−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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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? (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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