Question

Let the S = {0,1,2,3,4,5,6,7,8,9,10} be the sample space of a random experiment. Suppose A is the event that we observe a number less than 3 and B be the event that we observe a number greater than 8. Determine the event that either A occurs or B occurs.

Group of answer choices

{3,4,5,6,7,8}

{0,1,2,3,8,9,10}

empty set

{0,1,2,9,10}

{4,5,6,7}

Answer #1

Let S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the sample space of a random experiment.

Suppose A is the event that we observe a number less than 3.

A = {0, 1, 2}

Suppose B is the event that we observe a number greater than 8.

B = {9, 10}

The event that either A occurs or B occurs is given by

A B = A + B

A B = {0, 1, 2, 9, 10}

**Therefore, the event that either A occurs or B occurs is
{0, 1, 2, 9, 10}.**

Suppose that a penny is tossed three times. Let S be the sample
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A random experiment has sample space S = {a, b, c, d}. Suppose
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Let S be the sample space of an experiment and let ℱ be a
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1. Which of the following statements is true?
A
If events A and B are complements, then the intersection of A
and the complement of B is the sample space.
B
If events A and B are mutually exclusive, then the intersection
of A and B is the empty set.
C
If events A and B are mutually exclusive, then the union of A
and B is the sample space.
D
If events A and B are mutually exclusive, then...

A probability experiment is conducted in which the sample space
of the experiment is S={7,8,9,10,11,12,13,14,15,16,17,18}, event
F={7,8,9,10,11,12}, and event G={11,12,13,14}. Assume that each
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G) by counting the number of outcomes in F or G. Determine P(F or
G) using the general addition rule.

Who is the complement of the sure event?
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-sample space
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Let the sample space be Upper S equals StartSet 1 comma 2 comma
3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 End Set.
Suppose the outcomes are equally likely. Compute the probability of
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Let A, B and C be events in a sample space, S. Suppose that S =
A ∪ B ∪ C, and that the following hold: A ∩ C = ∅, B ∩ C = ∅. Let
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Question: Let the sample space of an experiment consist of a
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measured resistance. Give three
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A Bernoulli trial is an experiment with the sample space
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? X(s) : 1 if s = success
0 if s = failure.
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(0, 1).
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