Final answer:
To find P(z>-2.05), use a z-table to find the area to the left of -2.05, and then subtract this value from 1. Sketching the standard normal curve and shading the area right of z=-2.05 can help visualize the calculated probability.
Step-by-step explanation:
The student is asking to calculate the probability that a randomly chosen value from a standard normal distribution is greater than -2.05, denoted as P(z>-2.05). To find this value, we generally use a z-table, which indicates the area under the curve to the left of a given z score. To find P(z>-2.05), we would look up the value of -2.05 in the z-table and find the corresponding area to the left of z. Most z-tables provide this left-tail area directly.
So, suppose the z-table shows the area to the left of -2.05 as 0.0202 (just an example, not the actual value). The area to the right, which represents P(z>-2.05), is given by 1 minus the left-tail area. So we calculate P(z>-2.05) = 1 - 0.0202 = 0.9798.
To give a visual representation, one can sketch a standard normal distribution curve, shade the area to the right of z=-2.05, and label the shaded area with the calculated probability.