Soybean Crop. Protein content in a particular farmer's soybean crop is normally distributed, with a mean of 40 grams and a standard deviation of 20 grams. Suppose we take samples of size 100 soy plants. Use this information for Exercises 7 and 8.

Question 7.197

7.

  1. Find the probability that the sample mean protein content will be less than 38 grams.
  2. Find the probability that the sample mean protein content will be between 36.08 and 43.92 grams.
  3. Find the probability that the sample mean protein content will be greater than 42.5 grams.