#4-8. Suppose that the weights of women with a normal Body Mass Index (BMI) in the U.S. are normally distributed with a mean of 168.5 lbs. and a standard deviation of 20.8 lbs. Source: Center for Disease Control 4. Write the mean and standard deviation given above as mathematical statements using the proper symbols. Mean: Standard Deviation: 5. If a woman is selected at random from the U.S. population, what is the probability that she weighs less than 150 pounds? Use the following steps to solve the problem: . Label the mean on the normal curve below. Then mark off where the value of interest from the problem is and shade the desired area. Write the problem out as a mathematical statement using the appropriate symbols. P( Using the z-score formula, z -, find the z-score for the value of interest. Label this z on the number line and shade the desired area on the number line. Using either the Standard Normal Table or normalcdf on the calculator, find the desired area. Show your work. The probability a randomly selected woman weighs less than 150 pounds is