Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 8 sec? More than 8 sec? (b) What is the probability that waiting time is between 4 and 7 sec?

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
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Based on an analysis of sample data, an article proposed the pdf f(x) = 0.25e−0.25(x − 1) when x ≥ 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.)

(a) What is the probability that waiting time is at most 8 sec? More than 8 sec?

(b) What is the probability that waiting time is between 4 and 7 sec?

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