# QNT 275 Final Exam 2017 – Students Suffer from Math Anxiety

**The following table gives the two-way classification of 500 students based on sex and whether or not they**** ****Suffer from Math Anxiety**

**Sex – Yes – No****Male – 168 – 72****Female – 167 – 93**

** If you randomly select one student from these 500 students, the probability that this selected student is a female is:**

Start by adding up all females (167+93), then divide by the sample size of 500.

52.000%

** If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is:**

Add up all the yeses (168+167), then divide by 500.

67.000%

** If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that he is a male is:**

Divide the total males (168+72) by the number of males with math anxiety 168.

70.000%

** If you randomly select one student from these 500 students, the probability that this selected student is a female, given that she does not suffer from math anxiety is:**

Divide the total of the no responses (72+93), then by female no responses 93.

56.364%

** Which of the following pairs of events are mutually exclusive?**

(Highlighted items ARE mutually exclusive).

- No and yes
- Male and yes
- Female and male
- Female and no
- Female and yes
- Male and no

**Are the events “Has math anxiety” and “Person is female” independent or dependent? Detail the calculations you performed to determine this.**

Person is female is INDEPENDENT because math anxiety does not determine what gender a person is.

Has math anxiety is DEPENDENT because gender can influence whether or not a person answers yes or no to having math anxiety.

**Student:**Lonny McDowell**Textbook:**QNT 275 Statistics Fundamentals**Course:**QNT 275 Final Exam 2017

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