Question

(2)Heights of adult males are normal distributed with a mean of 65 inches and a standard deviation of 2 inches: a) Find the probability that randomly chosen male will have a height between 61 and 68 inches. b) Suppose you are the curator of James Madisons house where the height of the door jams are 70 inches. What is the chance that a randomly selected male will have to duck through the doorway? c) You are designing a new building what should the height of the door jam be in order to guarantee that 90% of typical males will not have to duck? d) Consider again James Madisons house. Suppose you can show the house to 200 people per day and that roughly 50% of the population is male, what is the chance on any given day that 2 or more males bump their heads ?
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