Thirty percent of check engine lights turn on after 100,000 miles in a particular model of van. The remainder of vans continue t
o have check engine lights that stay off.
Simulate randomly checking 25 vans, with over 100,000 miles, for check engine lights that turn on using these randomly generated digits. Let the digits 1, 2, and 3 represent a van with check engine light that turn on.
96408 03766 36932 41651 08410
Approximately how many vans will have check engine lights come on?
A. 3
B. 7
C. 8
D. 10
Simulate randomly checking 25 vans, with over 100,000 miles, for check engine lights that turn on using these randomly generated digits. Let the digits 1, 2, and 3 represent a van with check engine light that turn on.
96408 03766 36932 41651 08410
Approximately how many vans will have check engine lights come on?
A. 3
B. 7
C. 8
D. 10
1 answer:
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Not necessarily. 
and 
may be linearly dependent, so that their span forms a subspace of 
that does not contain every vector in .
For example, we could have
and 
. Any vector 
of the form 
, where 
, is impossible to obtain as a linear combination of these and , since
unless
and 
.
For example, we could have
unless
