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(c) Assume the following respective probabilities for the posi- tions of the two loads: P(W, at B) = 0.25 %3D P(W, at C) = 0.60 P(W2 at B) = 0.30 P(W2 at C) = 0.50 Assuming that the positions of W, and W, are statistically in- dependent; what are the respective probabilities associated with each of the possible values of MA? (d) Determine the probabilities of the following events: E1, E2, E3. E, N E2, E, U E2, and E2

(c) Assume the following respective probabilities for the posi- tions of the two loads: P(W, at B) = 0.25 %3D P(W, at C) = 0.60 P(W2 at B) = 0.30 P(W2 at C) = 0.50 Assuming that the positions of W, and W, are statistically in- dependent; what are the respective probabilities associated with each of the possible values of MA? (d) Determine the probabilities of the following events: E1, E2, E3. E, N E2, E, U E2, and E2

A First Course in Probability (10th Edition)
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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2.5 A 20-ft cantilever beam is shown in the figure below. Load W, =200 lb, or W2 500 lb, or both may be applied at the mid- point B or at the end of the beam C. The bending moment induced at the fixed support A, MA, will depend on the magnitudes of the %3D %3D loads at B and C. 10 ft 10 ft A B C 20-ft cantilever beam. (a) Determine the sample space of MA. (b) Define the following events: E, = (MA > 5,000 ft-lb) Ez = (1,000 < MA < 12,000 ft-lb) %3D Ez = (2,000, 7,000 ft-lb) Are the events E, and Ez mutually exclusive? Explain why.
Transcribed Image Text:2.5 A 20-ft cantilever beam is shown in the figure below. Load W, =200 lb, or W2 500 lb, or both may be applied at the mid- point B or at the end of the beam C. The bending moment induced at the fixed support A, MA, will depend on the magnitudes of the %3D %3D loads at B and C. 10 ft 10 ft A B C 20-ft cantilever beam. (a) Determine the sample space of MA. (b) Define the following events: E, = (MA > 5,000 ft-lb) Ez = (1,000 < MA < 12,000 ft-lb) %3D Ez = (2,000, 7,000 ft-lb) Are the events E, and Ez mutually exclusive? Explain why.
(c) Assume the following respective probabilities for the posi- tions of the two loads: P(W, at B) = 0.25 P(W, at C) = 0.60 P(W2 at B) = 0.30 P(W2 at C) = 0.50 Assuming that the positions of W, and W, are statistically in- dependent; what are the respective probabilities associated with each of the possible values of MA? (d) Determine the probabilities of the following events: E1, E2, E3. E, N E2, E, U E2, and E2
Transcribed Image Text:(c) Assume the following respective probabilities for the posi- tions of the two loads: P(W, at B) = 0.25 P(W, at C) = 0.60 P(W2 at B) = 0.30 P(W2 at C) = 0.50 Assuming that the positions of W, and W, are statistically in- dependent; what are the respective probabilities associated with each of the possible values of MA? (d) Determine the probabilities of the following events: E1, E2, E3. E, N E2, E, U E2, and E2
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