Determine whether the events "a randomly chosen student is a male' and a randomlychosen student is studying Music' are independent, justifying your response Lrasea) In a private school students can choose only of French, Spanish or Music as theirElective. In a group of students, the number of males and females studying Spanish,French or Music are given in a table belowSpanishFrenchMusicMales231226Females121509

Answered: a) In a private school students can…

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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The biology department plans to recruit a new faculty member. Data collected by a different university on the 410 possible candidates are available. The biology department is debating whether to put a requirement of 10 years of teaching experience in the job advertisement. The available data on the candidates are shown below. Less than 10 years' 10 or more years' experience experience Total Male 178 112 290 Female 99 21 120 Total 277 133 410 True or False. The events F= {candidate is female} and E = {candidate has less than 10 years' experience} independent. True False
A hotel in a large city finds that 25% of its guests are holiday-makers. A random sample of 450 guests was taken and each person was asked the question, “Are you here on business or pleasure?” a) What is the probability that less than 100 people in the sample were holiday makers? b) What is the probability that the number of holiday-makers in the sample was between 120 and 150 (inclusive)?
A nationwide survey conducted by the National Cancer Society revealed the following information. Of 10,000 peoplesurveyed 3,200 were “heavy coffee drinkers”, and 160 of those surveyed had cancer of the pancreas. Of those who hadcancer of the pancreas, 132 were heavy coffee drinkers. Using the data in this survey, determine whether the events “beinga heavy coffee drinker” and “having cancer of the pancreas” are independent events.
The survey by the National Center for Health Statistics further found that 49% of adults ages 25–29 had only a cell phone and no landline. We randomly select four 25–29-year-olds: a) What is the probability that all of these adults have a only a cell phone and no landline? b) What is the probability that none of these adults have only a cell phone and no landline? c) What is the probability that at least one of these adults has only a cell phone and no landline?
Given the following table summarizing the responses of 270 people to the question ‘which evening news program do you watch most often’: If one of these individuals is selected at random, what is the probability that the person watches: - a station other than CBS, given that they are a woman -NBC or CBS, given that the individual is a man
What does it mean for four events to be mutually exclusive?
Please show working ,no handwriting please. In a private school students can choose only of French, Spanish or Music as theirElective. In a group of students, the number of males and females studying Spanish,French or Music are given in a table below Spanish French MusicMales 23 12 26Females 12 15 09 i.Determine whether the events ‘a randomly chosen student is a male’ and ‘a randomlychosen student is studying Music’ are independent, justifying your answer. ii .Two students are randomly selected, without replacement, what is the probability thatthe first student studies Spanish and the second student studies French.
Ten husband and wife couples are seated at random in a circle. Find the expected number of husbandswho end up sitting next to their wives. (One method is to use indicator variables, each equal to 1 when thecorresponding husband is sitting next to his wife.)
1. You select a coin at random from your pocket. You replace the coin and select again. Are your selections independent events? Explain.

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a) In a private school students can choose only of French, Spanish or Music as their Elective. In a group of students, the number of males and females studying Spanish, French or Music are given in a table below Spanish French Music Males 23 12 26 Females 12 15 09