2 3 5 8 0 STA 308, Spring 2018 Assignment 2 Due Wednesday February 28, 2018 1) F

Question

2 3 5 8 0 STA 308, Spring 2018 Assignment 2 Due Wednesday February 28, 2018 1) For two events A and B, the following probabilities are given. P(AJ-O4, P(B)-0.25, P0.7 Use the appropriate laws of probability to calculate: O.1/.35 a) P(A) b) P(ANB) -c) P(AUB) Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following proportions Elementary Middle |-High- School 0.12 School School 0.08 0.05 0.25 0.22 Fear Do not fear 0.28 For a student selected at random, consider the events A [Fear] and M [Middle Schooll. a) Find the probabilities P(A), PCAn M),P(M), PAUM) A) 2 b) Are A and M independent? Why or why not?

Explanation / Answer

Please post 1 question per post:

Here' answer to the Q1:

a. P(Ac) = 1- P(A) = 1-.4 = 0.6

b. P(A and B) = P(A|B)*P(B) = .7*.25 = 0.175

c. P(A U B) = P(A)+P(B) - P(A and B) = .4+.25-.175 = 0.475

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