Utilizing statistical probability models, you will be able to evaluate and analyze business data under uncertainty conditions. You will also be able to create and test hypotheses and draw conclusions based on samples of data.
Consider the following:
Many business activities generate data that can be thought of as random. An example described in the textbook is the servicing of cars at an oil change shop. Each car entering the shop can be considered an experiment with random outcomes. A variable of interest in this experiment could be the amount of time necessary to service the car. Service time will vary randomly with each car. Often, we can capture the most relevant characteristics of a stochastic process with a simple probability distribution model. We can then analyze the model to make predictions and drive decisions. For instance, we could estimate the number of technicians the oil change shop needs to service demand on a Saturday afternoon.
Respond to the following questions:
What is a random variable?
How would you differentiate a discrete from a continuous random variable?
A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch has to be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications.
Reflect on the following in a minimum of 500 words:
What are the 4 characteristics of a binomial experiment?
Can we use a binomial distribution to model this process?
What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excels =BINOMDIST() function to find the probability)
What is the probability that the batch is incorrectly accepted if only 75% of its laptops actually conform to specifications?
What situations in your organization might this type of analysis apply to? Explain.
Submit your reflection.
Therapeutic Relationships: Explain one ineffective aspect of the counseling approach and why.
Therapeutic Relationships: Explain one ineffective aspect of the counseling approach and why..
A child’s or adolescent’s disruptive behaviors can be challenging for a clinician. Disruptive behaviors can interrupt the counseling process, and they often signify the existence of emotions a child or adolescent is unable to express verbally. Some prospective child and adolescent clinicians may be ill-equipped to manage disruptive behaviors or recognize that the behaviors are symptomatic of an issue or disorder. This lack of knowledge may elicit a nontherapeutic response from a clinician, which can damage the development of a therapeutic relationship. A therapeutic relationship is vital in order to counsel children and adolescents effectively. To prepare for this Assignment, review the Disruptive Behaviors Part Two media and select a particular child or adolescent with a disruptive behavior. Consider one strength and one weakness of the therapeutic relationship with the child or adolescent during the counseling sessions. The Assignment is in two parts: Part One: Ineffective Interventions • Identify the less effective counseling session you selected, and explain why it was less effective.
• Identify and explain the intent of the target goal in the counseling session. • Explain one ineffective aspect of the counseling approach and why. • Explain one misstep the counselor made that inhibited the development of a therapeutic relationship and why. Part Two: Effective Interventions • Identify the more effective counseling session you selected, and explain why it was more effective. • Explain one intended goal the counselor was attempting to accomplish in the counseling approach and why. • Explain one ineffective aspect of the counseling approach and why. • Explain two critical skills the counselor demonstrated that promoted the development of a therapeutic relationship and how those critical skills were used. Support your Assignment with specific references to all resources used in its preparation. You are asked to provide a reference list for all resources, including those in the week’s resources for this course.
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