Answered: Statistics Question

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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Step 1

Hey, since there are multiple questions with multiple subparts posted, we will answer first three subparts of first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

Given that,

The table that shows the distribution of National Honor Society members among students at local high school as follows:

Class	Non Honor students	Honor students	Row total
Senior	55	37	92
Junior	80	30	110
Sophomore	105	20	125
Freshman	120	0	120
Column total	360	87	447

Step 2

a) Probability that the student is a freshman:

The probability that the student is a freshman can be calculated as given below:

$\begin{array}{rcl} P (S t u d e n t i s a f r e s h m a n) & = & \frac{n (f r e s h m a n)}{T o t a l n u m b e r o f s t u d e n t s} \\ = & \frac{120}{447} \\ = & 0.268 \end{array}$