1. In a certain pint in an electrical system, the available fault current is 12 pu. Determine the actual fault current using a base power of 100 MVA and a base voltage of 34.5 kV

2. The positive, negative and zero sequence reactances of a 20 MVA, 13.2 kV synchronous generator are 0.3 pu, 0.2 pu and 0.1 pu respectively. The generator is solidly grounded and is not loaded. A line to ground fault occurs on phase a. Neglect all resistances, determine the fault current.

3. A 15 MVA, 34.5 kV/6.24 kV transformer is connected at an infinite bus. The percent impedance of the transformer is 2.5%. What is the current at the 34.5 kV side for a three phase short at the 6.24 kV side?

Daily high temperatures in degrees Fahrenheit in the city of Lubbock for the last week havebeen as follows: 93, 94, 93, 95, 96, 88, 90. Using Excel’s Data Analysis add-in,
a. Forecast the high temperature today, using a 3-day moving average.
b. Forecast the high temperature today, using a 2-day moving average.

c. Forecast the high temperature today, using weighted moving average with weights 0.5, 0.3 and 0.2 for the most recent, second most recent, and third most recent periods, respectively. d. Calculate the mean absolute deviation (MAD) based on each of the techniques above. Which forecasting method provides a lower MAD?

uppose that The Elasticity of Imports in the USA in the short Run is 0.5 The Elasticity of Imports in Japan in the short Run is -0.3 The Elasticity of Imports in the USA in the long Run is 1.2 According to the Elasticities approach to the Current Account Balance, if the Exchange Rate goes from Yen=$1/100 to Yen=$1/50 ...

The Current Account Balance in the US will deteriorate in the short run and in the long run

The Current Account Balance in the US will deteriorate in the short run, and improve in the long run

The Current Account Balance in the US will improve in the short run and in the long run

The Current Account Balance in the US will deteriorate in the short run, and improve in the long run as long as the elasticity of imports in Japan is strictly more than -0.2

Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose thatP(A) = 0.7and P(B) = 0.3.

(a)Could it be the case thatP(A ∩ B) = 0.5?

Why or why not?

(b) From now on, suppose thatP(A ∩ B) = 0.2.

What is the probability that the selected student has at least one of these two types of cards?

(c)What is the probability that the selected student has neither type of card?

(d)Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.

Calculate the probability of this event.

(e) Calculate the probability that the selected student has exactly one of the two types of cards.

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

HoHo : pA=0.1pA=0.1;  pB=0.4pB=0.4;  pC=0.3pC=0.3;  pD=0.2pD=0.2

Complete the table. Report all answers accurate to three decimal places.

What is the chi-square test-statistic for this data?
χ2=χ2=

What is the P-Value?
P-Value =  


For significance level alpha 0.005,

What would be the conclusion of this hypothesis test?

• Reject the Null Hypothesis
• Fail to reject the Null Hypothesis

Report all answers accurate to three decimal places.

Calculate ?(? < 8) if: (i) ? is the number of distinctions reported in a year by 20 Colleges. Each College produces distinctions at the rate of 0.2 per year independently of the other Colleges. (ii) ? is the number of claims examined up to and including the fourth claim that exceeds K20,000. The probability that any claim received exceeds K20,000 is 0.3 independently of any other claim. (iii) ? is the number of deaths amongst a group of 500 TB patients. Each patient has a 0.01 probability of dying independently of any other patient. (iv) ? is the number of phone calls made before an agent makes the first sale. The probability that any phone call leads to a sale is 0.01 independently of any other call.

A study is conducted regarding shatterproof glass used in automobiles. Twenty-six glass panes are coated with an anti-shattering film. Then a 5-pound metal ball is fired at 70mph at each pane. Five of the panes shatter. We wish to determine whether, in the population of all such panes, the probability the glass shatters under these conditions is different from π= 0.2

(a) State the appropriate null and alternative hypotheses.

(b) Check the conditions for trusting the conclusion of the test, and calculate the observed value of an appropriate test statistic.

(c) Calculate the rejection region and draw a conclusion, given the significance level α= 0.05.

(d) Calculate the p-value.

(e) Compute the power of the test if the trueπwas in fact 0.3.

You invest 27,000 in a corporate bond selling for $900 per $1000. Over the coming year, the bond will pay interest of $75 per $1000 of par value. The price of the bond at year’s end will depend of the level of interest rate prevailing at that time. You construct the following scenario analysis:

Your alternative investment is a T-bill that yields a certain rate of 5%. Calculate the HPR for each scenario, the expected rate of return, and the risk premium on your investment.   What is the expected year-end dollar value of your investment? (9 Points)

The space shuttle orbits the earth 16 times per day.

m_earth = 5.975 x 10²⁴ kg              r_earth = 6.371 x 10⁶ m          G = 6.67 x 10^-11 N^.m²/kg²

1. How high (in miles) above the earth does it orbit?     Height “h” above the Earth’s surface?
2. What is the acceleration due to gravity at this height? a_Centrip = a_Grav
3. What is the period (in hours) of revolution?   T = ? 1/f           f Þ rev/hr

            w = 16 rev/dy = 16rev/24h = 0.667 rev/h                                          

                                                            = 0.667rev/h(2prad/rev)(1h/3600s) = 1.16x10^-3 rad/s

                        F_Centrip = F_Grav               m_Sa_Centrip = (Gm_Sm_E)/r²

Q: Doris locks Phil in a third floor room. Phil sues Doris for false imprisonment. Which of the following statements is true?

a: Doris would not be liable if Phil could have escaped by traveling two miles through a narrow sewer line that periodically floods with water.

b: In some jurisdictions, Doris would escape liability if Phil slept through the entire period that the door was locked and thus was unaware that he was being detained.

c: Doris would escape liability if she let Phil out of the room after one hour.

d: Even if Phil could have easily escaped through an open window, Doris is still liable. INCORRECT