When considering respiration, the tidal volume is the volume of air that is inhaled or exhaled during a normal breath. The tidal volume of adult males may be modelled by a normal distribution with population mean 510 millilitres and population standard deviation 20 millilitres. a) Find the probability that the tidal volume of a randomly selected adult male is less than 540 millilitres, giving the answer to 5 decimal places. b) Find the value which is less than 5% of all adult males’ tidal volumes, giving the answer to 3 significant figures. c) Find the probability that the sample mean tidal volume of a randomly selected sample of 16 adult males is greater than 517 millilitres, giving the answer to 5 decimal places.

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