6. Assume that a random variable is normally distributed with a mean of 1500 and a variance of 324 a. what is the probability that a randomly selected value will be greater than 1550? b. what is the probability that a randomly selected value will be less than 1485? c. what is the probability that a randomly selected value will be either less than 1475 or greater than 1532?
Added by David A.
Step 1
In this case, the variance is 324, so the standard deviation is √324 = 18. Now, we can use the z-score formula to find the z-score for each value: z = (X - μ) / σ where X is the value, μ is the mean, and σ is the standard deviation. a. For a value of 1550: z = Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 71 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
Assume that a random variable is normally distributed with a mean of 1500 and a variance of 324. What is the probability that a randomly selected value will be greater than 1550? What is the probability that a randomly selected value will be less than 1485? What is the probability that a randomly selected value will be between 1475 and 1535?
Steve G.
Philomena M.
A normally distributed population has a mean of 500 and a standard deviation of 36. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 488. b. Determine the probability that a random sample of size 9 selected from the population will have a sample mean greater than or equal to 529. a. P(x < 488) =
T. L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD