b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver White Korea 33 34 35 Jaрan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is (i) (ii) (ii) (iv) (v) a black or white car manufactured in Korea. not manufactured in Japan. is a white car, given that it was manufactured in America Are the events 'Korea' and 'Black’ Mutually Exclusive? Justify your response. Are the events 'Korea' and 'Black’ Independent? Justify your response

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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  1.  For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table.

 

Black

Silver

White

Korea

33

34

35

Japan

23

9

24

America

16

25

34

Germany

19

16

32

One car is selected at random from this group. Find the probability that the selected car is

  • a black or white car manufactured in Korea.
  • not manufactured in Japan.
  • is a white car, given that it was manufactured in America.
  • Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response.
  • Are the events ‘Korea’ and ‘Black’ Independent? Justify your response
b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are
shown in the table.
Black
Silver
White
Korea
33
34
35
Japan
23
9
24
America
16
25
34
Germany
19
16
32
One car is selected at random from this group. Find the probability that the selected car is
a black or white car manufactured in Korea.
not manufactured in Japan.
(ii)
(iii)
(iv)
(v)
is a white car, given that it was manufactured in America
Are the events 'Korea' and 'Black’ Mutually Exclusive? Justify your response.
Are the events 'Korea' and Black’ Independent? Justify your response
Transcribed Image Text:b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is a black or white car manufactured in Korea. not manufactured in Japan. (ii) (iii) (iv) (v) is a white car, given that it was manufactured in America Are the events 'Korea' and 'Black’ Mutually Exclusive? Justify your response. Are the events 'Korea' and Black’ Independent? Justify your response
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