The sat mathematics scores in the state of florida for this year are approximately normally distributed with a mean of 500 and a standard deviation of 100.
using the empirical rule, what is the probability that a randomly selected score lies between 500 and 700? express your answer as a decimal.

0.4772

Step-by-step explanation:

Mean =

Standard deviation =

Now we are supposed to find  the probability that a randomly selected score lies between 500 and 700.

Formula :

At x = 500

At x = 700

Now to find P(500<z<700)

P(0<z<2) =P(z<2)-P(z<0)

Now using z table :

P(z<2)-P(z<0) =0.9772-0.5000=0.4772

Thus the probability that a randomly selected score lies between 500 and 700 is 0.4772.

m a t h w a y. c o m

step-by-step explanation: