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MATH 1530 – Quiz # 7 (Quizpak 3) Name _________________________
For exercises 1 and 2 consider a bag containing the following:
5 blue marbles numbered 1, 2, 3, 4, 5;
4 red marbles numbered 1, 2, 3, 4; and
3 green marbles numbered 1, 2, 3.
1. If ONE marble is to be randomly selected, find each of the following
probabilities.
GIVEN
P ( RED | 4 ) = _________________
P ( 4 | RED ) = _________________
2. If TWO marbles are randomly selected without replacement, find each of
the following probabilities.
P ( BLUE and GREEN ) = ____________________ = ___________
P ( BLUE and BLUE ) = ____________________ = ___________
MATH 1530 – Quiz # 8 (Quizpak 4) Name _________________________
Consider the experiment of rolling two “fair” 4-sided die and recording the
number facing down (either 1, 2, 3, or 4) on each of the two die.
Let X be the random variable such that:
Complete the table that gives the probability distribution for this particular
experiment.
X P(X)
X = the sum of the two die
Consider a binomial experiment S S
With two independent trials, where S F
the probability of success is given by: F S
p = .4 F F
Complete the table that gives the probability
distribution for this particular experiment to the right.
Show the binomial formulas here:
P ( X = 0 ) = ___________________________________ = _____________
P ( X = 1 ) = ___________________________________ = _____________
P ( X = 2 ) = ___________________________________ = _____________
(Specific Formula) (Numerical Value)
Show the formulas and calculate each of the following:
The mean
= ____________ = ______________ = _________
The variance
2
= ____________ = ______________ = _________
The standard deviation^ ^ = ____________ = ______________ = _________
(General Form.) (Specific Form.) (N. V.)
MATH 1530 – STATDISK WORKSHEET – CHAPTER 3 Name ______________________________
Let X = the # of successes
in two trials
X P(X)
*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:
Chapter 3 – Probability
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)
Chapter 4 – Probability Distributions
For ANY Probability Dist.: 1. P x ( )^^ ^1
2. The Mean, ^ ^ x^ p x ( )
3. The Variance,
2 2 2 x p x ( )
4. The Standard Dev.
2 2 x p x ( )
The BINOMIAL Probability Distribution:
The Mean,
n p
The Variance,
2 n p q
The Standard Deviation, ^ ^ n^ p q
P(A) + P( A ) = 1
P( A ) = 1 – P(A)
P (A) = 1 – P( A )
The Binomial
Probability Formula
x n x
n x
P x C p q
