**Coronary Bypass Surgery: A National Center Report**A statistic reports that 81% of people who had coronary bypass surgery in 2003 were over the age of 65. **Part 3 of 4****(3) Problem Statement:**What is the probability that exactly 10 of 15 randomly selected people who underwent surgery were over the age of 65? Round the answer to four decimal places.There is a text entry box provided to input the answer. The box contains the number 0.5 indicating a placeholder or previous input. This exercise is designed to help students understand probability calculations involving real-world health data.

Coronary bypass surgery: A coronary bypass patients are sampled Part: 074 Part 1 of 4 are agency reported that 49% of (a) What is the probability that exactly 10 of them are over the age o The probability that exactly 102 them are over the age of 65 is

Coronary bypass surgery: A coronary bypass patients are sampled Part: 074 Part 1 of 4 are agency reported that 49% of (a) What is the probability that exactly 10 of them are over the age o The probability that exactly 102 them are over the age of 65 is

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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Question

**Coronary Bypass Surgery: A National Center Report**

A statistic reports that 81% of people who had coronary bypass surgery in 2003 were over the age of 65.

**Part 3 of 4**

**(3) Problem Statement:**
What is the probability that exactly 10 of 15 randomly selected people who underwent surgery were over the age of 65? Round the answer to four decimal places.

There is a text entry box provided to input the answer. The box contains the number 0.5 indicating a placeholder or previous input.

This exercise is designed to help students understand probability calculations involving real-world health data.

Expert Solution

Step 1: Introduce the given information

According to the given information,

Probability of success, p = 49% = 0.49

Sample size, n = 15

Let X be a random variable represent the number of people who are over the age of 65.

Using formula (Binomial),

$P left parenthesis X equals r right parenthesis equals C presuperscript n subscript r cross times left parenthesis p right parenthesis to the power of r cross times left parenthesis 1 minus p right parenthesis to the power of n minus r end exponent$

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