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https://github.com/DeaDvey/mathgenerator.git
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42 lines
1.3 KiB
Python
42 lines
1.3 KiB
Python
from .__init__ import *
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def factorial(n):
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if n == 1 or n == 0:
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return 1
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else:
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return n * factorial(n - 1)
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def newton_symbol(n, k):
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return factorial(n) / (factorial(k) * factorial(n - k))
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def binomialDistFunc(format='string'):
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rejected_fraction = float(random.randint(30, 40)) + random.random()
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batch = random.randint(10, 20)
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rejections = random.randint(1, 9)
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answer = 0
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rejected_fraction = round(rejected_fraction, 2)
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for i in range(0, rejections + 1):
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answer += newton_symbol(float(batch), float(i)) * ((rejected_fraction / 100.) ** float(i)) * \
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((1 - (rejected_fraction / 100.)) ** (float(batch) - float(i)))
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answer = round(100 * answer, 2)
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if format == 'string':
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problem = "A manufacturer of metal pistons finds that, on average, {0:}% "\
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"of the pistons they manufacture are rejected because " \
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"they are incorrectly sized. What is the probability that a "\
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"batch of {1:} pistons will contain no more than {2:} " \
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"rejected pistons?".format(rejected_fraction, batch, rejections)
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return problem, answer
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else:
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return rejected_fraction, batch, rejections, answer
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binomial_distribution = Generator("Binomial distribution", 109,
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binomialDistFunc, [""])
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