(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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
Related questions
Question
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.
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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