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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?

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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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