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- Collaborative statistics using
- Discrete and continuous random
- Discrete random variables:
This module introduces the Probability Distribution Function (PDF) and its characteristics.
A discrete
probability distribution function has two characteristics:
- Each probability is between 0 and 1, inclusive.
- The sum of the probabilities is 1.
A child psychologist is interested in the number of times a newborn baby's crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let
= the number of times a newborn wakes its mother after midnight. For this example,
= 0, 1, 2, 3, 4, 5.
= probability that
takes on a value
.
|
|
|
| 0 |
|
| 1 |
|
| 2 |
|
| 3 |
|
| 4 |
|
| 5 |
|
takes on the values 0, 1, 2, 3, 4, 5.
This is a discrete
because
- Each
is between 0 and 1, inclusive.
- The sum of the probabilities is 1, that is,
Suppose Nancy has classes
3 days a week. She attends classes 3 days a week
80% of the time,
2 days 15% of the time,
1 day 4% of the time, and
no days 1% of the time. Suppose one week is randomly selected.
Let
= the number of days Nancy ____________________ .
Let
= the number of days Nancy
attends class per week .
Suppose one week is randomly chosen. Construct a probability distribution table (called a
table) like the one in the previous example. The table should have two columns labeled
and
. What does the
column sum to?
|
|
|
| 0 |
0.01 |
| 1 |
0.04 |
| 2 |
0.15 |
| 3 |
0.80 |
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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