(b) Here is some data from the 2016 General Social Survey that cross-classified a random sample of Americans according to their gender and belief in an afterlife. Belief No or Undecided 357 413 770 Gender Females Males Yes 1230 859 2089 Total 1587 1272 2859 (i) Suppose you ran into one of the people that was sampled during the 2016 General Social Survey, what is probability that this person would identify as male? Is this a marginal probability or a joint probability? What is the probability that someone who had been sampled during this survey believed in the afterlife? Is this a marginal probability or a joint probability? (iii) What is probability that a person who identifies as female does not believe in the afterlife or is undecided? Is this a marginal probability or a joint probability?

Anita's, a fast-food chain specializing in hot dogs and garlic fries, can monitor how many customers at its restaurants want to eat (in addition to ordering takeout) to decide whether or not to build a location to play in the city. . Including the presence of Sammy the mascot in local locations, stores and franchises, Anita reports that 45% of her customers order food for delivery. If this ratio is true, what is the probability that a random sample of 3 of Anita's 4 customers will order food? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

The next set of problems are the probability problems from the handout, #'s 1, 2, and 3. Make sure to show all your work for them so you can get partial credit if you get it wrong.  Round them off to three decimal places (like .256) One study says that 23% of adults in the US use some form of marijuana regularly.  If you randomly select 5 people, what is the probability that none of them use marijuana?