a) Robert will miss an important episode of season on TV while attending a workshop in university, so he sets two devices to record it. The first one records 70-% of the time, and the second one records 60-% of the time. Use the concepts of probability to find out the probability that he gets home after the workshop and finds:

i. No copies of his program?

ii. One copy of his program?

b) A coaching academy divides its students into 2 groups. % percent of students are in the high caliber group, and % percent are in the low caliber group. The high caliber students make an average of 1 mistake in final exam while the low caliber make an average of 4 mistakes in final exam. Ronaldo had made no mistake in last year final exam. Use the suitable probability distribution function to find the probability that he is a high caliber student?

Note: Here =2 and =0