Forty-five percent of the adult population in a particular large city are women. A court
is to randomly select a jury of 12 adults from the population of all adults of this city.
a) Find the probability that none of the 12 jurors is a woman. (1 point)
b) Find the probability that at most 4 of the 12 jurors are women. (1 point)
c) Let x denote the number of women in 12 adults selected for this jury. Obtain the
probability distribution of x. (1 point)
d) Using the probability distribution obtained in part c, find the following
probabilities.
i.P(x>6)
ii.P(x≤3)
iii.P(2 ≤ x ≤7)
