A building contractor requires a roll of roofing felt. There are three suppliers in the area and the probabilities (based on his previous experiences and the location of the suppliers) that the contractor will instruct his vanman to visit a particular supplier are: A: the vanman goes to supplier A, P[A] = 0.6 B: the vanman goes to supplier B, P[B] = 0.2 C: the vanman goes to supplier C, P[C] = 0.2 Each supplier stocks roofing felt produced by two manufacturers, X and Y. Both types of roofing felt sell at the same price and both satisfy the current building regulations. The stock situation at each of the suppliers is: Supplier A B C No. of 'X' rolls 10 30 30 No. of 'Y' rolls 30 20 10 The vanman will be told by his employer which supplier to visit. Which roll type is the vanman most likely to return with?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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A building contractor requires a roll of roofing felt. There are three
suppliers in the area and the probabilities (based on his previous
experiences and the location of the suppliers) that the contractor will
instruct his vanman to visit a particular supplier are:
A: the vanman goes to supplier A, P[A] = 0.6
B: the vanman goes to supplier B, P[B] = 0.2
C: the vanman goes to supplier C, P[C] = 0.2
Each supplier stocks roofing felt produced by two manufacturers, X and
Y. Both types of roofing felt sell at the same price and both satisfy the
current building regulations. The stock situation at each of the suppliers
is:
Supplier
A
B
C
No. of 'X' rolls
10
30
30
No. of 'Y' rolls
30
20
10
The vanman will be told by his employer which supplier to visit.
Which roll type is the vanman most likely to return with?
Transcribed Image Text:A building contractor requires a roll of roofing felt. There are three suppliers in the area and the probabilities (based on his previous experiences and the location of the suppliers) that the contractor will instruct his vanman to visit a particular supplier are: A: the vanman goes to supplier A, P[A] = 0.6 B: the vanman goes to supplier B, P[B] = 0.2 C: the vanman goes to supplier C, P[C] = 0.2 Each supplier stocks roofing felt produced by two manufacturers, X and Y. Both types of roofing felt sell at the same price and both satisfy the current building regulations. The stock situation at each of the suppliers is: Supplier A B C No. of 'X' rolls 10 30 30 No. of 'Y' rolls 30 20 10 The vanman will be told by his employer which supplier to visit. Which roll type is the vanman most likely to return with?
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