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Let X be the Bernoulli random variable associated with the probability a worker gets a severe injury at his job in a given year. It
Let X be the Bernoulli random variable associated with the probability a worker gets a severe injury at his job in a given year. It takes the value 1 when the individual got an injury in the previous year while working (an event that happens with probability p) and takes the value zero otherwise (with probability one minus p). You obtain a random sample of 15 individuals from the American population and record whether or not they were injured at the job last year (Xi for i = 1, 2, 15) obtaining this sequence of values: X = (0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0). Estimating the chance of injury at the job 1. Let p be the probability that randomly selected American worker gets injury at the job in the course of an year. Find the maximum likelihood estimate of p
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