Transition
Transition
Transition
due 11-20-23 @10 am
Please see attachment for instructions.
Each student is expected to post at least twice. For your original post, please select one probability problem to work on. Reply to at least one class member’s post. Replies should be meaningful. Avoid responses such as “Great job”, “I agree with you”, etc., that do not add content.
SAMPLE SPACES
1. A Girl Named Florida
Here’s a three-part puzzler. For each part list the sample space. Listing the sample space will make the probability clear. You can denote Boy as B, Girl as G, and Florida as F when listing a sample space. For example, the sample space of the birth events boy-girl and girl-girl is {BG, GG}.
2. A Game Show
Let’s say you are a contestant on a game show. The host of the show presents you with a choice of 4 doors, which we will call doors 1, 2, 3, and 4. You do not know what is behind each door, but you do know that a new Cadillac Escalade and 3 old cars are randomly placed behind the doors. The host knows where the Escalade is. The game is played out is as follows. The host lets you choose a door. The host opens a door with an old car and asks you whether or not you want to change your door choice.
PROBABILITY
3. A Birthday Problem
There are 30 people in this class.
a) What is the probability that at least 2 of the people in the class share the same birthday?
b) If P(at least 2 of the people in the class share the same birthday) = 25%, how many people are in the class?
4. Addition Rules and Real Estate
You are a realtor. In your area there are 50 starter homes, 75 mid value homes without solar power, 15 mid value homes with solar power, 35 high value homes without solar power, and 25 high value homes with solar power. If a home is picked randomly to show
a) What is the probability it has solar power and it is a mid-value home?
b) What is the probability it has solar power or it is a mid-value home?
c) What is the probability it has not solar power and not a mid-value home?
CONDITIONAL PROBABILITY
5. Disease Testing, True and False Positives
0.05% of adults over the age of 60 have lung cancer, 95% of adults who have lung cancer will test positive (the accuracy of the test for people with the disease), and 90% percent of adults that do NOT have lung cancer will test negative (accuracy of the test for people without the disease).
a) Compute the probability of having disease and testing positive (true positive)
b) Compute the probability of not having disease and testing positive (false positive).
c) Compute P(positive test).
d) Compute P(disease | test positive).
e) If somebody tests positive for that disease, is there a 99% chance that they have the disease?
6. Real Estate
You are a realtor. In your area there are 50 starter homes, 75 mid value homes without solar power, 15 mid value homes with solar power, 35 high value homes without solar power, and 25 high value homes with solar power. If a home is picked randomly to show,
Using the data, make your own conditional probability problem.
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Fluid and electrolyte case study
Home-Based Telemental Health Care Act of 2023
The role of policy in health is inseparable. Politics significantly dictate an array of interventions in healthcare. The government incorporates the population’s power bestowed upon them to produce policies that influence public health interventions to safeguard a community’s health and welfare. Most recently, on 30th March 2023, the Senate introduced the Home-Based Telemental Health Care Act of 2023 (Congress.gov, n.d.). The bill aims to protect and improve the mental wellness of underserved individuals in the suburban regions who depend on income from farming, fishing, and forestry. This bill establishes grants to support the development of mental health and substance use services within rural regions. According to Mongelli et al. (2020), underserved individuals in the United States face various challenges to access mental health services, including social stigma, unavailable mental health units and services, inaccessible hospitals, unaffordable services, lack of medical insurance, and delays in treatment. Mental health and wellness are a basic need and a public health concern globally. Therefore, necessary efforts toward ensuring healthcare for all and reducing disparities in access are crucial.
The significant social determinants of health impacting the populations in the proposed Home-Based Telemental Health Care Act bill are economic instability, lack of education, lack of support system, and inefficient healthcare services. People living in rural areas are likely to have inadequate healthcare services owing to the limited number of clinicians willing to provide services to the region and low socioeconomic status (Coombs et al., 2021). Thus, in the event of sickness, they are predisposed to delays in accessing health services due to limited funds, lack of health insurance, long travel costs, and hours in search of appropriate care facilities.
Telehealth adoption in healthcare is extensive to narrow the barriers to access. Research by McBain et al. (2023) found that telehealth significantly improved access to specialized health services and mental health treatment in the United States during the COVID-19 pandemic, where in-person services were unavailable. Results in this study demonstrate that the intergration of telehealth to promote rural healthcare areas can result in a marked expansion of mental health and substance use services, bypassing the avoidable travel and expensive treatment costs and time wastage. Hence, supporting the Home-Based Telemental Health Care Act will significantly impact the health outcomes of individuals living in rural areas with blue-collar jobs.
Respond to this by either supporting or respectfully challenging this explanation on whether there is an evidence base to support the proposed health policy they described.
DISCUSSION
TRANSLATION OF EVIDENCE AND APPLICATION
see below
