32. Suppose that the reaction time (sec) to a certain stimulus is a continuous random variable with a density function given by f(x) = {k/x for 1 ≤x≤ 10 otherwise a. Sketch a graph of f(x). b. Find the numerical value of k. c. What is the probability that x exceeds 3? d. What is the probability that x lies within .25 sec of 3?

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
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32. Suppose that the reaction time (sec) to a certain
stimulus is a continuous random variable with a
density function given by
f(x) = {k/x
for 1 ≤x≤ 10
otherwise
a. Sketch a graph of f(x).
b. Find the numerical value of k.
c. What is the probability that x exceeds 3?
d. What is the probability that x lies within .25 sec
of 3?
Transcribed Image Text:32. Suppose that the reaction time (sec) to a certain stimulus is a continuous random variable with a density function given by f(x) = {k/x for 1 ≤x≤ 10 otherwise a. Sketch a graph of f(x). b. Find the numerical value of k. c. What is the probability that x exceeds 3? d. What is the probability that x lies within .25 sec of 3?
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