Let X be an exponential random variable with parameter 1 whose pdf isb X ≥ 0 λe-2, f(x) = {0, elsewhere (auio). The graph below represents the probability density function associated with the function. a. Find the value of λ graphically. ل. D b. Using the value from question a, Calculate P (X < 1) and P (X≥ 2). c. Find the expectation E(X) and Var(X) team istedi vilicisto odi at and b aldensy mobam Laimonid och to sobre a od bord s yd as via mont 1- (asain) obilidadong seorw.sidentsy mobum anounimo ai X di sogqu? O STS/wals 1 2mond 34() bat Good vicaab vildum sdt (x) brid

Let X be an exponential random variable with parameter 1 whose pdf isb X ≥ 0 λe-2, f(x) = {0, elsewhere (auio). The graph below represents the probability density function associated with the function. a. Find the value of λ graphically. ل. D b. Using the value from question a, Calculate P (X < 1) and P (X≥ 2). c. Find the expectation E(X) and Var(X) team istedi vilicisto odi at and b aldensy mobam Laimonid och to sobre a od bord s yd as via mont 1- (asain) obilidadong seorw.sidentsy mobum anounimo ai X di sogqu? O STS/wals 1 2mond 34() bat Good vicaab vildum sdt (x) brid

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 6E

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