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A manufacturer of game controllers is concerned that its controller may be difficult for​ left-handed users....

A manufacturer of game controllers is concerned that its controller may be difficult for​ left-handed users. They set out to find lefties to test. About 12​% of the population is​ left-handed. If they select a sample of 8 customers at random in their​ stores, what is the probability of each of the outcomes described in parts a through f​ below?

​a) The first lefty is the fifth person chosen.

b) There are some lefties among the 8 people.

​c) The first lefty is the second or third person

d) There are exactly 3 lefties in the group.

​e) There are at least 3 lefties in the group.

​f) There are no more than 3 lefties in the group.

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