Domanda del libro di testo
Identifying Probability Distributions In Exercises 27 and 28, determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why.
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Ch. 4 - Discrete Probability Distributions
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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TOC.tableOfContents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
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Capitolo 4, Problema 4.1.26
Determining a Missing Probability In Exercises 25 and 26, determine the missing probability for the probability distribution.
Guida verificata passo dopo passo1
Step 1: Recall that for a probability distribution, the sum of all probabilities must equal 1. This is a fundamental property of probability distributions.
Step 2: Write the equation for the sum of probabilities: P(0) + P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1.
Step 3: Substitute the known probabilities into the equation: 0.05 + P(1) + 0.23 + 0.21 + 0.17 + 0.11 + 0.08 = 1.
Step 4: Combine all the known probabilities: 0.05 + 0.23 + 0.21 + 0.17 + 0.11 + 0.08 = 0.85.
Step 5: Solve for the missing probability P(1) by subtracting the sum of the known probabilities from 1: P(1) = 1 - 0.85.
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Probability Distribution
A probability distribution describes how the probabilities are distributed over the values of a random variable. It provides a complete description of the likelihood of each possible outcome. In this case, the distribution is discrete, as it lists specific values of x and their corresponding probabilities.
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06:39
Calculating Probabilities in a Binomial Distribution
Sum of Probabilities
In any probability distribution, the sum of all probabilities must equal 1. This principle is fundamental in determining missing probabilities, as it allows us to calculate the unknown value by subtracting the sum of known probabilities from 1. This ensures that the distribution is valid and adheres to the rules of probability.
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5:37Introduction to Probability
Missing Probability Calculation
To find a missing probability in a distribution, you can use the equation derived from the sum of probabilities. By adding the known probabilities and subtracting this sum from 1, you can isolate and determine the unknown probability. This method is essential for completing the probability distribution accurately.
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07:09Probability From Given Z-Scores - TI-84 (CE) Calculator
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Domanda del libro di testo
Constructing and Graphing Binomial Distributions In Exercises 27–30, (a) construct a binomial distribution, (b) graph the binomial distribution using a histogram and describe its shape, and (c) identify any values of the random variable x that you would consider unusual. Explain your reasoning.
Workplace Cleanliness Fifty-seven percent of employees judge their peers by the cleanliness of their workspaces. You randomly select 10 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number who judge their peers by the cleanliness of their workspaces. (Source: Adecco)
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Domanda del libro di testo
Finding the Mean, Variance, and Standard Deviation In Exercises 29–34, (a) find the mean, variance, and standard deviation of the probability distribution, and (b) interpret the results.
Dogs The number of dogs per household in a neighborhood
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Domanda del libro di testo
Discrete Variables and Continuous Variables In Exercises 13–18, determine whether the random variable x is discrete or continuous. Explain.
Let x represent the populations of the 50 U.S. states.
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Domanda del libro di testo
Graphical Analysis In Exercises 3–5, the histogram represents a binomial distribution with five trials. Match the histogram with the appropriate probability of success p. Explain your reasoning.
a. p = 0.25
b. p = 0.50
c. p = 0.75
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Domanda del libro di testo
"Using a Distribution to Find Probabilities In Exercises 11–26, find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities.
Hurricanes The mean number of hurricanes to strike the U.S. mainland per year from 1851 through 2020 was about 1.8. Find the probability that the number of hurricanes striking the U.S. mainland in any given year from 1851 through 2020 is (a) exactly one, (b) at most one, and (c) more than one. (Source: National Oceanic & Atmospheric Administration)"
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