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 (i) a black or white car manufactured in Korea. (ii) not manufactured in Japan. (ii) P(M̅) = 1 – P(M) = 1 – = = 0.19 iii) is a white car, given that it was manufactured in America. (iv) Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. (v) Are the events ‘Korea’ and ‘Black’ Independent? Justify your response
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
(i) a black or white car manufactured in Korea.
(ii) not manufactured in Japan.
(ii) P(M̅) = 1 – P(M) = 1 – = = 0.19
iii) is a white car, given that it was manufactured in America.
(iv) Are the
(v) Are the events ‘Korea’ and ‘Black’ Independent? Justify your response
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