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10-67.

According to the National Health Statistics Report, the average height of adult women in the U.S. is inches with a standard deviation of inches. Heights can be modeled with a normal probability density function. Homework Help ✎

  1. What percent of women are under ft in. tall?

    First, note that ft in. must be converted to inches.

    normalcdf^

  2. Most girls reach their adult height by their senior year in high school. In North City High School’s class of senior students, how many girls would you expect to be shorter than ft in.? (Note: Assume half of the senior students are girls.)

    Multiply by the percentage found in part (a).

  3. How many senior girls do you expect to be taller than ft at North City High?

    Follow the same steps you used in parts (a) and (b).