A local business has various advertising campaigns. It had television ads numbered 1, 2, 3, 4, 5, 6, newspaper and magazine ads numbered 1, 2, 3, 4, 5, and social media ads labeled 1, 2. If a single advertisement campaign is picked at random, what is the probability that the advertisement is a social media ad and has an odd number?

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.