The ten-year survival rate for bladder cancer, when a patient is properly treated, is 55%. If twelve patients who have bladder cancer are properly treated for the disease, what is the probability that: a) less than eleven of them survive past the 10 years? b) What is the expected number of these patients to survive past ten years?
The ten-year survival rate for bladder cancer, when a patient is properly treated, is 55%. If twelve patients who have bladder cancer are properly treated for the disease, what is the probability that: a) less than eleven of them survive past the 10 years? b) What is the expected number of these patients to survive past ten years?
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...
Related questions
Question
Expert Solution
Step 1
Given:
n = 12
Ten year survival rate = 55%
It means, the probability that the patient survive past ten years is = 0.55
p = 0.55
The probability that the patient did not survive past ten years is = 1-0.55
q = 0.45
Formula Used:
If a random variable X follows Binomial distribution with parameter n and p, then its probability mass function is given by:
P(X = x) = , X = 0, 1, 2, 3,.....n
Mean = np
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON