Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25.Find the value of x so that the area under the normal curve t the right of x is approximately 5%. State answer in no more than two decimal places.(Hint: X = Z* o + )
Added by Brittany T.
Step 1
Since the total area under the normal curve is 1, the area to the left of x is 1 - 0.05 = 0.95. We will use the z-table or a calculator to find the z-score that corresponds to an area of 0.95 under the standard normal curve. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Sri K 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
Let xbe a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. Find the value of x so that the area under the normal curve to the left of is approximately 0.929.Round your answer to two decimal places.X=
Sri K.
Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. Find the value of x so that the area under the normal curve to the right of x is 0.8023. Round your answer to two decimal places.
Adi S.
Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. Find the value of x so that the area under the normal curve to the right of x is 0.7995. Round your answer to two decimal places. x=
Michael N.
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