Suppose that 30% of students at Kansas State University have listened to Funtabi's newest album "Hear Me Baby? Hold Together" (available to listen to on Spotify, Apple Music, and other music streaming platforms). Additionally, suppose that, to gauge interest in the band, a major record label randomly samples 900 students.
a. Approximate the probability that less than 31% of the sampled Kansas State students have listened to the album? (Note: Round final answers to 4 decimal places.)
b. Is it appropriate to use a normal distribution approximation to answer question a.?
a. Yes, because np≥5 and n(1-p)≥5
b. Yes, because n≥30
c. No, because np≥5 and n(1-p)≥5
d. No, because n<30