Bart Simpson takes a multiple choice exam in his Statistics 101 class. The exam has 16 questions, each has 4 possible answers, only one of which is correct. Bart did not study for the exam, so he guesses independently on every question. Let X denote the number of questions that Bart gets right. Round all answers to 4 decimal places. 1. Verify that it is appropriate to use the Binomial model to calculate probabilities for Bart's success on the exam by confirming the 4 criteria. State each criteria and why each is met. Include symbols and values for the number of trials and the probability of success. For the following probabilities, state the probability rounded to 4 decimal points: 2. What is the probability that Bart answers all of the questions correctly?

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Q: For one binomial experiment,  n1 = 75  binomial trials produced  r1 = 45  successes. For a second…

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