Women’s heights can be modeled by a normal curve with mean of 64 inches and standard deviation of 4 inches.

(a). Women with heights between 61 inches (5’1”) and 74 inches (6’2”) fit comfortably in a new fuel- efficient car. What is the probability that a randomly selected woman is comfortable in this car?

(b).Women with heights between 64-inches (5’4”) and 68-inches (5’8”) can wear a medium Leggs panty- hose. What is the probability that a randomly selected woman can wear a medium?

4. Women’s heights have a mean of 165 cm and a standard deviation of 6.5 cm. Typical heights fall within one standard deviation of the mean. What is the probability that a randomly selected woman has a typical height in this distribution?

5. A tall woman with a height of 184.5 cm is nearly 6’ 1” tall. What is the probability that a randomly selected woman is taller than 184.5 cm?