Maintenance of forklifts is an important focus of the warehouse from Q1 to assur

Question

Maintenance of forklifts is an important focus of the warehouse from Q1 to assure safety. An engineering assessment found that the probability of a forklift tire falling off is 5%. The assessment also found that of all instances when a forklift tire has fallen off, 85% are due to operator negligence. However, even when the forklift tire does not actually fall off, there is still a 5% probability that the operator was negligent in maintenance. What is the probability that the forklift tire falls off given that the operator was negligent?

Explanation / Answer

The total probability of forklift tire falling off = 5%

Out of this, 85% are due to operator negligence = 5%*85% = 4.25%.....................(1)

Out of rest 100-85 = 15%, 5% is the probability that operator was negligent = 5%*15%*5% = 0.0375%.......................(2)

Adding (1) & (2) is the Total probability of forklift failure due to operator negligence = 4.25% + 0.0375% = 4.2875%

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