Answered: Breast cancer recurrence can occur as…

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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Question

Breast cancer recurrence can occur as early as three years after completion of all treatments,
especially for breast cancer survivors who do not practice a healthy lifestyle.

a) Assume that the years of recurrence, follow a normal distribution with mean 12 years and a standard deviation of 4. If the probability of the recurrent year less than k years is 0.1446, find the value of k .

b) Breast cancer survivors are classified as low and high chance of recurrence. It found that
6% of the breast cancer survivors have a high risk of recurrence. Calculate the probability
that in a random sample of 100 patients, between 5 and 15 of them have a high risk of
recurrence. Use the normal approximation.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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