28 lines
788 B
Python
28 lines
788 B
Python
import numpy as np
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pi_digits = np.array([3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3])
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# a
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unique_digits, counts = np.unique(pi_digits, return_counts=True)
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digit_probs = counts / len(pi_digits)
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print("digit probabilities:", [(unique_digits[i], digit_probs[i]) for i in range(len(unique_digits))])
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# b
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most_probable_digit = np.argmax(digit_probs)
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print("most probable digit:", most_probable_digit)
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median_digit = np.sort(pi_digits)[len(pi_digits) // 2]
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print("median digit:", median_digit)
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digit_average = np.sum(pi_digits) / len(pi_digits)
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print("digit average:", digit_average)
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# c
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expect_j_sqrd = np.sum(pi_digits ** 2) / len(pi_digits)
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expect_j = np.sum(pi_digits) / len(pi_digits)
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std = np.sqrt(expect_j_sqrd - expect_j ** 2)
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print("std:", std)
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