Final answer:
To find the chance that a 2-year-old boy is less than 26 inches tall, we need to use the normal distribution. The probability can be calculated using a z-score table.
Step-by-step explanation:
To find the chance that a 2-year-old boy is less than 26 inches tall, we need to use the normal distribution. Let's assume that the heights of 2-year-old boys follow a normal distribution with a mean of 28 inches and a standard deviation of 2 inches. We can use the z-score formula to calculate the probability:
z = (x - mean) / standard deviation
where x is the value we're interested in. In this case, x = 26 inches. Plugging in the values, we get:
z = (26 - 28) / 2 = -1
Using a z-score table, we can find the probability corresponding to a z-score of -1, which is approximately 0.1587. But we're interested in the left tail, so the probability of a 2-year-old boy being less than 26 inches tall is 0.5 - 0.1587 = 0.3413. Therefore, the answer is option A: 0.3413.