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A company which manufactures computer disks has a good reputation for the reliability of the disks that it produces. It is known that only 1 per cent of the disks which are manufactured by this company are faulty.The disks are packed in boxes of 500.
a)i) Write down the probability distribution for X, the number of faulty disks in a box of 500 disks.
ii ) Calculate the probability that there is exactly one faulty disk in a randomly selected box of 500 disks.
b) Find values for the mean and variance of X.
c) Using a distribution approximation, calculate the probability that there are more than 10 faulty disks in a box of 500 disks.
Accident records given by an insurance company give the following information. The probability that an insured driver has an accident is 0.15. If an accident occurs, the damage to the vehicle amount to 20% of its market value 80% of the time
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