Among the cast aluminum parts manufactured on a cer tain day

Among the cast aluminum parts manufactured on a cer- tain day, 80% were flawless, 15% had only minor flaws, and 5% had major flaws. Find the probability that a randomly chosen part a. has a flaw (major or minor). b. has no major flaw.

Solution

IT IS GIVEN THAT

MAJOR FLAW = 5% = 0.05 CHANCES

MINOR FLAW = 15% = 0.15 CHANCES

FLAWLESS = 80% = 0.80 CHANCES

A) THAT A PART HAS A MAJOR OR MINOR FLAW = 0.15+0.05 = 0.20 ( WE WILL ADD BOTH OF THEM HERE)

B) NO MAJOR FLOW = FALWLESS PLUS MINOR FLAW = 0.80 + 0.15 = 0.95