In town A,2% of the population are found to have a particular type of rare disease. Use normal distribution as an approximation to estimate the probability of finding more than 25 people with this disease in a random sample of 1000 people
Added by Damon H.
Step 1
Given: n = 1000 p = 0.02 q = 1 - p = 0.98 Mean (μ) = n * p = 1000 * 0.02 = 20 Standard Deviation (σ) = √(n * p * q) = √(1000 * 0.02 * 0.98) = √19.6 ≈ 4.4272 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Suman K and 94 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
About 2% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 1000.
Sanchit J.
On the average, only 1 person in 1000 has a particular rare blood type. Find the approximate probability that, in a city of 10,000 people, no one has this blood type. (Give the probability in the form of a decimal number with 8 decimals (example: 0.123)! )
Robin C.
The number of people living $x$ mi from the center of town is given by $P(x)=50,000\left(1-e^{-0.01 x^{2}}\right) \quad(0 < x < 25)$ Use differentials to estimate the number of people living between 10 and $10.1 \mathrm{mi}$ from the center of town.
Exponential and Logarithmic Functions
Differentiation of Exponential Functions
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