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Consider the following function given below with a specified range for the variable t, where t represents the time required to clear a minor traffic accident on a highway and f(t) represents the related probability. a) Determine the value of constant k so that this function becomes a probability distribution function. f(t)=t/k       0≤ t ≤ 30 minutes. K= b)Determine the probability that the time (t) required to clear the road scene due to traffic accident is less than 15 minutes. F(t≤15) =

Consider the following function given below with a specified range for the variable t, where t represents the time required to clear a minor traffic accident on a highway and f(t) represents the related probability. a) Determine the value of constant k so that this function becomes a probability distribution function. f(t)=t/k       0≤ t ≤ 30 minutes. K= b)Determine the probability that the time (t) required to clear the road scene due to traffic accident is less than 15 minutes. F(t≤15) =

Calculus For The Life Sciences
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.CR: Chapter 13 Review
Problem 29CR
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Consider the following function given below with a specified range for the variable t, where t represents the time required to clear a minor traffic accident on a highway and f(t) represents the related probability.

a)

  1. Determine the value of constant k so that this function becomes a probability distribution function.

f(t)=t/k       0≤ t ≤ 30 minutes.

K=

b)Determine the probability that the time (t) required to clear the road scene due to traffic accident is less than 15 minutes.

F(t≤15) =

 

 

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