Security: Burglar Alarms A large bank vault has several automatic burglar sensors. The probability is 0.55 that a single sensor will detect a burglar.

(a) Quota Problem How many such sensors should be used for 99% certainty that a burglar trying to enter will be detected by at least one sensors?

(b) Suppose the bank installs nine sensors. What is the expected number of sensors that will detect a burglar?

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