Chapter 5
5 - 2
Solutions:
1.
a.
Head, Head (H,H)
Head, Tail (H,T)
Tail, Head (T,H)
Tail, Tail (T,T)
b.
x
=
number of heads on two coin tosses
c.
Outcome
Values of
x
(H,H)
2
(H,T)
1
(T,H)
1
(T,T)
0
d.
Discrete.
It may assume 3 values: 0, 1, and 2.
2.
a. Let
x
=
time (in minutes) to assemble the product.
b.
It may assume any positive value:
x
>
0.
c. Continuous
3.
Let
Y
=
position is offered
N
=
position is not offered
a.
S
=
{(Y,Y,Y), (Y,Y,N), (Y,N,Y), (Y,N,N), (N,Y,Y), (N,Y,N), (N,N,Y), (N,N,N)}
b.
Let N
=
number of offers made; N is a discrete random variable.
c.
Experimental Outcome
(Y,Y,Y) (Y,Y,N) (Y,N,Y) (Y,N,N) (N,Y,Y) (N,Y,N) (N,N,Y) (N,N,N)
Value of N
3
2
2
1
2
1
1
0
4.
x
=
0, 1, 2, . . ., 12.
5.
a.
S
=
{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3)}
b.
Experimental Outcome
(1,1)
(1,2)
(1,3)
(2,1)
(2,2)
(2,3)
Number of Steps Required
2
3
4
3
4
5
6.
a. values: 0,1,2,.
..,20
discrete
b. values: 0,1,2,.
..
discrete
c. values: 0,1,2,.
..,50
discrete
d. values: 0
≤
x
≤
8