Written Homework Assignment Supplemental Topic: Simulations MATH-138 Online Statistics Directions: On a separate sheet of paper, write out your solutions to the questions below. Then scan your written work, save it as a PDF file, and submit it on Canvas. Assignment: (12 points total) 1 ) Neurological research has shown that in about 80% of people, language abilities reside in the brain's left side. Another 10% display right-brain language centers, and the remaining 10% have two-sided language control. (The latter two groups consist of mainly left-handed people.) Suppose a large class is split up into groups of 7 students. Use a simulation to determine the likelihood that a randomly selected group has at least one student that has two-sided language control by following the steps below. a) For each trial, explain how many random numbers you will generate, the range of those random numbers, and what the numbers represent. (A general example of this sentence: I will generate X numbers between X and X where X-X represent A, X-X represent B and X-X represent C.) b) Write the calculator command you will use, along with the values, to generate each trial. c) Create a table showing the components and outcome for 10 trials. An example of how to format your table is below. Number of Students that have Trial Component two-sided language control give generated 1 X numbers here} {give newly generated 2 X numbers here} Continue table for a total of 10 trials. d) According to your simulation, what is the likelihood that a randomly selected group has at least one student that has two-sided language control? Show your fraction and decimal answers