Author: Anonymous

Which part of the internal intercostal muscles assists in expiration?

Which muscle functions to assist with inspiration?

Which force affects the part of the ribs that are directly attached to the sternum during respiration?

Problem 3 (19 points): A recent poll found that 57% of people dress up in costumes for Halloween.  Suppose we take a random sample of 28 people and record how many of them dress up for Halloween. (6 pts) What probability distribution is this? Show all necessary work to support your claim. (6 pts) What is the probability exactly 18 of the people dress up for Halloween? (7 pts) What is the probability between 10 and 16, inclusive, of the people dress up for Halloween?

Problem 4 (21 points):   Based on a survey, it was found that 72% of people have a pet cat, 26% of people have a pet bird and 7% of people have both a pet cat and a pet bird. (4 points) What is the probability that a person had a pet bird, given they had a pet cat?  (4 points) What is the probability a randomly selected person had a pet cat or a pet bird? (3 points) What is the probability that a randomly selected person did not have a pet bird? (5 points) Are the events “having a pet cat” and “having a pet bird” independent? Show all work to support your claim. (5 points) Are the events “having a pet cat” and “having a pet bird” mutually exclusive? Show all work to support your claim.

For any event E, the probability of E, , must always be between:

Problem 3 (19 points): A recent poll found that 28% of people enjoy going to haunted houses.  Suppose we take a random sample of 30 people and record how many of them enjoy haunted houses. (6 pts) What probability distribution is this? Show all necessary work to support your claim. (6 pts) What is the probability exactly 9 of the people enjoy haunted houses? (7 pts) What is the probability between 4 and 10, inclusive, of the people enjoy haunted houses?

Problem 5 (15 points): A tutoring center allows students to make appointments for up to 60 minutes.  Let the random variable X represent the amount of time that the student spends stays for tutoring, and assume that all time intervals of equal length are equally likely. (4 points) What is the probability distribution for the random variable X? (5 points) Graph the distribution. (6 points) What is the probability that a student stays for tutoring between 31 and 48 minutes?

Problem 1 (15 points): You are considering buying stocks for $50.  Based on claims, there is a 15% chance that the stock’s worth will increase, a 46% chance that it will stay the same, and a 39% chance it will decrease.  If the stock increases, you will be able to sell the stocks for $65, if it stays the same, you will be able to sell them for $50, and if the stock market decreases, you will be able to sell them for $40. (6 pts) Find the probability distribution representing your profit if you buy and resell the stocks. (6 pts) Calculate the expected value of your profit if you buy and sell back the stocks. Should you buy these stocks?  In a sentence, explain why or why not? (3 pts) If you bought 19 of these stocks, how much money would you expect to make/lose?

Problem 6 (19 points): A certain pizzeria knows that to make a pizza, the distribution of the amount of sauce they use has a normal distribution with a mean of 6.8 ounces and a standard deviation of 1.8 ounces. (6 pts) If a pizza has too much sauce on it, the customers start to complain. The pizzeria notices that customers complain if they have the top 10% of sauce.  What is the amount of sauce used for this top 10% where the customers begin to complain? (6 pts) Suppose that in a single day, the bakery makes 36 pizzas. Describe the sampling distribution of the sample mean amount of sauce used throughout the day. (7 pts) What is the probability that the mean amount of sauce used for the 36 pizzas was between 7 and 8 ounces?