Answered: A frequency distribution for the class…

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

A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randomly selected without replacement. Complete parts (a) through (d). Class: Frequency: Freshman 6, Sophomore 15, Junior 12, Senior 7 a. Determine the probability that the first student obtained is a junior and the second a senior. The probability that the first student obtained is a junior and the second a senior is enter your response here. (Type an integer or a decimal rounded to three decimal places as needed.) Determine the probability that both students obtained are sophomores. The probability that both students obtained are sophomores is. (Type an integer or a decimal rounded to three decimal places as needed.) What is the probability that one of the students obtained is a freshman and the other a sophomore? The probability that one student is a freshman and the other a sophomore is.

Expert Solution

Step 1: Introduce the given information

According to the given information,

Number of Freshman, n(Freshman) = 6

Number of Sophomore, n(Sophomore) = 15

Number of Junior, n(Junior) = 12

Number of Senior, n(Senior) = 7

So, total = n(Freshman)+ n(Sophomore) +n(Junior)+ n(Senior)

= 6+15+12+7

= 40

Using formula,

$P r o b a b i l i t y equals fraction numerator N u m b e r space o f space f a v o r a b l e space o u t c o m e s over denominator T o t a l space n u m b e r space o f space o u t c o m e s end fraction$