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Various quizzes related to probability theory, including finding probabilities of events in experiments with marbles, dice, and coins. It also covers the binomial probability distribution, its mean, variance, and standard deviation. The exercises involve calculating probabilities, means, and standard deviations for specific experiments.
Typology: Quizzes
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2
MATH 1530 – STATDISK WORKSHEET – CHAPTER 3 Name ______________________________
*For all random generators use SEED = 3.
3.1 Enter the estimated probability here, as a fraction then decimal.
P x ( 3) = __________ = __________
*For exercises 3-2 through 3-8, use n = 1000.
3-2 Enter the probability for getting a sum of 7 here. __________ = __________
3-3 Enter the probability for getting a sum of 10 here. __________ = __________
3-5 Enter the probability for getting exactly 11 heads here. __________ = __________
3-7 Enter the probability for getting AT LEAST 55 girls out of 100__________ = __________
3-9 What is the estimated probability of winning if you bet on a single number like “7” every
time?
P x ( 7) (^) = __________ = __________
3-14 Enter the estimated probability here. __________ = __________
3-16 a. Find P (90 x 110) = __________ = __________
b. Find P x ( 115) = __________ = __________
c. Find P x (^^ ^ 120) = __________ = __________
3-17 a. P x (^^ 1)^ = ______ = __________
5
b. P x (^^ 1)^ = ______ = __________
25
c. P x (^^ 1)^ = ______ = __________
50
d. P x (^^ 1)^ = ______ = __________
500 How far off from.
did we end up?
e. P x ( 1) = ______ = __________
1000 _____________________
MATH 1530 – STATDISK WORKSHEET – CHAPTER 4 Name _______________________
The following notes will be provided for your reference as the last page of Exam 2:
Rule of Complementary Events:
Formal Addition Rule (OR):
P(A or B) = P(A) + P(B) – P(A and B)
Multiplication Rule (AND):
P (King 2nd | King 1st) =
(Three Kings are left out of only 51 cards.)
P (King 1st AND King 2nd) =
(King on 2
nd has different probability given King 1
st .)
NOT Independent P (A and B) = P (A) ^ P (B|A) (Formal Rule)
P (Head and Head) =
(Independent – first toss does not affect probability for 2
nd .)
Independent P (A and B) = P (A) ^ P (B)
2 2 2 x p x ( )
2 2 x p x ( )
n p
2 n p q