(A) Explanation Given: The time of the death of the patient after certain disease contracted is distributed exponentially. The probability of dying a patient within a year is 0.3. Formula used: “The exponential probability density function and the cumulative distributive functions are f ( x ) = { ( 1 λ ) e − x λ if x ≥ 0 0 otherwise and F ( x ) = { 1 − e − x λ if x ≥ 0 0 otherwise ”. Calculation: The probability of dying a patient within a year is calculated with the cumulative distribution function for x ≥ 0 in terms of exponential function. P ( 0 ≤ x ≤ 1 ) = ∫ 0 1 f ( x ) d x = F ( 1 ) − F ( (B) To determine To find: The probability for which the patient survives longer than the expected time of the death.

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ISBN: 9780135961438

Author: Barnett

Publisher: PEARSON CO

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Chapter 11.4, Problem 79E

(A)

To determine

To find: The expected time of the death when a patient has contracted certain disease.

(B)

To determine

To find: The probability for which the patient survives longer than the expected time of the death.

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Chapter 11.4, Problem 78E

Chapter 11.4, Problem 80E

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Chapter 11 Solutions

EP CALCULUS FOR BUSINESS..-MYLAB ACCESS

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The expected time of the death when a patient has contracted certain disease.

Solution Summary: The author explains the exponential probability density function and cumulative distributive functions used to calculate the probability of dying a patient within the year.