Assignment 12 solutions
339.
0,
x 2
0.2 2 x 1
0.6 1 x 0
0.7
0 x 1
0.9 1 x 2
1
2x
F (x)
a) P(X 1.25) = 0.9
b) P(X 2.2) = 1
c) P(1.1 < X 1) = 0.7
d) P(X > 0) = 1 P(X 0) = 0.3
340.
0
x 1
7 1 x 2
4
F(x)
6
7 2 x 3
1
3 x
a)
b)
c)
d)
P(X < 1.5) = 4
Assignment 11 solution
214. An order for an automobile can specify either an automatic or a
standard transmission, either with or without air conditioning, and with
any one of the four colors red, blue, black, or white. Describe the set of
possible orde
513.
Determine c such that
3 3
3
2
c xydxdy c x2
y
0 0
0
3
dy c(4.5
0
y2
2
3
0
) 81 c.
4
Therefore, c = 4/81.
a)
3 2
P ( X 2, Y 3)
4
81
3
xydxdy
4
81
0 0
4
(2) ydy 81 (2)( 9 ) 0.4444
2
0
b) P(X < 2.5) = P(X < 2.5, Y < 3) because the range of Y is from
426.
Now,
f ( x)
e
x /10
for 0 < x and
10
x
x
FX ( x) 1/10 e x /10 dx e x /10 1 e x /10
0
0
for 0 < x.
Then,
0, x 0
FX ( x )
1 e
x /10
, x0
a) P(X<60) = F(60) =1  e6 = 1  0.002479 = 0.9975
b)
30
1/10 e x /10 dx e1.5 e3 =0.173343
15
c) P(X1>40)+
Statistical Tools for Engineers
Spring 2016
Colisted as CHE 426 and CAE 523
COURSE OBJECTIVES

Design tests that make it possible to efficiently and effectively collect data;
Understand how to obtain information from existing data;
Make meaningful predi