A random sample of 210 DHL packages that were shipped abroad last week have been recorded. The packages in the sample have been classified according to their size (small, medium, large) and the location these packages have been shipped from (England, Scotland, Wales). The results are shown in the table below. i. What is the probability that a randomly selected DHL package is of medium size and being shipped from England? ii. What is the probability that a randomly selected DHL package is a large sized package or being shipped from Wales? iii. Given that a randomly selected DHL package is of small size, what is the probability is being shipped from Scotland?
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.
A random sample of 210 DHL packages that were shipped abroad last week have
been recorded. The packages in the sample have been classified according to their
size (small, medium, large) and the location these packages have been shipped
from (England, Scotland, Wales). The results are shown in the table below.
i. What is the
size and being shipped from England?
ii. What is the probability that a randomly selected DHL package is a large
sized package or being shipped from Wales?
iii. Given that a randomly selected DHL package is of small size, what is the
probability is being shipped from Scotland?
![(b)
A random sample of 210 DHL packages that were shipped abroad last week
been recorded. The packages in the sample have been classified according
size (small, medium, large) and the location these packages have been shipp
from (England, Scotland, Wales). The results are shown in the table below.
Size of DHL
Location of shipment
Total
Package
England
Scotland
Wales
Small
23
21
10
54
Medium
44
22
13
79
Large
25
24
28
77
Total
92
67
51
210
What is the probability that a randomly selected DHL package is of m
size and being shipped from England?
What is the probability that a randomly selected DHL package is a la
sized package or being shipped from Wales?
Given that a randomly selected DHL package is of small size, what is
probability is being shipped from Scotland?
i.
ii.
ii.
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