In a Internee program at Airline Company, 60 percent of the internees are female and 40 percent male. 80 percent of the females are business students, and 65 percent of the males are business students. a) An internee is selected at random. What is the probability that the person selected is a female who is not a business student? b) Are gender and field of study, independent in this case? Why?
Answers
Answer:
3/25
Step-by-step explanation:
Now here there are two conditions, that the intrenee selected should be a woman and she should not be a bussiness student.
Probability of woman intern = 60 / 100 = 6 /10
Now the other condition is that this woman she should not be a bussiness student.
That probability would be = 20/100
Probability that selected intern be a non bussiness student woman = 6 / 10 x 2 / 10 = 12 / 100
Probability that selected intern be a non bussiness student woman = 3/25
Given : 60 percent of the internees are female and 40 percent male. 80 percent of the females are business students, and 65 percent of the males are business students
To find : person selected is a female who is not a business student
Are gender and field of study, independent in this case
Solution:
Let say Total internee = 100A
Female = 60A
Male = 40A
Business Studies Female = (80/100)60A = 48A
Female not Business Studies = 60A - 48A = 12A
Business Studies Male = (65/100)40A = 26A
Total Business Studies = 48A + 26A = 74A
Probability that the person selected is a female who is not a business student = 12A/100A = 3/25
Probability Of Selecting Female = 60A/100A = 3/5
Probability Of Selecting Female if Business Studies = 48A/74A = 24/37
3/5 ≠ 24/37
Not independent
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