Implement the simulation of a biased 6-sided die which takes the values 1,2,3,4,5,6 with probabilities 1/8,1/12,1/8,1/12,1/12,1/
2. In [ ]: # WRITE YOUR OWN CODE HERE! FEEL FREE TO INSERT MORE CELLS! # ADD SOME COMMENTS TO YOUR CODE! Plot a histrogramm with 1,000,000 simulations to check if the relative counts of each number is approximately equal to the corresponding specified probabilities. Remark: Specify the bins of your histogram correctly.
1 answer:
Answer:
see explaination
Explanation:
import numpy as np
import matplotlib.pyplot as plt
a = [1, 2, 3, 4, 5, 6]
prob = [1.0/8.0, 1.0/12.0, 1.0/8.0, 1.0/12.0, 1.0/12.0, 1.0/2.0]
smls = 1000000
rolls = list(np.random.choice(a, smls, p=prob))
counts = [rolls.count(i) for i in a]
prob_exper = [float(counts[i])/1000000.0 for i in range(6)]
print("\nProbabilities from experiment : \n\n", prob_exper, end = "\n\n")
plt.hist(rolls)
plt.title("Histogram with counts")
plt.show()
check attachment output and histogram
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Answer:
#section 1
ls = []
while True:
score = float(input('Enter a New score or negative number to exit: '))
if score < 0:
break
else:
ls.append(score)
#section 2
average = sum(ls)/len(ls)
a = [num for num in ls if num >= average]
print('Total Scores Entered: ',len(ls))
print('Average score entered is: ',average)
print('Number of scores above average is: ',len(a))
print('Number of scores below average is:', len(ls)-len(a))
Explanation:
The programming language used is python 3.
#section 1
In this section, an empty list is initialized to hold all the values that will be inputted.
A while loop created which prompts the user to enter an input until a negative value is entered. This while loop always evaluates to be true until a value less than 0 allows it to break.
Finally, all the scores are appended to the list.
#section 2
In this section the code gets the average by dividing the sum by the number of items in the list.
A new list 'a' is created to hold all the values that are greater than or equal to the average.
Finally, the results are printed to the screen.
I have attached an image with the example stated in your question.
