Homework Set #4
NAME:____________Rebecca Anderson_____ CM:_____408________
MA 223, Engineering Statistics
Spring 2008; 15 points possible
Due date:
Tuesday
, April 15
at the
BEGINNING of class
.
You may work together on thinking through these problems, but what you turn in must be your own individual
write up and work.
Please show as much work as possible.
It’s much easier to give partial credit when the
work is all available.
_________________________________________________________________________________________
1.
An individual driving onto the RoseHulman campus via the main entrance must make a decision; he/she
must either turn left toward the dorms, turn right toward Myers and Moench Halls, or go straight into the
roundabout in front of Hadley Hall.
Let
L
denote the event that a car turns left,
R
denote the event that a car
turns right, and
S
denote the event that a car goes straight.
The behaviour of three randomly selected cars
driving onto the RoseHulman campus is recorded.
Assumption: n=3is what is ment
(a)
[0.5 pts]
How many events comprise the sample space for this experiment?
Sample space= ( possible outcome 1)*(possible outcome 2)*(possible outcome 3)=3*3*3=27
Sample space is usually labled S but as you took that up for the problem I could not use it.
(b)
[0.5 pts]
Let
A
denote the event that one of the three cars goes left toward the dorms, one goes
right toward Myers Hall, and one goes straight to the Hadley Hall roundabout.
List the set of outcomes
that comprise the event
A
.
A={LRS, LSR, SLR, SRL, RLS, RSL}
(c)
[1 pt]
Assume that it is known from historical data that 50% of the cars entering campus turn left,
40% turn right, and 10% go straight.
Use this information to find the probability that event
A
occurs.
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 Spring '08
 DeVasher
 Statistics, Probability, Probability theory, pts, double play combination

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