Zayas formula 30 pts 10 pts each) \'n the selop of an assembly line, the Systen

Question

Zayas formula 30 pts 10 pts each) 'n the selop of an assembly line, the Systen is aither correctly or incorecly adyusted The probebil.dy of a orrect adusthngnt is 0.15 whan correct adjusd rate woted the System oprrates with l0 de Howtves F incorrectly has a fri-complete the tree diagram-balae). by-filling the relar and prababildes 2 Afer the Systom Slaris a production un, When is the probability that a dafect i5 observed 3Suppose that ona itam selactd ddy an inspector as found to be defadive what s tse probabildy

Explanation / Answer

"d" denote the event that machine is adjusted incorrectly

"def" denote the event that defect is observed,

Therefore, as given in question:

P(c)= 0.95; P(d)=0.05; P(def/c)=0.10; P(def/d)=0.90

2. After the start of production the probability of observing a defect is given by

P(def)= P(def/c).P(c)+P(def/d).P(d) = (0.10 * 0.95) + (0.90 * 0.05) = 0.095 + 0.045 = 0.14

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