Question

Some people are not functionally impaired now, but their pulmonary function usually declines with age and they eventually will be functionally impaired. assume that the decline in fev over n years is normally distributed, with mean = 0.03n l and standard deviation = 0.02n l. 5.23 .What is the probability that a 45-year-old man with an fev of 4.0 l will be functionally impaired by age 75? 5.24 answer problem 5.23 for a 25-year-old man with an fev of 4.0 l.

Answer 1

To calculate the probability of a 45-year-old man with an FEV of 4.0 L becoming functionally impaired by age 75, we need to calculate the z-score and find the corresponding probability using a standard normal distribution table.

Step-by-step explanation:

To determine the probability that a 45-year-old man with an FEV of 4.0 L will be functionally impaired by age 75, we need to calculate the z-score and then find the corresponding probability using a standard normal distribution table.

Step 1: Calculate the z-score. The formula for the z-score is z = (x - mean) / standard deviation, where x is the value of interest, mean is the mean of the distribution, and standard deviation is the standard deviation of the distribution. For a 45-year-old man with an FEV of 4.0 L, the z-score is:

z = (4.0 - 0.03n) / (0.02n)

Step 2: Find the corresponding probability using a standard normal distribution table. The probability can be calculated as:

Probability = 1 - (Area to the left of the z-score)

Given the specific values of the mean and standard deviation are not provided, it is not possible to calculate the exact probability. Please provide the specific values of the mean and standard deviation for an accurate calculation.