1 A pathologist uses a microfluidic device to separate circulating tumor cells (CTCS) from a blood sample and then measures their diameter. Let X be the diameter in microns (um) of a CTC produced by a certain type of cancer. Suppose X has the cdf x < 10 F(x) = 210 (-x3 + 36x? 380x + 1200) 10 < x < 16 x > 16 . (a) What is the probability that such a CTC has diameter greater than 12 microns? (b) Determine a suitable probability density function for X. (c) What is the mean and standard deviation of CTC diameters?
1 A pathologist uses a microfluidic device to separate circulating tumor cells (CTCS) from a blood sample and then measures their diameter. Let X be the diameter in microns (um) of a CTC produced by a certain type of cancer. Suppose X has the cdf x < 10 F(x) = 210 (-x3 + 36x? 380x + 1200) 10 < x < 16 x > 16 . (a) What is the probability that such a CTC has diameter greater than 12 microns? (b) Determine a suitable probability density function for X. (c) What is the mean and standard deviation of CTC diameters?
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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a b and c please thank you!
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