QUESTION 13 This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise You may need to use the appropriate appendix table or technology to answer this question. Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 60% chance of answering any question correctly. (a) A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. (b) A student who answers 36 to 39 questions correctly will receive a grade of C. What percentage of students who have done their homework and attended lectures will obtain a grade of C on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. (c) A student must answer 29 or more questions correctly to pass the examination. What percentage of the students who have done their homework and attended lectures will pass the examination? Use the normal approximation of the binomial distribution to answer this question. (d) Assume that a student has not attended class and has not done the homework for the course. Furthermore, assume that the student will simply guess at the answer to each question. What is the probability that this student will answer 29 or more questions correctly and pass the examination? Use the normal approximation of the binomial distribution to answer this question. Step 1 (a)A student must answer 45 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use the normal approximation of the binomial distribution to answer this question. Recall the conditions for a binomial probability. There are n independent trials, each with only one of two outcomes, a success or a failure. The probability of a success, p, is the same for each trial. The expected value, also referred to as μ, is calculated as  μ = np,  where n is the sample size. For this scenario, there are two options: a student gets a question correct or incorrect. Let a success be that a question is correct. It was given that a student who did the homework and attended lectures has a 60% chance of answering a question correctly. Convert this percentage to a probability.

A chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special.  The chef can either prepare 50, 100, or 150 lava cakes.  Assume that demand for the lava cakes can be 50, 100, or 150.  Each dish costs $5 to make and is priced at for $7 on the menu.  Unsold cakes are donated to a nearby charity center.  Assume that there is no opportunity cost for lost sales. Which alternative should be chosen based on the minimax regret criterion?

A survey of 120 families found that one fifth of the families owned only one vehicle and that one third owned 2 vehicles of those surveyed how many families owned one car

A student needs 8 more classes to graduate. If she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 5 classes?

trisha won 4 of her 6 chess matches .if she continues to win at rate,how many game will she win if she has 42 matches?

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Michael sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 215 visitors purchased no costume. 12 visitors purchased exactly one costume. 3 visitors purchased more than one costume. If next week, he is expecting 1800 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.

This is a Free Response question. You can either: 1) type in and show all your work in the textbox below OR 2) do all your written work on a scratch paper. If you choose this option, you can take pictures of all your work and upload it at the end of the exam using your phone. ***REGARDLESS OF WHAT OPTION YOU SELECT ABOVE, YOU MUST PUT YOUR FINAL ANSWERS IN THE BOX BELOW. FAILURE TO DO SO WILL RESULT IN A ZERO FOR THIS PROBLEM!*** Suppose we have scatter diagram for the heights of 3,000 pairs of fathers and sons. The summary statistics are: average height of fathers 70 inches SD-8 inches average height of sons 72 inches SD-4 inches, r 0.7 Find linear regression line for predicting height of the father(y variable) from the height of their sons(x variable). Use it to predict the height of a father whose son's height is 65 inches. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt AV AV I XQ 52 E X² X₂G >11 BAD

Think of the image to the right as a bunch of Skittles candy. iPhone is ready to launch a new way to open your phone and advertise Skittles at the same time. You need to push four "buttons" or pieces of candy to set your passcode. You may touch a piece of candy more than once. How many passcodes are possible? The picture above contains two of each of the following colors: red, green, pink, dark blue, yellow, and light blue.

You have 4 hours of free time today. You want to spend each hour doing something different, and you have 7 hour-long activities to choose from. How many different ways could you schedule your free time today?

Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192   a) Perform a regression analysis with x4 as the response variable. Use x1, x2, and x3 as explanatory variables. Look at the coefficient of…