Question: A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience an attempted burglary. Find

A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience an attempted burglary. Find the probabilities of these events:

a. At least one of the alarms is triggered (Use R).

b. More than seven of the alarms are triggered (Use R).

c. Eight or fewer alarms are triggered (Use R).

Note: For question (a to c), include the R codes and results from within the R environment.

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