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Company "O'Bender" has got a contract to deliver 1000 chairs. During transporta- tion, a chair may be damaged with probability 5%. Assume chairs are damaged independently. To be sure to meet the terms of the contract, "O'Bender" plans to ship 1050 chairs.
(a) Find the expected number of undamaged chairs that will be delivered.
(b) What is the probability to meet the terms of the contract if 1050 chairs are shipped?
(c) What is the minimum number of chairs that should be shipped to meet the terms of the contract with probability at least 90%?
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