The average woman's height is 65 inches with a standard deviation of 3.5 inches. a.) Determine the z-score of a woman who is 70 inches tall. Round to the nearest tenth.

b.) Use a z-score table to determine how many women out of 10,000 would be taller than the 70 inch tall woman.

Part a:

p(z=1.43) find 1.43 in z table that'll be the answer for part a

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2