In: Statistics and Probability
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?