Test2 Math 224 NC A&T; State University, Spring 2018 Name Show all work to recie

Question

Test2 Math 224 NC A&T; State University, Spring 2018 Name Show all work to recieve full credit 1. Find the probability P(A or B) if P(A) 0.37, P(B) -0.56 and P(A and B)-0.35. 2. A population projection for 2018 in the 50 states and DC are grouped in the following frequency table. Population 0-3 36 6-99-12 12-15 1-18 18-21 21 or more Total per million No of states7 10 16 6 50 (End point convention: lower point is included, upper is not.) If one state is selected at random, what is the probability that the population prediction is: (A) Under 9? (B) Under 15 but not under 62 (C) 18 or over? Answer True of False. Given two events, A and B, the revised probability of A if it is known that B has occurred is called the conditional probability of A given B 3. The possible outcome of selecting a sample of three (3) letters from the five letters A, B, C, D, E are ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE. Determine the probabilty that either B or D is included in the sample. 4· Page 1

Explanation / Answer

1) P(A or B) = P(A) + P(B) - P(A and B) = 0.37 + 0.56 - 0.35 = 0.58

2) A) P(under 9) = P(0-3) + P(3-6) + P(6-9) = 7/50 + 10/50 + 16/50 = 0.66

B) P(between 6 and 15) = P(6-9) + P(9-12) + P(12-15) = 16/50 + 6/50 + 4/50 = 0.52

C) P(18 or over) = P(18-21) + P(21 or more) = 2/50 + 2/50 = 0.08

3) The statement is true

4) Sample with either B or D = ABC, ABD, ABE, ACD, ADE, BCD, BCE, BDE, CDE

P(either B or D) = 9/10 = 0.9

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