Let X = the time between two successive arrivals at the drive-up window of a loc

Question

Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with lambda = 1), (which is identical to a standard gamma distribution with x = 1), compute the following. (If necessary, round your answer to three decimal spaces.) (a) The expected time between two successive arrivals (b) The standard deviation of the time between successive arrivals (c) P (X lessthanorequalto 1) (d) P (3 lessthanorequalto X lessthanorequalto 5) You may need to use the appropriate table in the Appendix of Tables

Explanation / Answer

given lamda =1 and

a) =1/1=1

b)2=1/^2 = 1/1= 1

c) P(X1)=1e^(11)0.6321

d)F(x)=1e^1x

F(5)=1-e^-1*5=0.9932

F(3)=1-e^-1*3=0.9502

P(3<=x<=5)=F(5)-F(3)=0.9932-0.9502=0.0430

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.