Question

Select the correct answer from each drop-down menu. alice works at a health care facility. she has measured the hemoglobin levels of 200 people. the data follows a normal distribution with a mean of 14 g/dl and a standard deviation of 1. from the given data, we can conclude that about people have hemoglobin levels less than 13, and about people have hemoglobin levels greater than 14.

Answer 1

To find the probabilities of people having hemoglobin levels less than 13 and greater than 14, we can use the standard normal distribution. The probability of people having hemoglobin levels less than 13 is about 15.87%, and the probability of people having hemoglobin levels greater than 14 is about 50%.

Step-by-step explanation:

To answer the given question, we need to find the probabilities of people having hemoglobin levels less than 13 and greater than 14.

Since the data follows a normal distribution with a mean of 14 g/dl and a standard deviation of 1, we can use the standard normal distribution to find these probabilities.

To find the probability of people having hemoglobin levels less than 13, we calculate the z-score as (13 - 14) / 1 = -1. This means that 1 standard deviation below the mean. Looking up the z-score in the standard normal distribution table, we find that the probability is about 0.1587 or 15.87%.

To find the probability of people having hemoglobin levels greater than 14, we calculate the z-score as (14 - 14) / 1 = 0. This means that the value is at the mean. Looking up the z-score in the standard normal distribution table, we find that the probability is about 0.5 or 50%.