Final answer:
The question is about calculating the probability of a 40-year-old man's weight being less than 185 pounds with a normal distribution mean of 147 and standard deviation of 16. To find the probability, convert the weight to a z-score and then reference a standard normal distribution table.
Step-by-step explanation:
The student is asking about the probability that a 40-year-old man weighs less than 185 pounds, given that weight is normally distributed with a mean of 147 pounds and a standard deviation of 16 pounds. To determine this probability, we use the standard normal distribution which requires converting the given weight to a z-score.
In this case, the z-score for 185 pounds is calculated by subtracting the mean from the weight and then dividing by the standard deviation: Z = (185 - 147) / 16. After calculating the z-score, we consult a standard normal distribution table or use statistical software to find the probability that Z is less than this value, which corresponds to the weight being less than 185 pounds.
However, it should be noted that actual probability value was not calculated here. The user must follow the steps to find that specific value using the z-score formula.