(f) Are the events N = no reaction and W = washing oil off within 5 minutesTABLE 5-5 Time Within Which Oil Was Washed OffLet's use the following notation for the various events: W = washing oilperson selected at random from this sample of 1000 subjects.ndowHelp* E ? 67% O3 204854 XBb Review Test SubmissXB6 Review Test Submiss xES Homework Assignme X38%20(1).pdf239Chapter ReviewReactionRow TotalWithin 5 MinutesAfter 5 Minutes470None50420390Mild33060140Strong201201000Column Total500500off 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 mutuallyexclusive? Explain.independent? Explain.

we are suppose to answer three sub parts .

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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Reaction Within 5 Minutes After 5 Minutes Row Total None Mild 390 59 51 500 70 343 87 500 460 402 138 1000 Strong Column Total Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (a) P(N) 460/1000 P(M) 402/1000 P(S) 138/1000 (b) P(N | W) 500/1000 x P(S | W) 500/1000 x (c) P(N | A) 500/1000 x P(S | A) 500/1000 x (d) P(N and W) P(M and W) (e) P(N or M). Are the events N = no reaction and M = mild reaction mutually exclusive? Explain. • Yes. P(N or M) = 0. O No. P(N and M) + 0 O Yes. P(N and M) = 0. O No. P(N or M) + 0. (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain. • Yes. P(N and W) + P(N) · P(W). O Yes. P(N and W) = P(N) · P(W). O No. P(N and W) = P(N) · P(W). O No. P(N and W) *…
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