You are asked to a study of shelters for abused and battered women to determine the necessary capacity in your city to provide housing for most these women. After recording data for a whole year, you find the mean number of women in shelters each night is 250, with a standard deviation of 75. Fortunately, the distribution of the number of women in the shelters each night is normal, so you can answer the following questions posted by the city council.

How many beds does the shelter need to have enough places for abused women on 95% of all nights?