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?
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Problem 1 (15 points): You are considering buying stocks for…
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 5 (15 points): A tutoring center allows students to…
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 3 (19 points): A recent poll found that 28% of peopl…
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?
Which of the following is NOT true about presentation softwa…
Which of the following is NOT true about presentation software?
Symptoms of a user with technology addiction include all of…
Symptoms of a user with technology addiction include all of the following except __________.
How are electrical synapses DIFFERENT from chemical synapses…
How are electrical synapses DIFFERENT from chemical synapses?
Primary adrenal insufficiency is known as Addison’s disease….
Primary adrenal insufficiency is known as Addison’s disease. What hormone(s) is/are deficient?
Use the data from Chart 1 from the Metabolism and Thyroid ex…
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].
When the stimulus intensity increases, _______.
When the stimulus intensity increases, _______.