Suppose that the heights of adult females is normally distibuted with population mean equal to 168cm and population standard deviation equal to 6cm. Let X denote the height of a randomly individual fro the population of adult females  d) What is the probabaility that X is in between 166cccm and 172cm? e) Suppose a smaple of 20 individuals are randomly selected from population of adult females. Let x̄ denote the mean height of this random sammple of adult females i) What is the distribution of x̄ in conventional statistical notation? ii)What is the probability that x̄ is in between 166.5 cm and 171.5cm

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