A poll is given, showing 70% are in favor of a new building project. If 6 people are chosen at random, what is the probability that exactly 2 of them favor the new building project?
Added by Dennis F.
Step 1
This is a combination problem, which can be solved using the formula for combinations: C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and "!" denotes factorial. So, C(6, 2) = 6! / [2!(6-2)!] = 15. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Jainendra Kumar and 90 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
A poll is given, showing that 60% are in favor of a new building project. If 6 people are chosen at random, what is the probability that exactly 2 of them favor the new building project?
Victor S.
A poll is given, showing 40% are in favor of a new building project. If 7 people are chosen at random, what is the probability that exactly 6 of them favor the new building project?
Hoan N.
If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability that a random sample of 100 people will contain (a) at least 50 who are in favor of the proposition; (b) between 60 and 70 inclusive who are in favor; (c) fewer than 75 in favor.
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