{Exercise 6.27 (Algorithmic)} Consider the following exponential probability density function. f(x) = }e for > 0…
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Question “{Exercise 6.27 (Algorithmic)} Consider the following exponential probability density function. f(x) = }e for > 0…”
{Exercise 6.27 (Algorithmic)} Consider the following exponential probability density function. f(x) = }e for > 0 a. Which of the following is the formula for P(xs xo)? 1 P(x <=0) = 4- · 2 P(Z 520)=1-4- 3 P(1 520)=1-6– Formula #2 b. Find P(x s 1) (to 4 decimals). C. Find P(x > 4) (to 4 decimals). 0.1353 d. Find P(x S 5) (to 4 decimals). e. Find P(1 3 x 5) (to 4 decimals).
Answer
Page 1: The exponential probo density function (f(x), = 1 12 1×70 (c). Please consider PCXXX. ): -x/2 r = I te da [27:21 ] 1- e Xol2 PCXXI. ): 1-22012) C consider, P(x20) = ft cxdx = Site de dx = = 0.39366 = 0.3935 P(X, 1) = 0.3935 3 Now calculate, P( x I 4 ) PX > ***Jocandet 14 (2) dx stelle
TI page 2 pcxv) : 1 2) { cada dia] = [o – e2 – 0-1353 P(x>,4) = 0.1353] @ PCX55) = (fizode = seldz len – 5/2 = -[eel? = 0.9179 | P(x 55) = 0.9179] (c) P(1
Conclusion
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