Question

1. . If a 6-sided die is rolled, what is the probablilty of getting a 1 or an even?

(a) Suppose that 1/4 of all pet owners have their pets bathed professionally. If 8

pet owners are selected at random, what is the probability exactly 3 have their pets bathed

professionally?

(b) If 8 pet owners are selcted, what is the mean and standard deviation of the

number of pet owners have their pets bathed professionally?

Answer #1

1) P(1 or an even) = P(rolling 1) + P(rolling an even number) - P(rolling 1 and an even number)

= 1/6 + 3/6 - 0

= 4/6

= 2/3

2) p = 1/4 = 0.25

n = 8

a) P(X = 3) = 8C3 * 0.25^{3} * (1 - 0.25)^{8-3}
= 0.2076

b) mean = n * p = 8 * 0.25 = 2

standard deviation = sqrt(n * p * (1 - p)) = sqrt(8 * 0.25 * 0.75) = 1.22

5. If a four-sided die is rolled 9 times, what is the
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value
6. If a four-sided die is rolled, find the standard
deviation of the number showing. (Hint: First find the
variance.)
A. ≈ 1.12 B. ≈ 1.25 C. ≈ 2.50 D. ≈ 7.5 E. other
value
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she got an even number six times.
Which of the following statements is FALSE?
The distribution of the count of getting an
odd number is binomial.
The distribution of the count of getting an
even number is binomial.
The distribution of the count of getting an
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rolled more than 100 times.
The distribution...

Imagine rolling two fair 6 sided dice. What is the probability
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A 10 sided die with sides numbered 0 through 9 is rolled 5
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(a) Find the probability that exactly 2 zeros are rolled.
(b) Find the probability that no less than 4 zeros are
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(c) Find the mean and the variance of X.

A fair 4-sided die is rolled 7 times.
(a)
Find the probability that the side 1 comes up exactly 3
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(b)
Find the probability that there is at least one side that comes
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1. Two 6-sided dice are rolled. What is the probability that
the sum of the two numbers on the dice will be greater than
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2. A lottery game has balls numbered 1 through 19. What is the
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Whenever a standard six-sided die is rolled, one of the
following six possible outcomes will occur by chance: , , , , , and
.
These random outcomes are represented by the population data
values: 1, 2, 3, 4, 5, and 6.
At the beginning of Week 4, take a random sample of size n = 9
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access...

Imagine rolling two fair 6 sided dice. the number rolled on the
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PROBLEM #2
Suppose you play a game in which a fair 6 sided die is rolled
once. If the outcome of the roll (the number of dots on the side
facing upward) is less than or equal to 4, you are paid as many
dollars as the number you have rolled. Otherwise, you lose as many
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Let X be the profit from the game (or the amount of money won or
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