Ch. 3 - Probability

Larson - Elementary Statistics: Picturing the World 8th Edition

Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Non è quello che usi tu?Cambia libro di testo

Larson 8th Edition

Ch. 3 - Probability

Problema 3.1.80

Capitolo 3, Problema 3.1.80

80. Unusual Events Can any of the events in Exercises 75-78 be considered unusual? Explain.

Guida verificata passo dopo passo

Step 1: Understand the concept of 'unusual events' in statistics. An event is considered unusual if its probability is very low, typically less than 0.05 (5%). This threshold helps identify events that are rare or unexpected.

Step 2: Review the events described in Exercises 75-78. Carefully examine the probabilities associated with each event. If the probabilities are not provided, calculate them using the appropriate formulas or data given in the exercises.

Step 3: Compare the calculated probabilities of each event to the threshold of 0.05. If the probability of an event is less than 0.05, it can be classified as unusual.

Step 4: Provide reasoning for why each event is or is not unusual based on the comparison. For example, if an event has a probability of 0.03, it is unusual because it falls below the threshold. Conversely, if an event has a probability of 0.10, it is not unusual.

Step 5: Summarize your findings for all events in Exercises 75-78, clearly stating which events are unusual and providing explanations for each based on their probabilities.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. An event with a probability close to 0 is unlikely to happen, while an event with a probability close to 1 is very likely. Understanding probability is essential for determining whether an event is unusual, as it allows us to quantify how often we expect an event to occur in a given context.

Video consigliato:

Percorso guidato

5:37

Introduction to Probability

Unusual Events

In statistics, an event is often considered unusual if its probability of occurrence is significantly low, typically defined as less than 5%. This threshold helps to identify events that deviate from what is expected based on historical data or theoretical models. Recognizing unusual events is crucial for making informed decisions and understanding the implications of rare occurrences.

Video consigliato:

Percorso guidato

05:54

Probability of Multiple Independent Events

Statistical Significance

Statistical significance refers to the likelihood that a relationship or effect observed in data is not due to random chance. It is often assessed using p-values, where a p-value less than 0.05 indicates that the results are statistically significant. This concept is important when evaluating whether the events in Exercises 75-78 can be deemed unusual, as it provides a framework for interpreting the results in a meaningful way.

Video consigliato:

Percorso guidato

05:53

Parameters vs. Statistics

Pratica correlata

Domanda del libro di testo

Using the Multiplication Rule In Exercises 19-32, use the Multiplication Rule.

20. Coin and Die A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.

146

views

Domanda del libro di testo

Matching Probabilities In Exercises 11-16, match the event with its probability.

a. 0.95

b. 0.005

c. 0.25

d. 0

e. 0.375

f. 0.5

16. You toss a coin four times. What is the probability of tossing tails exactly half of the time?

135

views

Domanda del libro di testo

Warehouse In Exercises 51-54, a warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be

interviewed about the work environment.

Find the probability of choosing four third-shift workers.

125

views

Domanda del libro di testo

In Exercises 7-14, perform the indicated calculation.

12. (10C7)/(14C7)

132

views

Domanda del libro di testo

29. Explain, in your own words, why in the Addition Rule for P(A or B or C), P(A and B and C) is added at the end of the formula.

292