Question - Based on given Python Code so it can do the Following Task (Will Probably have to use Matplotlib): a. Utilizing the code and the output it provides. Create two bar graphs. One should compare the total numbers within number_list with the frequency of those individual Numbers. The second graph should compare the Powerball Numbers (1-26) with the probability of them winning. ** An example of how the bar graphs should look is shown in the other attached picture (Note that "Number Frequency in the Bible" is referencing the number list in number_lists Frequency 16 14 14 12 10 4 2 22 17 77 14 6 3 Number Frequency in the Bible 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 Numbers 0.37 0.37 0.36 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.3 0.3 0.37 0.37 0.36 0.33 Winning Powerball Numbers 0.37 0.37 0.37 0.36 0.36 0.36 0.36 0.36 0.36 0.33 0.31 0.31 0.31 0.26 0.2 0.2 0.37 0.00 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Numbers
Edit the given Python Code (about Probability) so it can also output a Bar Graph. Please see the attached pics to complete it.
Code that Needs to be Edited:
from collections import Counter
from scipy.stats import binom
# Part A: Find the 7 most common repetitive numbers
number_list = [25, 23, 17, 25, 48, 34, 29, 34, 38, 42, 30, 50, 58, 36, 39, 28, 27, 35, 30, 34, 46, 46, 39, 51, 46, 75,
66, 20, 45, 28, 35, 41, 43, 56, 37, 38, 50, 52, 33, 44, 37, 72, 47, 20, 80, 52, 38, 44, 39, 49, 50, 56,
62, 42, 54, 59, 35, 35, 32, 31, 37, 43, 48, 47, 38, 71, 56, 53, 51, 25, 36, 54, 47, 71, 53, 59, 41, 42,
57, 50, 38, 31, 27, 33, 26, 40, 42, 31, 25, 26, 47, 26, 37, 42, 15, 60, 40, 43, 48, 30, 25, 52, 28, 41,
40, 34, 28, 40, 38, 40, 30, 35, 27, 27, 32, 44, 31, 32, 29, 31, 25, 21, 23, 25, 39, 33, 21, 36, 21, 14,
23, 33, 27, 31, 16, 23, 21, 13, 20, 40, 13, 27, 33, 34, 31, 13, 40, 58, 24, 24, 17, 18, 18, 21, 18, 16,
24, 15, 18, 33, 21, 13, 24, 21, 29, 31, 26, 18, 23, 22, 21, 32, 33, 24, 30, 30, 21, 23, 29, 23, 25, 18,
10, 20, 13, 18, 28, 12, 17, 18, 20, 15, 16, 16, 25, 21, 18, 26, 17, 22, 16, 15, 15, 25, 14, 18, 19, 16,
14, 20, 28, 13, 28, 39, 40, 29, 25, 27, 26, 18, 17, 20, 25, 25, 22, 19, 14, 21, 22, 18, 10, 29, 24, 21,
21, 13, 15, 25, 20, 29, 22, 11, 14, 17, 17, 13, 21, 11, 19, 17, 18, 20, 8, 21, 18, 24, 21, 15, 27, 21]
number_count = Counter(number_list)
most_common = number_count.most_common(7)
print("Most Common Numbers in New Testament:")
for num, count in most_common:
print(f"Number {num} appears {count} times")
# Part B: Find the 7 most uncommon numbers
least_common = number_count.most_common()[:-8:-1]
print("\nLeast Common Numbers in New Testament:")
for num, count in least_common:
print(f"Number {num} appears {count} times")
# Part C: Use binomial distribution to find the probability of each of the 7 common repetitive numbers
print("\nProbabilities of 7 Most Common Numbers (Using Binomial Distribution):")
for num, count in most_common:
total_trials = len(number_list)
successes = count
probability = binom.pmf(successes, total_trials, successes/total_trials)
print(f"Probability of seeing {num} appear exactly {count} times: {probability:.4f}")
print("\nProbabilities of 7 Most Common Numbers from the New Testament Winning the Powerball:")
# The provided "how often" data from the table
how_often_data = {
1: 4, 2: 4, 3: 3, 4: 7, 5: 8, 6: 4, 7: 3, 8: 4, 9: 6, 10: 3,
11: 2, 12: 3, 13: 3, 14: 5, 15: 2, 16: 5, 17: 2, 18: 4, 19: 3,
20: 4, 21: 8, 22: 1, 23: 5, 24: 1, 25: 2, 26: 4
}
# The total count of all occurrences
total_count = sum(how_often_data.values())
# The specific numbers we need to find the probabilities for
requested_numbers = [17, 18, 20, 21, 25, 27, 31]
# Calculate the probabilities
probabilities = {number: how_often_data.get(number, 0) / total_count for number in requested_numbers}
def print_probability(number, probability):
if number in how_often_data:
print(f"Probability of Number {number} being a winning number for Powerball: {probability:.4f}")
else:
print(f"Probability of Number {number} being a winning number is 0 because it is not a Powerball number.")
for number in requested_numbers:
print_probability(number, probabilities[number])
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