Question In the spring, a biologist and her team placed radio collars on 34 grizzly bears living in Southwestern Alberta in an attempt to study their migration habits. In the fall, she and her team return to the area and observe 12 grizzly bears from a helicopter, and count how many of these bears had a radio-collar. Identify the probability model that best models this count. A. Hypergeometric distribution B. Poisson distribution C. Bernoulli distribution D. Normal distribution E. Binomial distribution F. Uniform distribution G. none of the above

Region 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 Pennslyvania 7.67 8.72 9.63 9.9 10.5 11.32 11.79 11.86 11.88 12.28 12.7 13   1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 Virginia 2.06 2.31 2.42 2.68 3.32 3.97 4.65 5.35 6.19 7.08 8 8.63   1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 West Virgina  1.22 1.46 1.73 1.9 2 1.86 1.74 1.95 1.79 1.81 1.85 1.79     Determine the average rate of change for each set of data from 1910 to 2020. What do you notice? Compare and contrast the growth rates for the states. How do you think these growth rates will impact government allocations for each state?Determine an exponential model for the states with the two fastest growth rates. Explain your work. Note: The y-intercept equals the value provided for 1910. Thus, for the year 1910, x = 0.

2 The following equations were estimated using the data in BWGHT: log(bwght) = 4.66 - .0044 cigs +.0093 log(faminc) + .016 parity (.22) 0.0009) (.0059) (.006) + .027 male + .055 white 0.010) (.013) n = 1.388, R2 = .0472 and = log(bwght) = 4.65 - .0052 cigs +.0110 log(faminc) + .017 parity (.38) (.0010) 0.0085) (.006) + .034 male + .045 white - .0030 motheduc + .0032 fatheduc (.011) (.015) (0030) (.0026) n = 1,191, R2 = .0493. The variables are defined as in Example 4.9, but we have added a dummy variable for whether the child is male and a dummy variable indicating whether the child is classified as white. (i) In the first equation, interpret the coefficient on the variable cigs. In particular, what is the effect on birth weight from smoking 10 more cigarettes per day? (ii) How much more is a white child predicted to weigh than a nonwhite child, holding the other factors in the first equation fixed? Is the difference statistically significant? (iii) Comment on the estimated effect and statistical significance of motheduc. (iv) From the given information, why are you unable to compute the F statistic for joint significance of motheduc and fatheduc? What would you have to do to compute the F statistic? (v) What is the estimated effect on birth weight when smoking 20 cigarettes a day?

5 In a study relating college grade point average to time spent in various activities, you distribute a sur- vey to several students. The students are asked how many hours they spend each week in four activi- ties: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student, the sum of hours in the four activities must be 168. (1) In the model GPA = Be + B study + B sleep + B;work + B.leisure + . does it make sense to hold sleep, work, and leisure fixed, while changing study? (ii) Explain why this model violates Assumption MLR.3. 106 PART 1 Regression Analysis with Cross-Sectional Data (iii) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3? Consider the multiple regression model containing three independent variables, under Assumptions MLR.1 through MLR.4: y = Bo + B x1 + Boxe + Byty + u. You are interested in estimating the sum of the parameters on X, and Xz; call this 0,- B. + B.. 0 Show that 8, = B. + B, is an unbiased estimator of 8, (ii) Find Varê) in terms of Var(B).Var(B2), and Corr(B.B.).

Question 6 [10 points] Find all complex numbers z such that z2=-2i, and give your answer in the form a+bi. Use the square root symbol 'V' where needed to give an exact value for your answer. =- z= ???

A Fire and Security Alarm Monitoring System A large building may require an automated alarm system which monitors and controls all fire and security alarms in the building. Normally, the building is divided into zones and a number of alarms are associated with each zone. Alarms alert a central manned control area who may pass these on to the emergency services or may respond personally. Factors which have to be taken into account in building such a system are: - If the control area is unmanned and an alarm is activated this alarm should not be ignored if it is potentially serious. Emergency services should be automatically called. - Some but not all parts of the building may be equipped with sprinkler systems or systems to shut down electrical equipment. These should be activated if a fire alarm is confirmed. They should not be activated if there are people in the same room. - The building may be equipped with direction indicators which illuminate the route to the nearest exit. These should be activated when a fire alarm is confirmed. At the same time, an audible signal should sound alerting occupiers to leave the building. - A security alarm may cause some internal doors to be locked automatically. It should be possible to isolate complete zones by automatic door locking. - False alarms are common and it might be normal practice to have an alarm confirmed before alerting emergency services. There are different ways of confirming an alarm. In the case of a fire alarm, it may be confirmed by multiple sensors detecting a problem. Work: Design and implement the corresponding database and submit a report according to the following template. Table of contents of the final Report: Chapter 1 – Case description (in which you put the full details of the case by including all business rules) - Chapter 2 – Design models o Entity-Relationship Diagram (including all your assumptions) o Logical Schema (including at least 15 tables) - Chapter 3 – SQL queries (20 advanced SQL queries) and their corresponding output snapshots - Chapter 4 – Conclusions and Future work * we can use any dbms platform *

Learning Goal: To use the force method of analysis to calculate the reaction forces for a statically indeterminate axially loaded member. The steel member shown below has a diameter of 85 mm modulus of elasticity of E = 200 GPa and is fixed at A and B. The support at A is rigid, but the support at B can be considered rigid only if the reaction force at B does not exceed 150 kN. The lengths are LAB = 6.5 m and LAC = 2.4 m. Part A-Determine the maximum load What is the maximum load. P. that can be applied such that the reaction at B does not exceed 150 kN ? Express your answer to three significant figures in kN. View Available Hint(s) ΟΙ ΑΣΦ! vec ? P= KN Submit Part B - Determine the reaction at A When the applied load has the maximum design value of P = 408 kN the reaction at Bis 150 kN. What is the reaction force at support A? Express your answer to three significant figures in kN. View Available Hint(s) EVO AEQU vec ? Fi- KN Submit