Final answer:
To find the probability of a z-score being less than 1.4 in the standard normal distribution, one needs to look up the area to the left of z = 1.4 in a z-table, which is approximately 0.9192 or 91.92%.
Step-by-step explanation:
The question involves finding the probability that a randomly selected z-score is less than 1.4 using the standard normal distribution. The probability in a standard normal distribution can be found by consulting a z-table or using a statistical calculator that can compute the area under the normal curve to the left of a given z-score. The area to the left of z = 1.4 corresponds to the probability we are seeking. In the context of the standard normal distribution, a z-score of 1.4 is 1.4 standard deviations above the mean. Most z-tables will show this area as approximately 0.9192, indicating that there is a 91.92% chance that a randomly selected z-score will be less than 1.4 in a standard normal distribution.