Assume the random variable x is normally distributed with mean mu=88 and standard deviation sigma = 4. Find the indicated probability’s p (x < 83) Assume the random variable x is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Find the indicated probability. P (x > 39) Assume the random variable x is normally distributed with mean muequals90 and standard deviation sigmaequals4. Find the indicated probability. P(80
Added by Brandon P.
Step 1
- Calculate the z-score: \[ z = \frac{x - \mu}{\sigma} = \frac{83 - 88}{4} = \frac{-5}{4} = -1.25 \] - Use the standard normal distribution table or a calculator to find \( P(Z < -1.25) \). - From the z-table, \( P(Z < -1.25) \approx 0.1056 \). So, \( P(x < Show more…
Show all steps
Close
Your feedback will help us improve your experience
Pritesh Ranjan and 55 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 the random variable x is normally distributed with mean μ = 82 and standard deviation σ = 4. Find the indicated probability. P(71 < x < 80)
Pritesh R.
Assume the random variable x is normally distributed with mean 90 and standard deviation σ = 4. Find the indicated probability. P(x < 84) P(x < 84) = (Round to four decimal places as needed.)
Assume that random variable x is normally distributed. The mean is μ = 60.0 and the standard deviation is σ = 4.0. Find the probability that x is less than 53.0. Assume that random variable x is normally distributed. The mean is μ= 15.2 and the standard deviation is σ = 0.9. Find the probability that x is greater than 16.1.
Ahmet Y.
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