The ratios of the number of phones manufactured at three sites, M1, M2, and M3, are 20%, 35%, and 45%, respectively. The diagram at right shows some of the ratios of the numbers of defective (D) and good (G) phones manufactured at each site. The top branch indicates a .20 probability that a phone made by this manufacturer was manufactured at site M1. The ratio of these phones that are defective is .05. Therefore, .95 of these phones are good.

The probability that a randomly selected phone is both from site M1 and defective is (.20)(.05), or .01.
a. Copy the diagram and fill in the missing probabilities.
b. Find P(a phone from site M2 is defective).
c. Find P(a randomly chosen phone is defective).
d. Find P(a phone is manufactured at site M2 if you already know it is defective).

Transcribed Image Text:

DGDGDG 27 リ0 20 \ 35 2