Directions: Hand write your solutions and explanations on your Solve the followi
ID: 3337895 • Letter: D
Question
Directions: Hand write your solutions and explanations on your Solve the following problems. own paper. Do not write answers on this page. Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem. 1. 2. 3. You must write your name on the top right of the paper you turn in. 4. You must write the title of this problem set on the top of your paper. 5. Turn in your solutions following the directions in the assignment information orn Blackboard. The formulae for the Probability Unit can be found in Blackboard under the Probability Unit. 3. The results of the October 3rd vote on the Emergency Stabilization Act of 2008 are shown in the table below. Region Midwest Northeast South West Total Yes 57 62 86 58 263 Total No 42 21 68 40 83 154 98 434 a. Find the probability that a congressman voted for no. b. Find the probability that a congressman was from the west and voted no. c. Find the probability they voted yes given that they were from the west. d. Find the probability that they were Midwestern if they voted no. e. Find the probability that a congressman voted no if they were from South or West.Explanation / Answer
a. The probability that a congressman voted for no is 171 / 434 = 0.394
b. The probability that a congressman was from the west and voted no = 40 / 434 = 0.09217
c. The probability that they voted yes given that they were from the west is
P(Voted Yes and they are from west) / P(they are from west) = (58/434) / (98/434) = 0.5918
d. The probability that they were midwestern if they voted no is
P(midwestern and voted no) / P(voted no) = (42/434) / ( 171/434) = 0.2456
e. The probabiltiy that a congressman voted no if they were from south or west is
P(voted no and (south or west) ) / P(south or west) = ((68+40) / 434 ) / ((154/98)/434)
= 108 / 252 = 0.42857
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