1. Suppose that you want to program an AI agent to navigate out of a maze. The agent starts at the maze’s center facing the north direction. The agent can turn to face the south, north, east, or west. The agent can be directed to move forward for a certain distance but will stop before hitting a wall.

a) Formulate this as a search problem defining initial state, goal test, transition function, and cost function.

b) What can you tell about the size of the state space?

c) In maze navigation, it is only necessary to turn at the intersection of two or more corri-dors. Using this observation, reformulate the search problem. What can you say about the size of the state space now?

d) What simplifications or abstractions about the real world, actions, or details did we make in our problem formulation? List three of this simplifications and briefly discuss how realistic they are. For example, we assume that the agent can move as far as it can without battery charging.

The statistics that are used are: x = 10 n = 66 p ̂ = .15 α =.05

State the Claim ____________________________________________________________________ _________________________________________________________________________________

A: H0: ___________________________ H1: ___________________________

The claim is in _____H0 or H1___(circle one). T

his is a LEFT or RIGHT or TWO tail test. (circle one)

B: Test Statistic: Calculate the Test Statistic. Explain how you arrived at your answer. ANS:

TEST STATISTIC IS _____________________________ C: State the: CRITICAL VALUE ______________________ p-value __________________________ Sketch and label the CRITICAL REGION, the CRITICAL VALUE/s, the TEST STATISTIC on the standard normal curve above. D: Decision: Reject the H0 or Fail to reject the H0?_______________________________________ Why: What criteria did you used to make your decision and what is the rationale for your decision? E: Conclusion: Write a conclusion that addresses whether or not the claim was supported or not. Give a rationale for your statement based on D.

It is estimated that 27% of births at a particular hospital are by caesarian section. Suppose a sample of 5 births is taken from this hospital.

(a). What is the probability that at most 2 births will be by caesarian section in this hospital?



(b). Write the R code to compute the probability in part (a).



(c). What is the mean number of births delivered by caesarian section in this hospital?



(d). What is the standard deviation of the number births delivered by caesarian section in this hospital?

A flat plates surface tempertures are initially at 120 deg C and 60 deg C with one surfaces temperature being lower due to air at 20 deg C flowing over it with a velocity of 2m/s having a heat transfer coefficient of 30 W/m ^2K. The themal conductivities of the sheet metal and air are 35 W/m K. and 0.0262 W/mK. respectively.

Without following the problem solving guide answer the following question providing detaied justifications:

A. What are the modes of heat transfer?

B. Is this a time dependent or steady state problem? Why or why not?

C. The themal conductivities in the sheet metal and air are significantly different. Recalling the definition of thermal conductivity, What can you conclude about the materials abilitys to transfer heat?

D. How would the heat transfer in the system differ if the cooling was through natural convection? Explain your reasoning.

E. Draw a schematic of the energy flow?

We want to investigate the proportion of the adult American who state that the amount of tax (federal, state, property, sales, and so on) they pay is too high. In a survey of 1200 adult Americans, 640 state that the amount of tax they pay is too high. To finish the investigation do just one of the following.

(a) Use a 95% confidence interval to determine the proportion of Americans that state the amount of tax they pay is too high and determine if this percentage is more than 50% or not.

(b) Use hypothesis testing at the significance level α = 0.025 to see if the common belief that most Americans state that the amount of tax they pay is too high can be contradicted.

please show your work

Explain what global health is and how it relates to population health.

Reflect on how they apply to your current or future profession as a Patient care assistant.

In relation to the patient or client, what is your role as a healthcare professional?

What do you know and understand about advocacy?

What opportunities for advocacy do you see in your current or future career?

Using the words below, explain this questions in a paragraph. According to the field of biology, what explains the variety of reproductive and survival strategies that have appeared and disappeared from living organisms (past and present) since the origin of life on earth? - Modern evolutionary synthesis - Natural selection - Adaptation - Fitness - Allele frequency - Mutation - Sexual selection - Gene pool - Scientific theory - Resources - Red Queen hypothesis - Non-random mating

Goals: Investigate the financial considerations of acquiring a car and make a decision on how to acquire the car based purely on those financial considerations. Instructions: Imagine that you have decided to acquire your dream car. You now have to decide whether to buy or lease that car. Write a report specifying the differences between leasing and buying your dream car and make a decision on whether to buy or lease. In writing your report you must do the following:

Gather the terms under which you would lease the car, such as the necessary down payment amount and monthly payment amount.

Calculate the total costs when leasing the car.

Gather the terms under which you would buy the car, such as the necessary down payment amount and monthly payment amount.

Calculate the total costs when buying the car.

Include the benefits, drawbacks, and costs involved with each of the two financial options.

Consider what measures you could use to make a decision.

Decide on a specific measure to use as the basis of your decision and explain why you chose that measure.

State your decision.