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.

Answers

Answer 1

Answer: The answer to the problem presented above is .475. Using the empirical rule, the probability that a randomly selected score lies between 500 and 700 (which is 2 standard deviations above the mean) is .475 or 47.5%.

Answer 2

Answer:

Answer:

0.4772

Step-by-step explanation:

Mean = $\mu = 500$

Standard deviation = $\sigma = 100$

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

Formula : $z=(x-\mu)/(\sigma)$

At x = 500

$z=(500-500)/(100)$

$z=(0)/(100)$

At x = 700

$z=(700-500)/(100)$

$z=(200)/(100)$

$z=2$

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.

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Answers

Answer:

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Step-by-step explanation:

Given as :

The price of container of litter = 12.25 dial

The price of cat food = x dial

The total price of items = 19.08 dial including 6% sales tax

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Answers

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