Complete the following statements by typing youranswers in the spaces provided.  If you are asked todetermine the probabilities, state your answers to 4 decimalplaces.  If you are asked to determine a value of Y,state your answers to 2 or 3 decimal places.  Because youwill be typing in your answers,  I cannot ask you to drawdiagrams as I have done in my previously posted practice finals andsolutions to examples, I suggest when you are working on youranswers on scrap pieces of paper (or a print out of the examsheets), draw the diagrams.  You are more likely to getthe right answer if you use diagrams.  For each of thesestatements I am asking you fill in more than one blank so that Ican give you part marks if your intermediate calculation is correctbut your final calculation iswrong.   

When answering each of the following, the randomvariable Y is normally distributed with a mean of 65 and a standarddeviation of 4.

1. The value of z for being able to determine P(Y ≤ 60) is_____

The P(Y ≤ 60) is_____

1. The 2 values of z for being able to determine P( 70 ≤ Y ≤ 73)are _____ and _____

The P( 70 ≤ Y ≤ 73) is_____

1. The value of z for being able to determine P(Y ≥ 72) is_____

The P(Y ≥ 72) is_____

1. The closest value of z for being able to determine the value ofy such that 10% of the values Y are less

than that y is______

                  Theapproximate value of y such that 10% of the values Y are less thanthat y is ______