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In: Statistics and Probability

2. A fire detector uses 3 sensors with a sensitivity level of 0.8 each (meaning the...

2. A fire detector uses 3 sensors with a sensitivity level of 0.8 each (meaning the probability that a sensor will turn on if the room temperature reaches 100oC or more is 0.8). A fire alarm will sound if at least one sensor is on. Suppose Y is a random variable that states the number of sensors that are on, then specify:

a. Possible values for Y!

b. Probability function for random variable Y1

c. Y score and variance.

d. What are the probability of the device providing incorrect information?

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