6. Forty-one percent of U. S. adults plan to wear green on St. Patrick's Day. You randomly select five U. S. adults and ask them whether they plan to wear green
on St. Patrick's Day. The random variable represents the number of U. S. adults
who plan to wear green on St. Patrick's Day. (Source: Rasmussen Reports)
(a) Construct a probability distribution.
(b) Graph the probability distribution using a histogram and describe its shape.
(c) Find the mean, variance, and standard deviation of the probability
distribution and interpret the results.

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.