In: Statistics and Probability
In evaluating a proposed design of a new condominium next to the ocean, the architect wants to know if residents will want bay windows instead of balconies. It is known that the winds in the area are normally distributed with a mean of 25 km/hr. A coefficient of variation is also reported as 1. Generally, residents do not sit on the balcony if winds are in excess of 30 km/hr.
a) What proportion of the time would it be desirable to sit on the balcony?
b) What is the probability that the winds will be within ± 5 km/hr of the given mean?