Saturday

September 20, 2014

September 20, 2014

Posted by **Mattie** on Wednesday, May 25, 2011 at 9:47am.

What is the probability?

- STATS -
**drwls**, Wednesday, May 25, 2011 at 10:20amYour question is worded in a confusing way. It sounds like the next 20 cars IN A ROW would have to be red. That would be a very low probability, (0.28)^20 = 8.8*10^-12, and the 30 cars seen after that would not matter.

Don't you mean that you want the probability that exactly 20 of the next 50 will be red?

That probability is

P(20) = (0.28)^20*(0.72)^30^50!/[30!*20!]

= 0.0217

The most likely number of red cars out of 50 would be 14. That probability is

P(14) = (0.28)^14*(0.72)^36* 50!/[14!*36!] = 0.1248

=

**Answer this Question**

**Related Questions**

Math - The underside of a bridge has a shape of a parabolic arch. It has a ...

physics - James Bond is trying to jump from a bridge and land on the first car ...

Physics - James Bond is trying to jump from a bridge and land on the first car ...

physics - a nasty little boy tries to drop a water balloon from the top of a 20 ...

Art - Could you please check these few examples? Thank you very much, ...

phyiscs - A bolt is dropped from a bridge under construction, falling 81 m to ...

bus stats - John parks cars at a hotel. On the average, 6.0 cars will arrive in ...

calculus - a bridge is 10 m. above a canal. A motorboat going 3 m/sec passes ...

8th grade physics/science - assume you are standing on a dock and watching the ...

physics - A bridge is ten meters above a canal and A motor boat going 3minutes ...