Please write each probability as fractions in simplest form and/ or round four decimal places.

PART 2 - DISCRETE PROBABILITY DISTRIBUTION I1. Use the data set for number of pets. A. Construct and graph the discrete probability distribution from your data set. Note: You can use software (Excel, online sites, etc.) or draw them by hand using graph paper. B. Does your discrete probability distribution fulfill the two conditions it must satisfy? Explain. C. Find the mean, variance, and standard deviation of the distribution in part A above. Round to the nearest tenth. D. Find the following probabilities. 1. Using the probability distribution in part A, find the probability of randomly choosing a household that does not have a pet. 2. Using the probability distribution in part A, find the probability of randomly choosing a household that has more than 2 pets.east-1-prod-fleet01-xythos.content.blackboardcdn.com/blackboard.learn.xythos.prod/5896581008438/11726398?X-Blackboa Write each probability as fractions In simplest form and/or round four decimal places. PART 1 - PROBABILITY 1. Use the data set for gender and lied about your age A. Create a table from the data collected. B. Based on our sample, find the following probabilities What is the probability that a randomly chosen Statistics student has lied about their age? 2. What is the probability that a randomly selected Statistics student has lied about their age given that the student is a female? 3. What is the probability that a randomly selected Statistics student has lied about their age given that the student is a male? 4. Determine whether the events of being female and lying about your age are independent or dependent. Explain your reasoning. PART 2 - DISCRETE PROBABILITY DISTRIBUTIONA. Frequency Table. Show your work for partial credit! (10 pts) Lied about age Never lied about ane Total Males 6 22 28 Females 1 26 27 Total 48 55 R. Use the tabla al