If all parts are correct I will give a thumbs up for sure.

You may need to use the appropriate appendix table or technology to answer this question. Suppose we are interested in the Annual Salary of Electronics Associated, Inc. (EAI) managers and we find that for a sample of n=30 managers, there was 0.5034 probability (or 0.5064 using unrounded value and technology) of obtaining a sample mean within $500 of the population mean (see the figure below). For parts (a) and (b), let the population mean be 51,800 and =4,000. (Round your answers to four decimal places.) (a) What is the probability that x is within $500 of the population mean if a sample of size 70 is used? (b) Answer part (a) for a sample of size 140