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 alarm is triggered.
B. More than seven alarms are triggered.
C. Eight or fewer alarms are triggered.

a)

And replacing we got:

b)

And adding we got:

c)

And replacing we got:

Step-by-step explanation:

Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

Part a

We want to find this probability:

And replacing we got:

Part b

And adding we got:

Part c

And replacing we got:

a. 19,958,400

step-by-step explanation:

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