Answer:
The probability that a cartridge purchased by a customer will have a video or audio defect is 1.9%
Step-by-step explanation:
The given parameters in the question are;
The percentage of cartridges that have video defects, P(X) = 1.6%
The percentage of cartridges that have audio defects, P(Y) = 0.7%
The percentage of cartridges that have both audio and video defects, P(X and Y) = 0.4%
The probability is with regards to inclusive evets
The probability of inclusive events 'X' and 'Y' which are events that can happen at the same time are given as follows;
P(X or Y) = P(X) + P(Y) - P(X and Y)
Therefore, we have;
P(X or Y) = P(Video or Audio) = 0.016 + 0.007 - 0.004 = 0.019
∴ P(Video or Audio) = 1.9%
The probability that a cartridge purchased by a customer will have a video or audio defect = 1.9%
