The demand for a certain book in a bookstore on any given day is given by the following table, where Y represent the number of purchases of the book on any given day. y 0 1 2 3 4 5 6 7 P(Y=y) 0.10 0.23 0.31 0.12 0.10 0.05 0.05 0.04 On a given day, what is the probability that more than 4 books will be sold? 

Please note that this question consists of three parts. You need to show all mathematical calculations/explanations to get the final answer. Just giving the answer without showing work may result in zero for the question.  Every year at the JSM expo, Penn State has a booth to promote the programs offered by the statistics department. Suppose that the person in charge of the booth always has the following set of free promotional items on the table for the people to pick from:   10 grocery bags 8 lunch bags 15 pens  Suppose that when needed, the items are restored before next person approaches the desk, so each person picks up from this set. Assuming a person is only allowed to pick one item, what is the chance that person picks a lunch bag?  Assuming a person is only allowed to pick one item, what is the chance that person picks either a grocery bag or a lunch bag? If a person is allowed to pick two items, what is the probability that person picks two lunch bags.     

Two studies were conducted to compare the experiences of low-income families receiving food stamps to those receiving cash subsidies.  Study 1: Interviewed 50 families who have been in the food stamps program and 50 families who have received cash subsidies for at least 2 years Study 2: Randomly assigns 50 families to each program and interviews them after two years.   Which of the below statement is correct about these studies? 

A student’s test scores are 88, `b` and `a`.  What grade do they need to get on their fourth test to have a 90 for their final grade? POST YOUR SOLUTION IN THE BOX BELOW.

You want to help Dr. Burnsed get more exercise while she’s working, so you and your classmates suggest an under desk bike (Figure 1 A) so that she can exercise while Yellowdigging. In the model, point b is the pedal where the ball of the foot connects and point p is where the pedal connects to the crank. Between b & p is the distance between the ball of the foot and the pedal. Treat each segment as a rigid body with no mass. Your leg exerts 20C.D N (at point b) in the -x direction on the ball of the foot, calculate the y-direction force at (b) and the x- and y- direction forces at (p). Also determine the magnitude of force on the ball of the foot. The length bp is 9.A inches and is 50.B degrees from the horizontal. Where ABCD are the last 4 digits of your ASU ID.   

What do we mean by a normal distribution?  Give an example of two variables (not included in another question here in the test) that you would expect to be normally distributed.  Enter your answer in the box below.

What is the name of the compound below. Fe(OH)3

What is the chemical formula of chromium(IV) oxide? Make sure to type the proper formula (subscript, capital and lower case letters must be all correct to receive the full credit.)

A graduate student in clinical psychology is investigating self-reported state anxiety among first-year doctoral students during their initial qualifying exam. She randomly samples 28 students and administers the State-Trait Anxiety Inventory (STAI). The sample yields a mean score of 24.3 with a standard deviation of 5.7. Assume STAI scores are approximately normally distributed in the population. Construct a 95% confidence interval for the population mean STAI score during the qualifying exam. (1.5 pts) Interpret this confidence interval in the context of the problem. (1.5 pt) The student wants to design a follow-up study with a 95% confidence interval whose margin of error is no greater than 1.5 points. Using s = 5.7 as a planning value for

Explain the difference between a sample and a population.  Type your answer here in the test.