The length of a football field is normally distributed with a mean of 100 m and a standard deviation of 3 m. Under what size are the smallest 10% of football fields? Remember to round to 4 decimal places.
Added by Marcus L.
Close
Step 1
We are given that $X$ is normally distributed with a mean $\mu = 100$ m and a standard deviation $\sigma = 3$ m. We want to find the value $x$ such that $P(X < x) = 0.10$. Show more…
Show all steps
Your feedback will help us improve your experience
Christopher Dzorkpata and 95 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
Using the z-score table The length of a football field is normally distributed with a mean of 100 m and a standard deviation of 3 m. Under what size are the smallest 10% of football fields? The smallest 10% of football fields are under____ meters
Christopher D.
American football is played on a 100 -yd-long field, excluding the end zones. How long is the field in meters? (Assume that $1 \mathrm{m}=3.281 \mathrm{ft}$ )
A groundsman paces out a soccer pitch with paces which can be taken to be independent from some distribution with mean m and standard deviation m. The groundsman takes one hundred such paces to mark out the pitch. Provide answers to the following to three decimal places. (a) Estimate the probability that the mean of the 100 paces is greater than m. (b) Estimate the probability that the resulting pitch will be within metres of 100 m
Hoan 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