According to an organization focused on collecting criminal justice statistics, of the property crimes that were reported to the police in 2015, 18% were cleared through arrest, charging, and referral of the suspect for prosecution. Suppose 11 property crimes were reported in a town last year and that these crimes are independent, compute probabilities for the following situations. 1. State the single outcome that is most likely to occur along with its probability. 2. The probability that x is at most 2. 3. The probability that x is at least 4. 4. The probability that x is more than 1 and less than 8. 5. The probability that x is more than 5. 6. The probability of no successes in the trials. 7. The probability that all n trials results in a success. la USE SALT After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) The Binomial Experiment consists of a sequence of trials with the following conditions. Verify that each condition is satisfied for your chosen scenario. 1. There are a xed number of trials. We ,/ have a xed number of trials in this scenario and the number of trials is defined to be n = x 2. Each trial can result in one of only two possible outcomes, labeled success and failure. There '1 exactly two outcomes for each trial. The outcome to be counted is defined as success, and for this scenario x is dened to be the number of reported property crimes that are cleared V J 3. Outcomes of different trials are independent. It El q reasonable to assume that the sample for this scenario is a random/representative sample from the population of interest. This means the trials [ _ ._.._____.__. There are exactly two outcomes for each trial. The outcome to be counted is defined as success, and for this scenario x is defined to be the number of reported property crimes that are cleared V V 3. Outcomes of different trials are independent. It is reasonable to assume that the sample for this scenario is a random/representative sample from the population of interest. This means the trials are independent. 4. The probability that a trial results in a success is the same for each trial. For this scenario, the probability of success is defined to be p = .5 x (entered as a decimal, not a percent) and |will not v x change for each trial. (b) The Binomial Random Variable X is defined as X = number of success observed when a binomial experiment is performed. The probability of x is called the Binomial Probability Distribution. Use SALT's Binomial Distribution Calculator to determine the probabilities for your selected scenario. (Round your answers to five decimal places.) 1. X = 2 with probability of .044 2. 3. 4 5 . Submit Skip (you cannot come back). Need Help? Read It