TABLE 5-5 Time Within Which Oil Was Washed Off Reaction Row Total Within 5 Minutes After 5 Minutes None 470 420 50 Mild 390 60 330 140 Strong 120 20 Column Total 1000 500 500 Let's use the following notation for the various events: W = washing oil off within 5 minute, A %3D mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (a) P(N), P(M), P(S) (b) P(N| W), P(SI W) washing oil off after 5 minutes, N = no reaction, %3D M %3D (c) P(NIA), P(S\A) (d) P(N and W), P(M and W) (e) P(N or M). Are the events N exclusive? Explain. %3D = no reaction and M = mild reaction mutually (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Exnlain %3D
TABLE 5-5 Time Within Which Oil Was Washed Off Reaction Row Total Within 5 Minutes After 5 Minutes None 470 420 50 Mild 390 60 330 140 Strong 120 20 Column Total 1000 500 500 Let's use the following notation for the various events: W = washing oil off within 5 minute, A %3D mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (a) P(N), P(M), P(S) (b) P(N| W), P(SI W) washing oil off after 5 minutes, N = no reaction, %3D M %3D (c) P(NIA), P(S\A) (d) P(N and W), P(M and W) (e) P(N or M). Are the events N exclusive? Explain. %3D = no reaction and M = mild reaction mutually (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Exnlain %3D
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:(f) Are the events N = no reaction and W = washing oil off within 5 minutes
TABLE 5-5 Time Within Which Oil Was Washed Off
Let's use the following notation for the various events: W = washing oil
person selected at random from this sample of 1000 subjects.
ndow
Help
* E ? 67% O
3 204854 X
Bb Review Test SubmissX
B6 Review Test Submiss x
ES Homework Assignme X
38%20(1).pdf
239
Chapter Review
Reaction
Row Total
Within 5 Minutes
After 5 Minutes
470
None
50
420
390
Mild
330
60
140
Strong
20
120
1000
Column Total
500
500
off within 5 minute, A =
M = mild reaction, S =
washing oil off after 5 minutes, N = no reaction,
strong reaction. Find the following probabilities for a
(a) P(N), P(M), P(S)
(b) P(NI W), P(S W)
(c) P(N|A), P(S \A)
(d) P(N and W), P(M and W)
N or M). Are the events N = no reacton and M = mild reaction mutually
exclusive? Explain.
independent? Explain.
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