Course This Question: 1 pt 1 of 2 (0 complete) This Quiz: 2 pts possible Home Su
ID: 3048636 • Letter: C
Question
Course This Question: 1 pt 1 of 2 (0 complete) This Quiz: 2 pts possible Home Suppose you just purchased a digital music player and have put 8 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 8 songs is played once in random order. Find the probability that among the first two songs played Gradet eText Tools Multime (a) You like both of them. Would this be unusual? (b) You like neither of them (c) You like exactly one of them (d) Redo (a) (c) if a song can be replayed before all 8 songs are played. (a) The probablility that you like both songs is (Round to three decimal places as needed.) Would it be unusual for you to like both of the songs? O Yes O. No (b) The probability that you like neither song is (Round to three decimal places as needed.) (c) The probability that you like exactly one song is (Round to three decimal places as needed) (d) The probability that you like both songs is [] Round to three decimal places as needed) The probability that you like neither song is Round to three decimal places as needed.) The probability that you like exactly one song is Click to select your answer(s) Type here to searchExplanation / Answer
n=8
a) P(i like both) =P(First) *P(Second | i ilke first) = 4/8 * 3/7 = 3/14
b) P(Neither of them) = 4/8 * 3/7= 3/14
c) P(I like one of them) = 1- P(I like one of them)- P(I like both of them)
P(I like one of them)= 1- 3/14 - 3/14 = 8/14= 2/7
d) Probability of like= 1/2
i) Probability of both= (4/8)^2= 1/4
ii) Probability of neither= (4/8)*(4/8)= 1/4
iii)Probabilit of exactly 1/4 - 1/4 = 1/2