Complete the following statements by typing youranswers in the spaces provided. If you are asked to determine theprobabilities, state your answers to 4 decimal places. If you areasked to determine a value of Y, state your answers to 2 or 3decimal places. Because you will be typing in your answers, Icannot ask you to draw diagrams as I have done in my previouslyposted practice finals and solutions to examples, I suggest whenyou are working on your answers on scrap pieces of paper (or aprint out of the exam sheets), draw the diagrams. You are morelikely to get the right answer if you use diagrams. For each ofthese statements I am asking you fill in more than one blank sothat I can give you part marks if your intermediate calculation iscorrect but 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 ≤ 62) is_______

The P(Y ≤ 62) is________

1. The 2 values of z for being able to determine P( 69 ≤ Y ≤ 74)are _______ and ________

The P( 69 ≤ Y ≤ 74) is_________

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

The P(Y ≥ 72) is________

1. The value of z for being able to determine the value of y suchthat 10% of the values Y are less than that y

Is ________

              The value of y such that 10% of the values Y are less than that yis _________