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Assume prior belief suggests that a car averages 30 mpg with ơ-1 mpg. The last 5 fill-ups had the following mpgs: 25, 26, 30, 22, 20. Let the random variable X represent the actual mpg of the car. Using Bayes law address the following: 1. Solve for P(x observations), leaving the denominator unsolved. 2. In excel plot the distribution P(xlobservations) for -15,16,17,... ,38, 39,40 3. Which values of x maximizes P(observations)? Accordingly, what is the most likely mpg?

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