Author: Anonymous

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?

Problem 4 (21 points):   Based on a survey, it was found that 26% of people have a pet bird, 56% of people have a pet dog and 9% of people have both a pet bird and a pet dog. (4 points) What is the probability that a person had a pet dog, given they had a pet bird? (4 points) What is the probability a randomly selected person had a pet bird or a pet dog? (3 points) What is the probability that a randomly selected person did not have a pet dog? (5 points) Are the events “having a pet bird” and “having a pet dog” independent? Show all work to support your claim. (5 points) Are the events “having a pet bird” and “having a pet dog” mutually exclusive? Show all work to support your claim.

Symptoms of a user with technology addiction include all of the following except __________.

Which of the following is NOT true about presentation software?

When the stimulus intensity increases, _______.

Use the data from Chart 1 from the Metabolism and Thyroid experiment to answer the following question. The [a] rat develops a goiter with PTU injections because the intact [b] is stimulated by increased [c] secretion as a result of [d] feedback on the [e].

Primary adrenal insufficiency is known as Addison’s disease.  What hormone(s) is/are deficient?

How are electrical synapses DIFFERENT from chemical synapses?