In: Statistics and Probability
A store that sells calculators finds that the probability that a calculator breaks is 0.2. The problems with calculators breaking is independent to each calculator. (a) If the store sells 100 calculators, find the probability that 80 of the calculators work and 20 break. (b) From the 100 calculators sold, find the probability that the first 20 calculators sold break and the others work. (c) Suppose, once a calculator breaks down, the store is not allowed to sell any more calculators. What is the expected number of calculators they can sell? (d) Continued from part (c), suppose the store already sold 10 calculators and they all work. What is the expected number of calculators they can sell in total?