It is known that disks produced by a certain company will be defective with probability 1% independently of each other. The company sells the disks in packages of 10 and offers a money-back guarantee that at most 1 of the 10 disks is defective. (i) What proportion of packages is returned? (ii) If someone buys three packages, what is the probability that exactly one of them will be returned?
Added by Kacy L.
Step 1
We can calculate this by subtracting the probability that none or only one disk is defective from 1. The probability that no disk is defective is (0.99)^10 = 0.9044. The probability that exactly one disk is defective is 10*(0.01)*(0.99)^9 = 0.0914. Show more…
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