Question

A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 199 like rock, 155 like country, and 114 like jazz. Moreover, 24 like rock and country, 23 like rock and jazz, 19 like country and jazz, and 8 like all three types of music. What is the probability that a randomly selected student likes exactly one of the three types? a) 0.2880 b) 0.7200 c) 0.4000 d) 1 e) 0.0160 f) None of the above.

Answer 1

* Only Rock Only from the given data following is the venn diaqram . O l corintry 120 120 8) 11 TJ 90 only Jazz Rottenuse P(exactly one music) = plene'as) +PCrncnj O +P/R neno) 160+120 + 80 500 = 280 500 500 50-56 : option (f) None of the above. Scanned with CamScanner