STA 308, Spring 2018 Assignment 2 Due Wednesday February 28, 2018 1) For two eve

Question

STA 308, Spring 2018 Assignment 2 Due Wednesday February 28, 2018 1) For two events A and B, the fo appropriate laws of probability to calculate: lowing probabilities are given. P(A)-O4, P(B)-0.25, PAlB)-0.7 Use th 2) Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following proportions. Elementary Middle High School School School 0.080 0.25 Fear 0.05 0.22 0.12 Do not fear 0.28 For a student selected at random, consider the events A-[Fear] and M-[Middle School]. f(A),25 a) b) Find the probabilities P(A),PCA nM),P(M) P(AUM). Are A and M independent? Why or why not? 3) In a region, 12% of the adult population are smokers, 0.8% are smokers with emphysema, an nonsmokers with emphysema. Denote the events A as the selected person is a Smoker and B as the se person has emph what is the probability that a person selected at randomhasemphyséma? bl Given that the selected person is a smoker, what is the probability that this person has emp c) Given that the selected person is not a smoker, what is the probability that this person has -4) Suppose P(A)-0.6 and P(B)a0.22.

Explanation / Answer

2) a) P(A) = (0.12 + 0.08 + 0.05) = 0.25

P(A M) = 0.08

P(M) = 0.08 + 0.25 = 0.33

P(A U M) = P(A) + P(M) - P(A M) = 0.25 + 0.33 - 0.08 = 0.5

b) P(A) * P(M) = 0.25 * 0.33 = 0.0825

Since, P(A M) P(A) * P(M), A and M are not independent events.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.