Question 3: (5 marks) Remote sensing of inundated areas. Two independent satellite-borne sensors are used to determine the extension of inundated areas after a flood. Sensor A has a reliability of 70%, that is, the probability of detecting a pixel (picture element) whose characteristics reflect inundation is 0.7, whereas sensor B has a reliability of 90%. Also, the probability of both sensors detecting a pixel is 0.65. (a) Find the probability that a pixel reflecting inundation is detected, that is, it is detected by at least one of the two sensors. (b) Determine the probability that a pixel reflecting flooding is detected by only one sensor.