2. President Donald Trump has promised to pass a bill to build a wall on the U.S
ID: 3050841 • Letter: 2
Question
2. President Donald Trump has promised to pass a bill to build a wall on the U.S. border. Polls show that 90% of registered Democrats are against this bill, while 60% of registered Republicans and 50% of registered Independents, favor the bill. The distribution of party affiliation is 35% Democrat, 30% Republican, and 35% Independent. (5) a. What is the probability that someone picked at random does not favor (5) b. Suppose a randomly selected person does favor the bill. What is the 3. An urn contains 12 red balls and 8 green balls. Six balls are drawn the bill? probability that they are rogistered as a Republican? (3) (3) (4) randomly with replacement a. Find the probability of drawing exactly two red balls? b. Find the probability of drawing at least one green ball? c. Find the probability of drawing exactly two green balls when the drawings are done without replacement?Explanation / Answer
2) a) Someone picked at random does not favor the bill is (0.9*0.35)+(0.6*0.3)+(0.5*0.35) 0.67 b) Randomly selected person does favor the bill and he is from republican Probability of favoring the bill (0.1*0.35)+(0.4*0.3)+(0.5*0.35) Republican favouring the bill (0.4*0.3) Therefore Randomly selected person does favor the bill and he is from republican is 0.363636364 3) 12 red balls and 8 green balls 6 balls are drawn at random with replacement a) Exactly 2 red balls First red ball (12/20) Second red ball (12/20) Similarly for rest green balls (8/20)^4 Therefor probability of Exactly 2 red balls 0.009216 b) Atleast one green ball (1 - probability of all red ball) 0.953344 c) Exactly 2 green without replacement 1st green 0.4 2nd green 0.368421 3rd red 0.666667 4th red 0.647059 5th red 0.625 6th red 0.6 Therefore exactly 2 green without replacement is 0.023839009
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