Final answer:
To find the probability that a random value of x is equal to 430 in a normal distribution with a mean of 450 and a standard deviation of 20, we need to calculate the z-score. The probability is approximately 0.1587.
Step-by-step explanation:
To find the probability that a random value of x is equal to 430 in a normal distribution with a mean of 450 and a standard deviation of 20, we need to calculate the z-score. The z-score is calculated as (x - mean)/standard deviation. For x = 430, the z-score is (430 - 450)/20 = -1. Using a standard normal distribution table or a calculator, we can find that the probability of a z-score of -1 or less is approximately 0.1587.