Math 1272 Exam 3 Part 2 Directions: Show all work on the examination paper. When
ID: 3369025 • Letter: M
Question
Math 1272 Exam 3 Part 2 Directions: Show all work on the examination paper. When using the calculator the function button(s) you used to determine your answers. Do not just writea MUST write down what the number represents 1. The following table gives the two-way classification of 500 students based they suffer from math anxiety. Use it to answer part a through f on sex, and Suffer From Math Anxiety Sex Male Female 160 175 No 80 85 la. If you randomly select one student from these 500 students, what is the probab student is a female ? la) lb. If you randomly select one student from these 500 students, what is the probabil student suffers from math anxiety? that this selected b)15) le. If you randomly select one student from these 500 students, what is the probability that this selested student suffers from math anxiety, given that he is a male? 1c) Id. If you randomly select one student from these 500 students, what is the probability that this selected student is a female and she does not suffer from math anxiety? le. Are the Event "suffers from math anxiety (Yes)" and "does not suffer from math anxiety No)" mutually exclusive events? Explain why or why not. le)Explanation / Answer
total students are 500
Males =160+80 =240
Females =175+85 =260
1a)
P(female) = 260/500 =0.52
1b)
P(suffer from math anxiety) = (160+175)/500 =335/500 =0.67
1c)
P(suffer math anxiety | male) = P(suffer math anxiety and male)/P(male)
= 160/240
=2/3
1d)
P(female and doesnt suffer math anxiety) = 85/500 =0.17
1e)
For mutually exclusive events, P(A and B) =0
So P(suffer from math anxiety and doesnt suffer from math anxiety) =0
because they can never occur at same time
only either of them can occur at a time