Write-Up 4 Write careful, well-organized, neat, complete sentence answers to the questions and complete, well-organized answers/solutions for these problems and submit them according to the instructions provided on the "Directions for Submitting Written Assignments" page (including those in the "Directions for Writing Mathematics" document that is linked to that page). The "Directions for Submitting Written Assignments" page is housed in the "Orientation to Stats Online" module. Your answers to these questions/problems will be graded on correctness and your ability to communicate your answer. In contrast to the MyLab homework, where it is (only) the correctness of the answer you submit that is evaluated, it is your communication of the process, as well as the correctness of the mathematics, that is what is being evaluated on these assignments. Always show your steps and/or explain your thoughts and reasoning clearly. Simply writing the correct answers to computational problems without showing how you arrived at them will earn a very small number of points. Full credit will not be earned, even for correct answers, if the answer is not fully supported and you have followed all directions. Write (or type) neatly. Do not cross out errors. . . erase them. If you find yourself erasing extensively, stop and start again on a fresh page. If you choose to use a pen, do not scribble things out. In applied problems (a.k.a. word problems), you must define every variable you introduce (include the units of measurement where relevant). Answer every applied problem with a complete sentence that answers the question. Clearly indicate your final answers for all problems. FOLLOW ALL DIRECTIONS Use the tools we have learned in this class to address the problems in this assessment. Use technology to compute any values associated with a Normal distribution; include a photo or screenshot or snip of the technology's output and state the name of the technology employed. Values obtained by a Z Table will not receive full credit. Write an English sentence defining/describing what each letter you use to represent an event, outcome, or variable (e.g. A, happy, x, etc.) stands for in the context you use it. Demonstrate that all requisite conditions are satisfied using the specific information provided whenever a Normal model is used in a calculation involving a sampling distribution and the conditions haven't been checked for you. [4 pts] 1 The Masterfoods company reports that bags of Peanut M&Ms contain 10% each brown and red candies, and 20% each yellow, blue, and orange candies. The rest of the candies are green. Use this information to compute each of the probabilities requested in parts (a) & (b). Sentence answers to these questions are not required. [1 pt] (a) Suppose you randomly pick two Peanut M&Ms candies (without replacement), what is the probability that at least half of those candies you select are red? (3 pts] (b) Suppose instead you randomly pick two-hundred Peanut M&Ms candies (without replacement), what is the probability that at least half of those candies you select are red?[3 pm 2. The average (as measured by the mean) number of children per family in the United States is 0.9 and the standard deviation of the number of children per family in the United States is l. 1. The distribution of the number of children per family in the United States is skewednright. What is the probability that there are 90 or fewer children in a random sample of eighty families? Report your answer with at least four digits after the decimal point. Include this value in a context-based English sentence that answers the question. [3 pls] 3. A fluniture store manager sells leather living room sets comprised of a sofa, a loveseat, and achair. The prices of these sets are Normally distributed with mean $8,256 and standard deviation $1,150. The manager has decided to create an advertisement promoting the leather living room sets to the middle 60% of her customer base with regards to price. Determine the minimum and maximum prices of the leaver living room sets that this furniture manager's ad will target. Report your answers to nearest whole dollar. Include your two values in a | context-based English sentence that answers the question. Use technology to compute any values associated with a Normal distribution; include a photo or screenshot or snip of the technology's output and state the name of the technology employed