This study source was downloaded by 100000802832151 from CourseHero.com on 11-07-2022 06:29:56 GMT -06:00https://www.coursehero.com/file/66013539/Week-4-Evaluating-Probability-with-the-Binomial-Distributiondocx/ Week 4 Assignment: Evaluating Probability with the Binomial Distribution Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high-difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is theprobability that Boris is assigned a moderate-difficulty question first? Give your answer as a fraction.A baker finds several new recipes to try. Of the new recipes, there are 11 for cookies, 10 for muffins, and 4 for cakes. If the baker selects a recipe at random, what is the probability the recipe is for a cake? Give your answer as a fraction.This study source was downloaded by 100000802832151 from CourseHero.com on 11-07-2022 06:29:56 GMT -06:00https://www.coursehero.com/file/66013539/Week-4-Evaluating-Probability-with-the-Binomial-Distributiondocx/The table below shows a probability density function for the discrete random variable X , the number of times students had to retake a math test until they received a perfect score. What is theprobability that X is 0 or 2 ? Provide the final answer as a fraction.x P(X = x) 0 3/16 1 3/8 2 1/16 3 1/16 4 5/16 The table below shows a probability density function for a discrete random variable