Question: [15 Marks] A fire alarm system inside a grocery store has three types of activation devices: P1, P2, and P3. When there is a fire,

[15 Marks] A fire alarm system inside a grocery store has three types of activation devices: P1, P2, and P3. When there is a fire, if one of the devices operates correctly, the fire alarm is turned on. In the case of fire, the probability that P1 operates correctly is 0.98, the probability that P2 operates correctly is 0.95, and the probability that P3 operates correctly is 0.93. Assume the three activations devices operate independently of each other. a. Find the probability that all activation devices will operate correctly. b. Find the probability that the alarm system will come on. c. Find the probability that the alarm system will fail.

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