A company is tendering for 6 new contracts. Penalties will be applied if any of the contracts are not completed on time. The cost due to not completing a contract on time must be accounted for in the tender price. In recent years, this company has completed 20 similar contracts, of which 2 were not completed on time. Assuming that the proportion of contracts that are completed on time remains constant and follows a Binomial distribution, (1) O Calculate the probability that all 6 of the new contracts are completed on time. (i) Calculate the probability that none of the new contracts are completed on time. (i) Calculate the probability that fewer than 5 of the new contracts are completed on time.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(b)
A company is tendering for 6 new contracts. Penalties will be applied if
any of the contracts are not completed on time. The cost due to not
completing a contract on time must be accounted for in the tender
price. In recent years, this company has completed 20 similar
contracts, of which 2 were not completed on time. Assuming that the
proportion of contracts that are completed on time remains constant
and follows a Binomial distribution,
(1)
Calculate the probability that all 6 of the new contracts are
completed on time.
(i) Calculate the probability that none of the new contracts are
completed on time.
(i)
Calculate the probability that fewer than 5 of the new contracts
are completed on time.
Transcribed Image Text:(b) A company is tendering for 6 new contracts. Penalties will be applied if any of the contracts are not completed on time. The cost due to not completing a contract on time must be accounted for in the tender price. In recent years, this company has completed 20 similar contracts, of which 2 were not completed on time. Assuming that the proportion of contracts that are completed on time remains constant and follows a Binomial distribution, (1) Calculate the probability that all 6 of the new contracts are completed on time. (i) Calculate the probability that none of the new contracts are completed on time. (i) Calculate the probability that fewer than 5 of the new contracts are completed on time.
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