Probability that the computer system


A computer system at Harvard on any given day will be either

  1. Fully operating with a probability of 0.7 or
  2. Partially operating with a probability of 0.2, or
  3. Totally broken down with a probability of 0.1

The operations of the computer system on different days are independent.

a) What is the probability that out of seven days in a week, the computer system will be fully operating for at least five days?

b) What is the probability that the computer system will not be fully operating on the fourth day for the first time?

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Basic Statistics: Probability that the computer system
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