Answered: The Statistical Abstract of the United…

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

The Statistical Abstract of the United States reported that 18.2% of students whose post secondary degrees were health professions and related programs. Thirty-eight students are sampled.

What is the probability that at least 10 of them whose post secondary degrees were health professions and related programs?

Expert Solution

Step 1

Let X be the number of students whose post secondary degrees were health professions and related programs which follows binomial distribution with sample size 38, and probability of success 0.182.

The binomial probability distribution is,

$P (X = x) = (\begin{matrix} n \\ x \end{matrix}) {(p)}^{x} {(1 - p)}^{n - x}$

In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.

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