Question

Adult female height is normally distributed with a mean of 65.3 inches and a standard deviation of 2.32 inches. a) If an adult female is randomly selected, what is the probability that the adult female has a height less than 61.3 inches? Round your final answer to four decimal places

Answer 1

To find the probability of an adult female having a height less than 61.3 inches, calculate the z-score and use a standard normal distribution table or calculator to find the corresponding probability.

Step-by-step explanation:

To find the probability that an adult female has a height less than 61.3 inches, we need to first standardize this value. We can do this by calculating the z-score using the formula z = (x - mean) / standard deviation.

z = (61.3 - 65.3) / 2.32 = -1.72

Then, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of -1.72. The probability is approximately 0.0425, rounding to four decimal places.