The advanced placement program allows high school students to enroll in special classes in which a subject is studied at the college level. Proficiency is measured by a national examination. The possible scores are (1), (2), (3), (4) and (5), with 5 being the highest. The probability that a student scores (1) is 0.146, (2) is 0.054, scores (3) is 0.185, (4) is 0.169 and score (5) is 0.446. suppose 10 students in class take the test

A) what is the probability that three of them score (5), two score (4), four score (3) and one scores (2)?

B) what is the probability that at most two students score (5)

C)how many students are expected to score (5) out of the ten students who took the test?