            

                
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        val = val * value

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    return val

            


            
                                                                                                            
                                                                
            
                                    
            
            

                
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def bin(trials, population, probability):

            


            
                                                                        
                            
            
                                    
            
            

                
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    """ Calculate the probability binomial distribution Pr(X = x) """

            


            
                                                                        
                            
            
                                    
            
            

                
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    # x = trials

            


            
                                                                        
                            
            
                                    
            
            

                
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    # n = population

            


            
                                                                        
                            
            
                                    
            
            

                
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    # p = probability

            


            
                                                                        
                            
            
                                    
            
            

                
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    bern = ((1 - probability)**(population-trials))*probability**trials

            


            
                                                                        
                            
            
                                    
            
            

                
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    bincof = factorial(population) / (factorial(trials) * factorial(population - trials))

            


            
                                                                        
                            
            
                                    
            
            

                
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    binpro = bern * bincof

            


            
                                                                        
                            
            
                                    
            
            

                
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    return round(binpro, 3)

            


            
                                                                                                            
                            
            
                                    
            
            

                
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def cumulative_bin(trials, population, probability):

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    """  Calculate the probability binomial distribution Pr(X <= x) """

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    # x = trials

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    # n = population

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    # p = probability

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    sumtotal = 0;

            


            
                                                                                                            
                            
            
                                    
            
            

                
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    for xval in range(trials + 1):

            


            
                                                                                                            
                            
            
                                    
            
            

                
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        sumtotal += bin(xval, population, probability)

            


            
                                                                                                            
                                                                
            
                                    
            
            

                
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    return round(sumtotal, 3)

            


            
                                                        
            
                                    
            
            

                
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