maths exerciseto help with probability, Exercises of Fashion Business Basics

Download maths exerciseto help with probability and more Exercises Fashion Business Basics in PDF only on Docsity!

10a As in question 9, if no information is given about previous results, the probability of pulling out a red sock on the nth attempt is constant. However, if information is given about previous results, the probabilities will change; therefore this scenario shows no independence but constant probability. b No roll can affect another (rolls are independent) and the probability of success is constant. a Each student's result is independent of the other students’ results, but clearly the probabilities vary, since the probability of success p will variously equal 0,3 orl, depending on the student's name. 11Let X be the number of times out of the ten X-B (10, 05) P(X >6)=1-P(X <5)=0377 (3 s.f.) 1s that the coin shows ‘heads’. 12Let X be the number of correct guesses out of 20. X-B (20, 0.2) P(X <5) = 0.630 (3 sf.) 13X36») Pox ~s)~ (8) #09? soph? P(x=6)= (8) °0 p= 260° —p? P(X=5)=P(X=6)+2(1—p)=p 2 2=Sps0p—5