−0.1x , if 0 ≤ x ≤ 10 and 0,otherwise Based on your computations below, explain and discuss the various probabilities with respect to the given exponential function. (i)deduce the constant k, (ii)compute the probabilities (a) p(x ≥ 5) (b) p(x < 4) (c) p(1 ≤ x ≤ 15)
−0.1x , if 0 ≤ x ≤ 10 and 0,otherwise Based on your computations below, explain and discuss the various probabilities with respect to the given exponential function. (i)deduce the constant k, (ii)compute the probabilities (a) p(x ≥ 5) (b) p(x < 4) (c) p(1 ≤ x ≤ 15)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
? (x) = ke−0.1x , if 0 ≤ x ≤ 10 and
0,otherwise
Based on your computations below, explain and discuss the various
probabilities with respect to the given exponential function.
(i)deduce the constant k,
(ii)compute the probabilities
(a) p(x ≥ 5)
(b) p(x < 4)
(c) p(1 ≤ x ≤ 15)
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