A firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry? TV Viewers: % of Viewers, by Major Sport Category Item Ages 18-34 Ages 35+ eSports 50.6 86.3 Mixed Martial Arts 30 80.7 MLS 27.3 79.7 High School Football n/a 79.4 Minor League Hockey 24.6 78.8 Soccer (non-USA) 23.9 78.7 NBA 23.9 77.5 Running n/a 76.9 Minor League Baseball 21.7 76.7 NHL 20.1 73.9 NFL 20.1 70.5 NASCAR 19.3 n/a MLB 19.1 68.1 Tennis 18.7 68.5 College Basketball 18.2 n/a IndyCar 18 62.7 College Football 17.9 62.5 Golf 11.9 32
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry?
|
TV Viewers: % of Viewers, by Major Sport Category |
|
|
|
Item |
Ages 18-34 |
Ages 35+ |
|
eSports |
50.6 |
86.3 |
|
Mixed Martial Arts |
30 |
80.7 |
|
MLS |
27.3 |
79.7 |
|
High School Football |
n/a |
79.4 |
|
Minor League Hockey |
24.6 |
78.8 |
|
Soccer (non-USA) |
23.9 |
78.7 |
|
NBA |
23.9 |
77.5 |
|
Running |
n/a |
76.9 |
|
Minor League Baseball |
21.7 |
76.7 |
|
NHL |
20.1 |
73.9 |
|
NFL |
20.1 |
70.5 |
|
NASCAR |
19.3 |
n/a |
|
MLB |
19.1 |
68.1 |
|
Tennis |
18.7 |
68.5 |
|
College Basketball |
18.2 |
n/a |
|
IndyCar |
18 |
62.7 |
|
College Football |
17.9 |
62.5 |
|
Golf |
11.9 |
32 |
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