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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 (m) of a CTC produced by a certain type of cancer. Suppose X has the cdf I< 10 F(x) = { (-x³ + 36z2 – 380zr + 1200) 10 < a < 16 1> 16. (a) What is the probability that such CTC bas diameter greater than 12 microns?

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 (m) of a CTC produced by a certain type of cancer. Suppose X has the cdf I< 10 F(x) = { (-x³ + 36z2 – 380zr + 1200) 10 < a < 16 1> 16. (a) What is the probability that such CTC bas diameter greater than 12 microns?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a, b and c please

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 I< 10 F(x) (-a3 + 36x2 – 380x + 1200) 10 < x < 16 240 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?
Transcribed Image Text: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 I< 10 F(x) (-a3 + 36x2 – 380x + 1200) 10 < x < 16 240 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?
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