1. There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word ENDURINGLY?
2. There are 13 men and 12 women in a ballroom dancing class. If 6 men and 6 women are chosen and paired off, how many pairings are possible?
3. Suppose you are taking a multiple-choice test with 4 choices for each question. In answering a question on this test, the probability that you know the answer is 0.33. If you don’t know the answer, you choose one at random. What is the probability that you knew the answer to a question, given that you answered it correctly?
4. A normal distribution which has a mean of 50 and standard deviation of 7 is taken into consideration.
68% of the distribution can be found between what two numbers?
a) 40 and 60
b) 0 and 43
c) 0 and 68
d) 43 and 57
5. Consider the data X = (58,59,63,60,60,63,60,57,58,59). An unbiased estimation for population variance would be ____
import numpy as np
from math import factorial
from itertools import permutations
#1.
# perms = [''.join(p) for p in permutations('ENDURINGLY')]
# perms = list(dict.fromkeys(perms))
# print(len(perms))
#2.
# men = factorial(13)/(factorial(6)*factorial(7))
# women = factorial(12)/(factorial(6)*factorial(6))
# pairings = men*women*factorial(6)
# print(pairings)
#3
# probability = 0.33/(0.33+0.25*0.25)
# print(probability)
#4
# d)
#5.
list = [58,59,63,60,60,63,60,57,58,59]
ast = np.std(list)
print(ast)
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