4Tee group of cllege students at a Midwestern university. table gives the sex an
ID: 3320007 • Letter: 4
Question
4Tee group of cllege students at a Midwestern university. table gives the sex and age group of college students at a Midwestern university. Male-Total 15 to 17 years 18 to 24 years 25 to 34 years 35 years or older Total 61 150 89 5,668 1,904 1,660 9,321 4,697 10,365 1,589 3,493 970 2,630 7,317 16,638 A student is to be selected at random. a) [6) Find the probability that the selected student is a female. b) [6] Given that the selected student is female, find the conditional probability that she is 25 to 34 years old.Explanation / Answer
from above given table total number of students =16638
a) probability that selected student is a female =number of female/ttal students =9321/16638=0.5602
b)condition probability of being 25 to 34 years old given female =1904/9321=0.2043