A group of 100 college students can be classified as boys (B) or girls (B'), engineers (E) or non engineers (E'), and upper (U) or lower class (U'). The number of each is given in the Venn diagram below. If a student is selected at random Cm 12 3 25 5 7 8 18 22 a. What is the probability the student is an engineer? b. What is the probability that the student is either an engineer or a girl? c. What is the probability that the student is a boy and an upper-class student? d. What is the probability that the student is neither an engineer nor an upper-class student? e. What is the probability that a student is a boy, given they are an engineer? f. What is the probability that a student is a girl, given that they are an upper-class student and an engineer? g. Are the events "engineer" and "girl" dependent or independent? Justify your