3.24: The data in the accompanying table are from the Organization for Economic Co-operation and Development (data.oecd.org/eduatt/population-with-tertiary-education.htm, retrieved February 18, 2018). Entries in the table are the percentage of 25- to 34-year-old people who have completed a 4-year college degree for 27 countries in 2016. Country Percentage of people age 25 to 34 with 4-year degree Country Percentage of people age 25 to 34 with 4-year degree Australia 49.3 Italy 25.6 Austria 39.7 Japan 60.1 Canada 60.6 Mexico 21.8 Colombia 28.1 New Zealand 43.4 Costa Rica 28.9 Norway 48.6 Czech Republic 32.6 Poland 43.5 Denmark 45.9 Portugal 35.0 Finland 41.1 Spain 41.0 France 44.0 Sweden 47,.2 Germany 30.5 Switzerland 48.8 Greece 41.0 Turkey 30.5 Hungary 30.4 United Kingdom 52.0 Iceland 43.3 United States 47.5 Israel 47.4 Construct a histogram of these data using the class intervals 20 to < 30, 30 to < 40, ..., 60 to < 70. (Hint: See Example 3.16.) Write a few sentences describing the shape, center, and variability of the distribution.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
3.24: The data in the accompanying table are from the Organization for Economic Co-operation and Development (data.oecd.org/eduatt/population-with-tertiary-education.htm, retrieved February 18, 2018). Entries in the table are the percentage of 25- to 34-year-old people who have completed a 4-year college degree for 27 countries in 2016.
|
Country |
Percentage of people age 25 to 34 with 4-year degree |
Country |
Percentage of people age 25 to 34 with 4-year degree |
|
Australia |
49.3 |
Italy |
25.6 |
|
Austria |
39.7 |
Japan |
60.1 |
|
Canada |
60.6 |
Mexico |
21.8 |
|
Colombia |
28.1 |
New Zealand |
43.4 |
|
Costa Rica |
28.9 |
Norway |
48.6 |
|
Czech Republic |
32.6 |
Poland |
43.5 |
|
Denmark |
45.9 |
Portugal |
35.0 |
|
Finland |
41.1 |
Spain |
41.0 |
|
France |
44.0 |
Sweden |
47,.2 |
|
Germany |
30.5 |
Switzerland |
48.8 |
|
Greece |
41.0 |
Turkey |
30.5 |
|
Hungary |
30.4 |
United Kingdom |
52.0 |
|
Iceland |
43.3 |
United States |
47.5 |
|
Israel |
47.4 |
|
- Construct a histogram of these data using the class intervals 20 to < 30, 30 to < 40, ..., 60 to
< 70. (Hint: See Example 3.16.)
- Write a few sentences describing the shape, center, and variability of the distribution.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
