i need help

Normal Application:

A book publisher claims that its mean book length is 250 pages with a standard deviation of 70 pages.As a reviewer, you get paid per book, and not per page, to read over a manuscript.What is the probability that for a sample of 45 randomlyselected books, the mean length of a book is less than230 pages?(This is an EXTRA credit problem.)

To earn complete credit, your answer needs to show work as demonstrated in course materials.Your answer needs to (1) include the sequence of steps to be followed to solve the problem, (2) shows calculations used and values used from the standard normal table, and (3) gives the final answer in a sentence.