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o Homework- chen xu- Google Chrome ! https.//www.mathal.com/Stude homeworkld462890251 &questionid-29;&flushed-false;&cld-481; 4352¢ervina; yes b1-CCC . Winter 2017-Math 164 Online . Section 1582 chen n+" MM18 7:01 PM omework: Chapter 5 - Homework - Part 1 (Sections 5.1-5.4) core: 0 of 1 pt 2g of 35 (35 complete) HW Score: 96.33%, 33.71 of 35 pts 5.3.27 Question Help Among 3 to 44-year olds 35% say they have written an editorial letter while under the influence of alcohol. Suppose six 39-to 44-year-olds are selected at random. a) What is the probability that at least one has not written an editoriail letter while und er the influence of alcohol? (b) What is the probablity that at least one has wrniten an editorial letter while under the intuence af lty that at least one has not witten an editoriai letter while under the infuence of alcohol ts Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear AlExplanation / Answer
Probability that someone writes an editorial letter under the influence of alcohol in the 39-44 year age bracket = 0.35
Probability that they don't write undet the influence of alcohol = 0.65
6 people are selected at random and their behaviour is independent
a) Probability that atleast one has not written it under the influence of alchol is-
It means 1 has not written + 2 have not written+ ...... + 6 have not written
=1-0 has not written
=1-All have written under alcohol influence
=1-(0.35)^6
=0.998
b) Probability at least one has written it under the influence of alcohol-
=1-None has written under the influence of alcohol
=1-(0.65)^6
=0.924
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