Posted by **Zhanise** on Wednesday, June 4, 2014 at 3:15pm.

Trudi Can Either Walk TO School, Or She Can Take The Bus. The Probability Of Her Taking The Bus On Any Given Day Is 0.77.

Assuming That Her Choice Of Transport On Any Given Day Is Independent Of Her Choice Of Transport On Another Day, Find Out The Probability Of Her Taking The Bus To School On Exactly 3 Days, Out Of A Total Of 5 Days.

- Math -
**MathMate**, Wednesday, June 4, 2014 at 6:02pm
p=P(B)=0.77

q=1-P(B)=0.23 = probability of walking

n=5 (days)

r=3 days taking bus

Given independence of choice from day to day, and probability does not vary, then we can use the binomial distribution.

To calculate the probability of taking the bus exactly r days out of n:

P(n,r,p)=nCr*p^r*(1-p)^(n-r)

For 3 days out of 5,

probability = P(5,3,0.77)

which turns out to be about a quarter.

## Answer This Question

## Related Questions

- probability - A survey of 850 students conducted in two schools showed the ...
- math - In jims,5 times as many students take the bus as those who walk. A total ...
- Math - You live 2 3/4 miles from school. In the morning, you walk 1/3 mile ...
- MTH 156 - "Emergency Please Help"!!!!! A bus is scheduled to stop at a certain ...
- Math - In order to get to school carly must first take take a bus 12 miles due ...
- Geometry - I'm really stuck with this question can someone please help me. A bus...
- English - 1. She took the bus to school every day. 2. She rode the bus to school...
- English - Can you please check these sentences please? Thank you. 1) Along the ...
- Math - Ms. Hendricks asked her students how they get to school each day. She ...
- English - Tuesday, December 22nd, Fine, 2015 I got up early in the morning. ...

More Related Questions