KöMaL - Középiskolai Matematikai és Fizikai Lapok
Sign In
Sign Up
 Magyar
Information
Contest
Journal
Articles

 

Problem C. 914. (October 2007)

C. 914. According to the trainer of a football team, the probability of a player to score a goal with a penalty kick is 95%. What is the probability that exactly three misses the goal out of five players?

(5 pont)

Deadline expired on 15 November 2007.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás:

p=\binom53\cdot(1-0,95)^3\cdot0,95^{5-3}=
10\cdot0,05^3\cdot0,95^2\approx0,0011.


Statistics:

384 students sent a solution.
5 points:200 students.
4 points:35 students.
3 points:76 students.
2 points:15 students.
1 point:14 students.
0 point:32 students.
Unfair, not evaluated:12 solutions.

Our web pages are supported by:   Ericsson   Cognex   Emberi Erőforrás Támogatáskezelő   Emberi Erőforrások Minisztériuma   Nemzeti Tehetség Program    
MTA Energiatudományi Kutatóközpont   MTA Wigner Fizikai Kutatóközpont     Nemzeti
Kulturális Alap   ELTE   Morgan Stanley