Question

Glaucoma is a disease of the eye that is manifested by high intraocular pressure. The distribution of intraocular pressure in the general population is approximately normal with mean 16 mm Hg and standard deviation 3 mm Hg. (a) What percentage of people have an intraocular pressure lower than 11 mm Hg? (b) Fill in the blank. Approximately 80% of adults in the general population have an intraocular pressure that is greater than__(how many?) mm Hg.

Answer 1

Answer:

P (X \leq 11) = 0.0478

) for z = 80% ,  X = 13.88 mm Hg

Step-by-step explanation:

given data:

mean = 16 mm Hg

standard deviation  3 mm Hg

let  x be the percentage of individual which have intraocular pressure

a) P (X \leq 11)

$P(\frac{x -\mu}{\sigma} < \frac{11 - 16}{3})$

$P(z \leq - 1.66) = 0.0478$

b) for z = 80%

P(Z>z ) = 0.8

$P(\frac{x -\mu}{\sigma} < \frac{x - 16}{3}) = 0.80$

$z = \frac{x - 16}{3})$

$0.80 = \frac{x - 16}{3})$

x = 13.8 mm  Hg