Question

At the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical. Determine the empirical probability that the next person entering the store favors
(a) rock music.
(b) country music.
(c) something other then rock, country, or classical music.

Answer 1

Answer:

A) 20%.

B) 26.66%.

C)  40%.

Step-by-step explanation:

Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:

A)

60 = 100

12 = X

12 x 100/60 = X

1200/60 = X

20 = X

Therefore, the probability that the next person favors rock music is 20%.

B)

60 = 100

16 = X

16 x 100/60 = X

1600/60 = X

26.66 = X

Therefore, the probability that the next person favors country music is 26.66%.

C)

60 = 100

24 = X

24 x 100 / 60 = X

2400 / 60 = X

40 = X

Therefore, the probability that the next person favors another type of music is 40%.