Question

Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ= 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.

Answer 1

To find the probability that a randomly selected adult female has a pulse rate between 70 beats per minute and 78 beats per minute, calculate the z-scores for both values and use the standard normal distribution table to find the probabilities. The probability is 0.6255.

Step-by-step explanation:

To find the probability that a randomly selected adult female has a pulse rate between 70 beats per minute and 78 beats per minute, we need to calculate the z-scores for both values and then use the standard normal distribution table to find the probabilities.

The z-score for 70 beats per minute is calculated as (70 - 74) / 12.5 = -0.32. The z-score for 78 beats per minute is calculated as (78 - 74) / 12.5 = 0.32.

Using the standard normal distribution table, the probability of a z-score between -0.32 and 0.32 is 0.6255. Therefore, the probability that her pulse rate is between 70 beats per minute and 78 beats per minute is 0.6255.