Suppose p(a)=0.2 p(b)=0.4 p(b|a)=0.3 what is p(a|b) ?

a. 0.12
b. 0.1
c. 0.075
d. 0.15

Solve for x i'll try to attach the files bc it's not letting me for some reason

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.

What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)