This preview shows pages 1–2. Sign up to view the full content.
NAME:______Cam Melton______________ CM:__1209_________
MA 223, Engineering Statistics
Winter 200708; 15 points possible
Due date:
Friday
, January 18
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
denote the event that a car turns left,
denote the event that a car
turns right, and
denote the event that a car goes straight.
The behaviour of three randomly selected cars
driving onto the RoseHulman campus is recorded.
(a)
[0.5 pts]
How many events comprise the sample space for this experiment?
Three
(b)
[0.5 pts]
Let
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
.
[L+R+S]
(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
occurs.
.5 * .4 * .1 =
.02
(d)
[1 pt]
Under the same assumptions as those made in part (c), what is the probability that all three
randomly selected cars go the same way?
(
.5 * .5 * .5) + (.4 * .4 * .4) + (.1 * .1 * .1) = .125 + .064 + .001 =
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 DeVasher
 Statistics

Click to edit the document details