48. In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table: Number tardy: 0. 1 3. 4 Probability: 0.15 0.25 0.31 0.21 0.08 What is the expected number of tardies (rounded to two decimal places)?
48. In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table: Number tardy: 0. 1 3. 4 Probability: 0.15 0.25 0.31 0.21 0.08 What is the expected number of tardies (rounded to two decimal places)?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
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![**Educational Material on Probability**
**Problem 48: School Tardiness Probability**
In a certain school, the following table displays the probabilities regarding the number of students who are reported tardy:
| Number Tardy | Probability |
|--------------|-------------|
| 0 | 0.15 |
| 1 | 0.25 |
| 2 | 0.31 |
| 3 | 0.21 |
| 4 | 0.08 |
**Question**: What is the expected number of tardies (rounded to two decimal places)?
To calculate the expected number of tardies, use the formula for expected value:
\[ E(X) = \sum [x \cdot P(x)] \]
Where \( x \) is the number of tardies and \( P(x) \) is the probability of \( x \).
**Problem 49: Reader's Digest Sweepstakes Expectation Calculation**
**Question**: Calculate the expectation (to the nearest cent) for the Reader's Digest sweepstakes described. Assume there are 197,000,000 entries.
The problem involves understanding probability and calculating expectations based on given conditions.
**Note**: Ensure to carefully apply probability and mathematical operations to solve and interpret results accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3f2354f-a115-49a1-b488-075e3b9de759%2F5739edb6-6032-4f2c-8368-a8b59f21fea6%2Fnuywc5p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Material on Probability**
**Problem 48: School Tardiness Probability**
In a certain school, the following table displays the probabilities regarding the number of students who are reported tardy:
| Number Tardy | Probability |
|--------------|-------------|
| 0 | 0.15 |
| 1 | 0.25 |
| 2 | 0.31 |
| 3 | 0.21 |
| 4 | 0.08 |
**Question**: What is the expected number of tardies (rounded to two decimal places)?
To calculate the expected number of tardies, use the formula for expected value:
\[ E(X) = \sum [x \cdot P(x)] \]
Where \( x \) is the number of tardies and \( P(x) \) is the probability of \( x \).
**Problem 49: Reader's Digest Sweepstakes Expectation Calculation**
**Question**: Calculate the expectation (to the nearest cent) for the Reader's Digest sweepstakes described. Assume there are 197,000,000 entries.
The problem involves understanding probability and calculating expectations based on given conditions.
**Note**: Ensure to carefully apply probability and mathematical operations to solve and interpret results accurately.
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9780134753119
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ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON