Question

SAT Critical Reading ScoresAssume a member is selected at random from thepopulation represented by the graph. Find the probabilitythat the member selected at random is from the shadedarea of the graph. Assume the variable x is normallydistributedThe probability that the member selected at random is from the shaded area of the graph is (Round to fourdecimal places as needed.)

Answer 1

Remember that

z =(x - μ)/σ

where

μ=509

σ=121

so

Find out the value of Z for x=200

Z =(200 - 509)/121

Z=-2.5537

Find out the value of Z for x=450

Z=(450-509)/121

Z=-0.4876

Using a Z-scores table values

we have that

P(200