The probability that a patient recovers from a certain type of operation is 0.75. (a) What is the probability that 4 of the next 5 patients who have this operation survive? (b) What is the probability that all of the next 5 patients who have this operation survive?

The probability that a patient recovers from a certain type of operation is 0.75. (a) What is the probability that 4 of the next 5 patients who have this operation survive? (b) What is the probability that all of the next 5 patients who have this operation survive?

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

100%

The probability that a patient recovers from a certain type of operation is 0.75.
(a) What is the probability that 4 of the next 5 patients who have this operation survive?
(b) What is the probability that all of the next 5 patients who have this operation survive?

Expert Solution

Step 1: Introduce the given information

From the given information,

n = 5

P = 0.75

Using formula, ( Binomial distribution)

$P left parenthesis X equals x right parenthesis space equals space C presuperscript n subscript x space P to the power of x left parenthesis 1 minus P right parenthesis to the power of n minus x end exponent$

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