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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) * P(N) · P(W).

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) * P(N) · P(W).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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) * P(N) · P(W).
Transcribed Image Text: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) * P(N) · P(W).
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