You calculated Normal Distribution Probability using these numbers:where X is less than 67.59 for a mean of 65, and standard deviation of 12.35

To calculate the probability of X being less than 67.59 in a normal distribution with a mean of 65 and a standard deviation of 12.35, you can follow these steps:

1. Calculate the z-score: The z-score measures how many standard deviations an observation is from the mean. It is calculated using the formula: z = (X - μ) / σ, where X is the value you want to find the probability for, μ is the mean, and σ is the standard deviation. In this case, X = 67.59, μ = 65, and σ = 12.35. Plugging in these values, we get: z = (67.59 - 65) / 12.35.

2. Look up the z-score in the standard normal distribution table: The standard normal distribution table provides the probability corresponding to each z-score. Find the closest z-score in the table and note the corresponding probability. If the exact z-score is not available, you can use the closest available value and estimate the probability.

3. Interpret the probability: The probability you find in the standard normal distribution table represents the area under the curve to the left of the z-score. In this case, it represents the probability of X being less than 67.59.

By following these steps, you can calculate the normal distribution probability for X being less than 67.59 with a mean of 65 and a standard deviation of 12.35.