Question

2. Additional questions whether the television purchased had a faster refresh rate and whether they also purchased a streaming media box in the past 12 months were asked of the 300 households that actually purchased large-screen HDTVs: Total REFRESH RATE OF STREAMING MEDIA BOX TELEVISION PURCHASED Yes No Faster 38 42 Standard 150 Total 108 192 70 220 300 a. Find the probability that if a household that purchased a large-screen HDTV is randomly selected, the television purchased had a faster refresh rate. (Hint: use the following definitions: A= purchased a television with a faster refresh rate; A'= purchased a television with a standard refresh rate; B=purchased a streaming media box; B'=did not purchase a streaming media box)

Answer 1

2a) Total people = 300

Faster refresh rate = 38 + 42 = 80

P(A) = (80)/300 = 4/15 or 0.2667

Hence, the probability of the television purchased had a faster refresh rate is 4/15 or 0.2667 (approx.)

Please comment if any doubt. Thank you.