A study investigating the relationship between age and annual medical expenses randomly samples 400400 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is sigmaσequals=1111​, find the probability that the mean age of the individuals sampled is within oneone yearyear of the mean age for all individuals in the city.​ (Hint: Find the sampling distribution of the sample mean age and use the central limit theorem. You​ don't have to know the population mean to answer​ this, but if it makes it​ easier, use a value such as muμequals=3535​.)

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