Question

Our class has 35 students in it. Ten students are nursing majors, 15 said ice cream was their favorite dessert and three students are nursing majors AND said ice cream was their favorite dessert. a. How many students are nursing majors, but have a favorite dessert that is NOT ice cream? (hint, the 10 nursing majors includes the three who love ice cream.) (1 point) b. Draw a Venn Diagram (or other suitable representation) of this situation and then answer the following questions. (2 points) c. How many students are neither nursing majors nor said ice cream was their favorite dessert? (1 point) d. If one student is selected at random, find the probability that the student… i.is a nursing major and said ice cream was the favorite dessert (1 point) iv. is a nursing major or said ice cream was the favorite dessert (1 point) v. isn’t a nursing major (1 point) 2. Suppose A and B are events where P(A) = = 3/8, P(B) = 1/3, and P(A or B) = ½ . a. Are A and B mutually exclusive events? Explain your reasoning. (2 points) b. Find P(A and B) (1 point)

Answer 2 only

Answer 1

as instructed i am doing question 2 only.

given data are:-

two events A and B are said to be mutually exclusive if ,

according to the problem,

so, we can say that A and B are not mutually exclusive events.

b). from the previous calculation we have,

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