The ratio of blue to red counters is 5:2 the ratio of red the green counters is 8:3 there are 30 green counters. how many blue? PLS HELP​

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.