Question

X 0 1 2 3 5 6 7 9 10 11 12 Assume that 12 jurors are selected from a population in which 80% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury P(x) 0.000 0.000 0.000 0.000 0.001 0.003 0.0160.053 0.133 0.236 0.283 0.2060.069 a. Find the probability of exactly 5 Mexican-Americans among 12 jurors. P(5)-( b. Find the probability of 5 or fewer Mexican-Americans among 12 jurors. The probability of 5 or fewer Mexican-Americans among 12 jurors is c. Which probability is relevant for determining whether 5 jurors among 12 is unusually low: the result from part (a) or part (b)? O A. The result from part (a), because it measures the probability of exactly 5 successes B. The result from part (b), because it measures the probability of 5 or fewer successes, d. Is 5 an unusually low number of Mexican-Americans among 12 jurors? Why or why not?

Answer 1

Let x Mexican-Americans on be the number of jury. the mexican-Americans The probability of exactly 5 among 12 jurors is given by P(x=5) = P (5) = 0.003 TO find probability of 5 or fewer Mexican- Americans among 12 purors ie. to find P( X $5) . c P(X35) - P(x=0) +P X21) + PCX=2]+ PCX23) +-P(X24) + P(x=5) otototot orool +0.003 0.004, Required probability is 10.004 1. The Following probability is relevant for determining whether 5 jurors among 12 low Ans: ③ : The result from part 6 because it measures the probability of som fewer successes , (c is unusually (d) is 5 is an unusually love number of Mexican- Americans among 12 jurors Ans A to Yes , relevant because less than the equal probability is