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Suppose 44 patients arrive at a hospital emergency department on any given day Recent data indicate that approximately 19 of these patients are admitted for inpatient care We will consider these 44 patients to be a representative sample of people who are served by this hospital and 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 4 3 The probability that x is at least 10 4 The probability that x is more than 3 and less than 14 5 The probability that x is more than 15 6 The probability of no successes in the trials 7 The probability that all n trials results in a success LUSE 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 fixed number of trials We do n 44 have a fixed number of trials in this scenario and the number of trials is defined to be 2 Each trial can result in one of only two possible outcomes labeled success and failure 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 patients admitted for inpatient care 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 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 0 19 a percent and will not change for each trial 1 x 8 2 3 4 5 independent entered as a decimal not 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 with probability of X

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