The following is a probability distribution for the number o

The following is a probability distribution for the number of Mexican-American jurors. X. on a 12 person jury. The jury was randomly selected from a population in which 80% of the people are Mexican-American Use the special addition rule and the probability distribution to determine Use the special addition rule and the probability distribution to determine P(X = 4).

Solution

a)

P(x>=5) = P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + P(11) + P(12)

= 0.003 + 0.016 + 0.053 + 0.133 + 0.236 + 0.283 + 0.206 + 0.069

= 0.999 [ANSWER]

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b)

From the table,

P(x = 4) = 0.001 [answer]

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C)

P(4<=x<=6) = P(4) + P(5) + P(6) = 0.001 + 0.003 + 0.016 = 0.02 [ANSWER]