Let S = { s 1 , s 2 , s 3 , s 4 } be the sample space associated with an experiment having the probability distribution shown in the accompanying table. If A = { s 1 , s 2 } and B = { s 1 , s 3 } , find: a. P ( A ) , P ( B ) b. P ( A C ) , P ( B C ) c. P ( A ∩ B ) d. P ( A ∪ B ) e. P ( A C ∩ B C ) f. P ( A C ∪ B C ) Outcome Probability s 1 1 8 s 2 3 8 s 3 1 4 s 4 1 4
Let S = { s 1 , s 2 , s 3 , s 4 } be the sample space associated with an experiment having the probability distribution shown in the accompanying table. If A = { s 1 , s 2 } and B = { s 1 , s 3 } , find: a. P ( A ) , P ( B ) b. P ( A C ) , P ( B C ) c. P ( A ∩ B ) d. P ( A ∪ B ) e. P ( A C ∩ B C ) f. P ( A C ∪ B C ) Outcome Probability s 1 1 8 s 2 3 8 s 3 1 4 s 4 1 4
Solution Summary: The author explains how the probability of the event can be calculated by the formula shown below.
Let
S
=
{
s
1
,
s
2
,
s
3
,
s
4
}
be the sample space associated with an experiment having the probability distribution shown in the accompanying table. If
A
=
{
s
1
,
s
2
}
and
B
=
{
s
1
,
s
3
}
, find:
a.
P
(
A
)
,
P
(
B
)
b.
P
(
A
C
)
,
P
(
B
C
)
c.
P
(
A
∩
B
)
d.
P
(
A
∪
B
)
e.
P
(
A
C
∩
B
C
)
f.
P
(
A
C
∪
B
C
)
Outcome
Probability
s
1
1
8
s
2
3
8
s
3
1
4
s
4
1
4
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
You may need to use the appropriate appendix table or technology to answer this question.
You are given the following information obtained from a random sample of 4 observations.
24
48
31
57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a)
State the null and the alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
(b)
Determine the test statistic. (Round your answer to three decimal places.)
(c)
Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…
Chapter 7 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License