Assume the monthly rainfall in a certain state is normally distributed with a mean of 2.85 inches and a standard deviation of .2 inches: a) probability that in any given month there is between 2.7 and 2.9 inches of rainfall b) probability that in any given month there is more than 2.9 inches of rainfall
Added by Alejandro M.
Step 1
7 and 2.9 inches of rainfall, we need to find the area under the normal distribution curve between these two values. We can use a standard normal distribution table or a calculator to find the corresponding z-scores for these values: z1 = (2.7 - 2.85) / 0.2 = Show more…
Show all steps
Close
Your feedback will help us improve your experience
Anna D. and 99 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
Kari H.
Suppose the yearly rainfall totals for a city in northern California follow a normal distribution, with a mean of 18 inches and a standard deviation of 6 inches. For a randomly selected year, what is the probability that total rainfall will be in each of the following intervals? Less than 10 inches. Greater than 30 inches. Between 15 and 21 inches. Greater than 35 inches
David 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