A car manufacturer uses electronic chips from three suppliers S1, S2 and S3.

Supplier S1 provides 50% of the total supply and 0.4% of its supplied chips are defective.

These numbers for S2 are 30% and 0.5%, and for S3 they are 20% and 0.6% respectively.

c) For quality inspection, the manufacturer randomly selected 10 chips supplied by S1. What is the probability that at least one of them are defective? (4dp) : (1 mark)

The cars coming out of the production line are tested for car system failures due to malfunctioning of electronic chips.

The number of system failures in a car in the first year is modeled as Poisson distribution with rate lambda.

The manufacturer produced 12000 cars in the year 2021.