he rental car agency has 30 cars on the lot. 10 are in great shape, 16 are in good shape, and 4 are in poor shape. Four cars are selected at random to be inspected. Do not simplify your answers. Leave in combinatorics form. What is the probability that: a. Every car selected is in poor shape b. At least two cars selected are in good shape. c. Exactly three cars selected are in great shape. d. Two cars selected are in great shape and two are in good shape. e. One car selected is in good shape but the other 3 selected are in poor
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.
4. The rental car agency has 30 cars on the lot. 10 are in great shape, 16 are in
good shape, and 4 are in poor shape. Four cars are selected at random to be
inspected. Do not simplify your answers. Leave in combinatorics form.
What is the
a. Every car selected is in poor shape
b. At least two cars selected are in good shape.
c. Exactly three cars selected are in great shape.
d. Two cars selected are in great shape and two are in good shape.
e. One car selected is in good shape but the other 3 selected are in poor
Solution:
Given information
Total cars = 30
10 are in great shape
16 are in good shape
and 4 are in poor shape.
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