Final answer:
In a normal distribution, if the area to the left of x is known, the area to the right of x can be calculated by subtracting the area to the left from the total area of 1. The areas to the right of x in the given examples are 0.35 and 0.877 for areas to the left being 0.65 and 0.123, respectively.
Step-by-step explanation:
If the area to the left of x in a normal distribution is 0.65, to find the area to the right of x, we subtract the area to the left from 1, since the total area under a normal distribution curve is 1. Therefore, the area to the right of x is 1 - 0.65, which equals 0.35.
In response to the student's hypothetical scenario, if the area to the right of x in a normal distribution is 0.65, then the area to the left of x can be found by subtracting the area to the right from 1, giving us 1 - 0.65, which equals 0.35.
For the provided question 48, if the area to the left of x in a normal distribution is 0.123, the area to the right of x is 1 - 0.123, which is 0.877.
For question 49, if the area to the right of x in a normal distribution is 0.543, the area to the left of x is 1 - 0.543, which is 0.457.