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- Independence of events
- Problems on independence of
The minterms generated by the class
have minterm probabilities
Show that the product rule holds for all three, but the class is not independent.
pm = [0.15 0.05 0.02 0.18 0.25 0.05 0.18 0.12];y = imintest(pm)
The class is NOT independentMinterms for which the product rule fails
y =1 1 1 0
1 1 1 0 % The product rule hold for M7 = ABC
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The class
is independent, with respective probabilities
0.65, 0.37, 0.48, 0.63. Use the m-function minprob to obtain the minterm probabilities. Usethe m-function minmap to put them in a 4 by 4 table corresponding to
the minterm map convention we use.
P = [0.65 0.37 0.48 0.63];p = minmap(minprob(P))
p =0.0424 0.0249 0.0788 0.0463
0.0722 0.0424 0.1342 0.07880.0392 0.0230 0.0727 0.0427
0.0667 0.0392 0.1238 0.0727
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The minterm probabilities for the software survey in
Example 2 from "Minterms" are
Show whether or not the class
is independent: (1) by hand calculation, and
(2) by use of the m-function imintest.
pm = [0 0.05 0.10 0.05 0.20 0.10 0.40 0.10];y = imintest(pm)
The class is NOT independentMinterms for which the product rule fails
y =1 1 1 1 % By hand check product rule for any minterm
1 1 1 1
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The minterm probabilities for the computer survey in
Example 3 from "Minterms" are
Show whether or not the class
is independent: (1) by hand calculation, and
(2) by use of the m-function imintest.
npr04_04 Minterm probabilities for
[link] are in pm
y = imintest(pm)The class is NOT independent
Minterms for which the product rule failsy =
1 1 1 11 1 1 1 Got questions? Get instant answers now!
Minterm probabilities
through
for the class
are, in order,
Use the m-function imintest to show whether or not the class
is independent.
npr04_05 Minterm probabilities for
[link] are in pm
imintest(pm)The class is NOT independent
Minterms for which the product rule failsans =
0 1 0 10 0 0 0
0 1 0 10 0 0 0 Got questions? Get instant answers now!
Minterm probabilities
through
for the opinion survey in
Example 4 from "Minterms" are
Show whether or not the class
is independent.
npr04_06
Minterm probabilities for
[link] are in pm
y = imintest(pm)The class is NOT independent
Minterms for which the product rule failsy =
1 1 1 11 1 1 1
1 1 1 11 1 1 1 Got questions? Get instant answers now!
The class
is independent, with
,
,
and
. Determine the minterm probabilities.
and
.
pm = minprob([0.3 0.2 0.4])pm = 0.3360 0.2240 0.0840 0.0560 0.1440 0.0960 0.0360 0.0240 Got questions? Get instant answers now!
The class
is independent, with
,
, and
. Determine the probability of each minterm.
implies
.
implies
implies
P = [0.5 0.2 0.4];pm = minprob(P)
pm = 0.2400 0.1600 0.0600 0.0400 0.2400 0.1600 0.0600 0.0400 Got questions? Get instant answers now!
Questions & Answers
what is defense mechanism
what is defense mechanisms
Chinaza
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why is communication effective
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
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miss
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Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
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Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
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Source:
OpenStax, Applied probability. OpenStax CNX. Aug 31, 2009 Download for free at http://cnx.org/content/col10708/1.6
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