(6) Venn This information a group\'s viewing habits over the last year revealed
ID: 3336262 • Letter: #
Question
(6) Venn This information a group's viewing habits over the last year revealed the following ·28% watched gymnastics. ·29% watched baseball. +19% watched soccer. ·14% watched gymnastics and baseball. +12% watched baseball and soccer. ·10% watched gymnastics and soccer. ·8% watched all three. leate the pereatage of the poup that watchnd soae of the sports during the none last year. (b) A college class consists of 32 students of which 17 students are engineering majors, and 13 students are female. There are 8 male engineering students in the class. 0) What is the probability that a person chosen at random from this class is a female engineering major? (ii) What is the probability that person chosen at random from this class is a female or an engineering student? (ii) What is the probability that person chosen at random from this class is a female and that the person is not an engineering major? (iv) How many students are male non engineering students?Explanation / Answer
6)a) P(G U B U S) = P(G) + P(B) + P(S) - P(G and B) - P(B and S) - P(S and G) + P(G and S and B)
= 0.28 + 0.29 + 0.19 - 0.14 - 0.12 - 0.1 + 0.08
= 0.48
P(none of the sports) = P(G U B U S)c = 1 - P(G U B U S) = 1 - 0.48 = 0.52
B) i) P(selecting a female engineering major) = 9C1/32C1 = 9/32 = 0.28125
Ii) P(female or an engineering student) = 13C1/32C1 - 17C1/32C1 - 9C1/32C1
= 0.65625
III)P(female and not engineering major) = 4C1/32C1 = 4/32 = 0.125
IV) No of male students = 32 - 13 = 19
No of male non engineering students are = 19 - 8 = 11
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.