Question

Question 1 (4 points) A nutritional consultant is conducting research on local college students. She is interested in whether or not they are vegetarian and whether or not they have a B12 deficiencies. In total, 10% of the students are vegetarian. She finds that 8% of vegetarian students have a B12 deficiency. Also, she finds that 3% of non-vegetarian students have a B12 deficiency. If a student DOES NOT HAVE a B12 deficiency, what is the probability they are vegetarian? Hint: Please copy this table onto your scratch paper and fill it in to assist you in this problem. Make sure all of the numbers in your cells carry out to four decimal places. B12 Deficient Not B12 Deficient Total Vegetarian Not Vegetarian Total P(Vegetarian | NOT B12 Deficient) = 0 0.0953 00.3607 O 0.9200 O 0.9650 O 0.2286 O None of these.

Answer 1

	B12 def	not B12 def	total
veg	0.008	0.092	0.1
Not veg	0.027	0.873	0.9
total	0.035	0.965	1

P(veg |not B12 deficient) =0.092/0.965 =0.0953