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A fair 6-sided die is rolled repeatedly.
(a) Find the expected number of rolls needed to get a 1 followed right away by a 2. Hint: Start by conditioning on whether or not the first roll is a 1.
(b) Find the expected number of rolls needed to get two consecutive 1's.
(c) Let an be the expected number of rolls needed to get the same value n times in a row (i.e., to obtain a streak of n consecutive j's for some not-specified-in-advance value of j). Find a recursive formula for an+1 in terms of an. Hint: Divide the time until there are n+1 consecutive appearances of the same valueinto two pieces: the time until there are n consecutive appearances, and the rest.
(d) Find a simple, explicit formula for an for all n ≥ 1. What is a7 (numerically)?
Describe the process of counter-conditioning including a real- life event depicting this process. You must cite and reference any sources in APA style. Otherwise, it is considered plagiarism.
Readings to provide analysis
Provide the genus and species of the two microbes selected, and briefly describe their role in bioremediation.
1. Think about what motivates you to be a leader. Describe the manner in which you apply the key characteristics of leadership to both your work and personal life. 2. Next, state whether or not you think such leadership characteristics are innate or ..
Discuss whether you think OSHA's air contaminant standards are important, and why. Do you think they are adequate to protect employees in the workplace from airborne contaminant hazards? Explain. and
define the three types of questions and give three examples of each type of question.determine the relationship
This mid-term project is worth 20% of your final grade and provides an opportunity for you to learn how to develop elements of a case analysis, such as identifying relevant medical facts and legal influences, stakeholder positions and motivations..
Tom gets an A on his first test in developmental psych and Tara gets a C. A cognitive behaviorist might conclude the following:
The purpose of exercise is to conduct a detailed
Discuss how the frequency of the input signal to an op-amp affects the voltage gain.
People who experience a positive event, get excited, breath harder, have an increase in their heart rate, and then interpret the symptoms as a heart attack, are experiencing what cognitive theorists call
Using the textbooks, the University Library, or other resources, answer each of the following questions in 150 to 200 words. Select a fossil fuel. How is this fossil fuel used? What are the adverse effects on the environment?
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