1.It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 7 people. Let x represent the number of left-handers.

a.Construct a binomial distribution.(Can you show 3 decimal places or as many as it takes to get to one non-zero digit.)

State answers using mathematical notation in terms of x. (For example, notation for "b" would be P(x=5) =____ )

Find the probability that:

a.exactly 5 people are left-handed. ____________________________________

b.less than 3 people are left-handed. ____________________________________

c.at least one person is left-handed. ____________________________________

d.Find the mean and standard deviation of the binomial distribution. (Can you show your work and round to the nearest hundredth)?