Can you break it down how I should do it?

Scores on a university exam are Normally distributed with a mean of 70 and a standard deviation of 10. The professor teaching the class declares that a student will receive a “F” if his or her score is below 50.

1. Using the 68-95-99.7 rule, what percent of students will receive “F”?

2. Using the 68-95-99.7 rule, what percent of students will score between 60 and 90?

3. Using the standard Normal distribution tables, the area under the standard Normal curve corresponding to –1.0 < Z < 1.0 is:

a. 0.3085.

* b. 0.6828.

c. 0.5328.

d. 0.2815.

1) Write an algorithm to calculate the sum of the following series:

Sum =x-x3/3! + x5/5! – x7/7! +……. Stop when the term<0.0001.

2) An internet service provider charges its subscribers per month as follows:

Data usage (n), in gbs charges (NIS)

0.0<n<=1.0 250

1.0<n<=2.0 500

2.0<n<=5.0 1000

5.0<n<=10.0 1500

n>10 2000

Write a C program to read the usage(n) from a file and print the charges to be paid by the subscribers.

Your program must include the function calculate that accept the data usage (n ) and returns the charge/month.

You decide to construct a zinc/aluminum galvanic cell in which the electrodes are connected by a wire and the solutions are connected with a salt bridge. One electrode consists of an aluminum bar in a 1.0 M solution of aluminum nitrate. The other electrode consists of zinc bar in a 1.0 M solution of zinc nitrate.

a. Which electrode is the cathode and which is the anode?

b. What is the direction of electron flow?

c. What chemical reactions are occurring at each electrode?

d. What is the overall balanced chemical reaction?

e. After a period of time, will the bar of zinc become heavier, lighter or stay the same? What about the aluminum bar?

f. What is the standard cell potential?

DUK stock has a Beta coefficient of 1.0. This means that if the Indianapolis-based market (index) LOSES 2.0% today (Monday, April 6, at 9:00 EDT), what will happen to DUK stock?

it will go down 1.0%

it will go down 2.0%

it will go down 100%

it will go down 200%

Question 361 pts

WISC stock has an Alpha of 1.5. If the index goes up, which of the following statements is most accurate?

WISC will go up 1.5%

WISC will go up 1.5 times more than the index

WISC will outperform the index by 1.5%

WISC will go down 1.5 times more than the index

Weak diprotic acid H₂A is titrated with 0.2000 M NaOH. The initial concentration of H₂A is 0.1000 M and the initial volume is 50.00 mL.      K_a1 = 1.0 x 10⁻⁵       K_a2 = 1.0 x 10⁻⁹

(a) (0.2 pt) Identify the predominate species at the first equivalence point, by chemical formula:

(b) (0.5 pts) Calculate the pH of the acid solution before any base is added.

(c) (0.5 pts) Calculate the pH at the first equivalence point.

(d) (0.2 pts) How many mL base, total, must be added to achieve the 2nd equivalence point?

(e) (0.5 pts) Calculate the pH at the second equivalence point.

Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 27% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 6%.

Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) − 0.5 × Aσ².

You decide to construct a zinc/aluminum galvanic cell in which the electrodes are connected by a wire and the solutions are connected with a salt bridge. One electrode consists of an aluminum bar in a 1.0 M solution of aluminum nitrate. The other electrode consists of zinc bar in a 1.0 M solution of zinc nitrate. a. Which electrode is the cathode and which is the anode? b. What is the direction of electron flow? c. What chemical reactions are occurring at each electrode? d. What is the overall balanced chemical reaction? e. After a period of time, will the bar of zinc become heavier, lighter or stay the same? What about the aluminum bar? f. What is the standard cell potential?

Once every weekend, I go out for breakfast – usually at Sweet Paris, Mess, or First Watch. However, my decision usually depends on where I ate in the prior week. Basically, my breakfast eating habits are a Markov process and I’ve summarized the transition matrix below.

Sweet Paris Mess First Watch

Sweet Paris 0.3 0.3 0.4

Mess 0.6 0.4   0

First Watch 0.3 0.7 0

Sweet Paris has a policy where you earn a free crepe after 16 visits – thus I might be interested in the 16th passage time – how long it would take me to visit 16 times and earn a free crepe.

As it turns out, I already have 15 visits. I only need one more to earn my free crepe!!! I.e., I’m interested in my first passage to Sweet Paris.

1. (a) If I most recently ate at Sweet Paris, determine the probability I will earn a free crepe in 1 week, 2 weeks, 3 weeks, and 4 weeks.

2. (b) If I most recently ate at Mess, determine the probability I will earn a free crepe in 1 week, 2 weeks, 3 weeks, and 4 weeks.

3. (c) If I most recently ate at First Watch, determine the probability I will earn a free crepe in 1 week, 2 weeks, 3 weeks, and 4 weeks.

Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is

x 0 1 2 3 4

pX(x) 0.1 0.2 0.3 0.25 0.15

Seventy percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.

(a) What is P(X = 4, Y = 2)? [Hint: This probability equals P(Y = 2|X = 4) · P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an extended warranty.] (Round your answer to four decimal places.)

P(X = 4, Y = 2) =

(b) Calculate P(X = Y). (Round your answer to four decimal places.)

P(X = Y) =

(c) Determine the joint pmf of X and Y. y x (0.7)y(0.7)x−y · pX(x) x y (0.7)y(0.3)x−y · pX(x) x y (0.7)x(0.3)x−y · pX(x) y x (0.7)x(0.7)x−y · pX(x)

Determine the marginal pmf of Y. (Round your answers to four decimal places.)

y 0 1 2 3 4

pY(y)

Please show work.