2.72 Foracertain population of employees, the percentage passing or failing a job competency exam,listed according to sex, were as shown in the accompanying table. That is, of all the peopletaking the exam, 24% were in the male-pass category. 16% were in the male-fail category, andso forth. An employee is to be selected randomly from this population. Let A be the event thatthe employee scores a passing grade on the exam and let M be the event that a male is selected.SexOutcome Male (M) Female (F) TotalPass (A)243660Fail (A)162440Total4060100a Are the events A and M independent?b Are the events A and F independent?

From the given tableP(A)=60100P(M)=40100P(A∩M)=24100P(A¯)=40100P(F)=60100P(A¯∩F)=24100

Answered: 2.72 For acertain population of…

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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All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.
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