PLS ANSWER ASAP Of the cakes at Dillon's Bakery, 1/2 have chocolate frosting. Of the cakes with chocolate frosting, 1/2 have raspberry filling. What fraction of the cakes at Dillon's Bakery have both chocolate frosting and raspberry filling?

Write your answer as a fraction or as a whole or mixed 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.