MATH 225N Week 4 Assignment; Evaluating Probability With the Binomial Distribution

1. Question: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 the probability that Boris is assigned a moderate-difficulty question first?Give your answer as a fraction. 2. Question: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. 3. Question: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 the probability that X is 0 or 2?Provide the final answer as a fraction. 4. Question:The table below shows a probability density function for a discrete random variable X. What is the probability that X is 0, 3, or 5?Provide the final answer as a fraction. 5. Question:Which of the following tables shows a valid probability density function? Select all correct answers.Select all that apply: Example • You are flipping three fair coins, and want to know the possible outcomes. • Let the random variable X = the number of heads you get when you toss three fair coins. • The sample space (possible outcomes) for the toss of three fair coins is TTT, THH, HTH, HHT, HTT, THT, TTH, HHH. (H = heads; T = tails) • So, x = 0,1,2,3, because when you toss three coins, you have the possibility of getting 0 heads, 1 head, 2 heads, or 3 heads.