2. Assume that 12 jurors are selected from a population in which 50% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury. x 0 1 2 3 4 5 6 7 8 9 10 11 12 P(x) 0.000 0.003 0.016 0.054 0.121 0.193 0.226 0.193 0.121 0.054 0.016 0.003 0.000 a. Find the probability of exactly 6 Mexican-Americans among 12 jurors. b. Find the probability of 6 or fewer Mexican-Americans among 12 jurors. c. Which probability is relevant for determining whether 6 jurors among 12 is unusually low: the result from part (a) or part (b)? d. Is 6 an unusually low number of Mexican-Americans among 12 jurors

a) 0.226

b) 0.613

c) Part(a)

d) Unusual event          

Step-by-step explanation:

We are given the following in the question:

   x:         0             1           2            3           4          5            6            7           8

P(x):    0.000    0.003    0.016     0.054    0.121    0.193    0.226     0.193    0.121  

   x:       9             10          11           12

P(x):   0.054     0.016     0.003    0.000

a)  Probability of exactly 6 Mexican-Americans among 12 jurors.

Thus, 0.226 is the probability of exactly 6 Mexican-Americans among 12 jurors

b) Probability of 6 or fewer Mexican-Americans among 12 jurors

Thus, 0.613 is the probability that  6 or fewer Mexican-Americans among 12 jurors.

c) The result from part (a), because it measures the probability of exactly  6

successes.

d) Unusual event

An event is said to be unusual if the probability of event is less than 0.5.

Since

Thus, it is an unusual event as the probability is less than 0.5

step-by-step explanation:

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