Assume that 13% of people are left-handed. if we select 10 people at random, answer the following questions:

a. what is the probability that there are exactly 3 lefties in the group? . (use 3 decimal places.)

b. what is the probability that there are at least 3 lefties in the group? . (use 3 decimal places.)

c. find the expected number of right-handers in the group.

d. find the standard deviation of the number of right-handers in the group. (use 3 decimal places.)

e. what is the probability that they are not all right-handed? . (use 3 decimal places.)

f. what is the probability that there are exactly 5 righties and 5 lefties? . (use 4 decimal places.)

g. what is the probability that the majority is right-handed?