Question
SAT test scores are normally distributed with a mean of 500 and a standard deviation of 100 . Find the probability that a randomly chosen test-taker will score 650 or higher. HINT [See Example 3.]
Step 1
The Z-score is a measure of how many standard deviations an element is from the mean. We can use the formula: \[ Z = \frac{X - \mu}{\sigma} \] where \(X\) is the score, \(\mu\) is the mean, and \(\sigma\) is the standard deviation. Show more…
Show all steps
Your feedback will help us improve your experience
Tyler Moulton and 89 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
SAT test scores are normally distributed with a mean of 500 and a standard deviation of 100 . Find the probability that a randomly chosen test-taker will score between 450 and $550 .$ HINT [See Example 3.]
Random Variables and Statistics
Normal Distributions
SAT Scores SAT test scores are normally distributed with a mean of 500 and a standard deviation of 100 . Find the probability that a randomly chosen test-taker will score 650 or higher.
SAT Scores SAT test scores are normally distributed with a mean of 500 and a standard deviation of $100 .$ Find the probability that a randomly chosen test-taker will score between 450 and $550 .$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD