Problem 6-10 The table below is similar to Table 6-1 in the text. It shows the n
ID: 3328056 • Letter: P
Question
Problem 6-10 The table below is similar to Table 6-1 in the text. It shows the number of students that fall into each of several categories. One student will be selected at random in a raffle, and will be given a new laptop PC. FEMALE CIVIL ENGINEERS FEMALE ELECTRICAL ENGINEERS FEMALE MECHANICAL ENGINEERS MALE CIVIL ENGINEERS MALE ELECTRICAL ENGINEERS MALE MEC ELECTRICAL ENGINEERS MALE MECHANICAL ENGINEERS UNDERGRADUATE STUDENTS GRADUATE STUDENTS Use the count-and- divide method to find the following probabilities: (a) Prígraduate and woman]- (b) Pr[EE and man]- (c) Prundergraduate and man] (d) Pr[CE and woman]-Explanation / Answer
(a) P(Graduate and woman) = (5 + 4 + 2) / (3 + 3 + 4 + 1 + 5 + 5 + 5 + 4 + 2 + 2 + 5 + 1)
= 11 / 40
= 0.275.
(b) P(Electrical engineer and man) = (5 + 5) / (3 + 3 + 4 + 1 + 5 + 5 + 5 + 4 + 2 + 2 + 5 + 1)
= 10/40
= 0.25.
(c) P(undergraduate and man) = (1 + 5 + 5) / (3 + 3 + 4 + 1 + 5 + 5 + 5 + 4 + 2 + 2 + 5 + 1)
= 11/40
= 0.275.
(d) P(Civil engineer and woman) = (3 + 5) / (3 + 3 + 4 + 1 + 5 + 5 + 5 + 4 + 2 + 2 + 5 + 1)
= 8/40
= 0.2.