According to the National Association of Colleges and Employers, the 2015 mean starting salary for new college graduates in health sciences was $51,541. The mean 2015 starting salary for new college graduates in business was $53,901. † Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $17,000.

(a)

What is the probability that a new college graduate in business will earn a starting salary of at least $65,000? (Round your answer to four decimal places.)

(b)

What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000? (Round your answer to four decimal places.)

(c)

What is the probability that a new college graduate in health sciences will earn a starting salary less than $46,000? (Round your answer to four decimal places.)

(d)

How much would a new college graduate in business have to earn in dollars in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences? (Round your answer to the nearest whole number.)

$

Binomial Probabilities

A multiple-choice quiz consists of n = 10 questions in the form True or False. Mary assumes that her comprehension level is p = 0.70, so that is the chance that she picks up a right answer. Let M denote a number of questions Mary answered correctly. Suppose that all TEN trials are independent.
Answer questions below using answers in the multiple-choice format. No calculation is required here. Just recognize the proper formula for each case.

1. A: (10) · (0.7) · (0.3)9

2. B: 1 − [(0.3)10 + (‘10) · (0.3)9 · (0.7)]

3. C: (10) · (0.7)9 + (0.7)10

4. D: (10) · (0.7)9 · (0.3)

5. E: 1 − [(10) · (0.7)9 + (0.7)10]

6. F: (0.3)10 + (10) · (0.3)9 · (0.7)

1. Probability that Mary has exactly NINE correct answers

2. Chance that Mary has at most ONE wrong answer

3. Probability that she correctly answers exactly ONE question

4. Chance that Mary has at most ONE correct answer

5. Probability that she has more than ONE question answered right

6. Chance that Mary has more than ONE wrong answer

The Bartram-Pulley Company (BPC) must decide between two mutually exclusive investment projects. Each project costs $6,750 and has an expected life of 3 years. Annual net cash flows from each project begin 1 year after the initial investment is made and have the following probability distributions:

BPC has decided to evaluate the riskier project at a 12% rate and the less risky project at a 9% rate.

1. What is the expected value of the annual net cash flows from each project? Do not round intermediate calculations. Round your answers to nearest dollar.

   	Project A	Project B
   Net cash flow	$	$

   
   What is the coefficient of variation (CV)? Do not round intermediate calculations. (Hint: σ_B=$5,444 and CV_B=$0.73.)

   	σ (to the nearest whole number)	CV (to 2 decimal places)
   Project A	$
   Project B	$

2. 
   
3. What is the risk-adjusted NPV of each project? Do not round intermediate calculations. Round your answer to the nearest dollar.

   Project A		$
   Project B		$

Problem 12-05 (Algorithmic) The price of a share of a particular stock listed on the New York Stock Exchange is currently $42. The following probability distribution shows how the price per share is expected to change over a three-month period: Stock Price Change ($) Probability -1 0.10 0 0.05 1 0.20 2 0.30 3 0.10 4 0.05 5 0.20 Set up intervals of random numbers that can be used to generate the change in stock price over a three-month period. If required, round your answers to two decimal places. Stock Price Change Probability Interval -1 0.10 but less than 0 0.05 but less than +1 0.20 but less than +2 0.30 but less than +3 0.10 but less than +4 0.05 but less than +5 0.20 but less than With the current price of $42 per share and the random numbers 0.8661, 0.6547, 0.0507 and 0.6333, simulate the price per share for the next four 3-month periods. Random Number Price Change Ending Price Per Share 0.8661 $ 0.6547 $ 0.0507 $ 0.6333 $ What is the ending simulated price per share? $

Please Answer and Show all the sections in this question.

Federal law under Title 49 of the United States Code, Chapter 301, Motor Vehicle Safety Standard took effect on January 1, 1968 and required all vehicles (except buses) to be fitted with seat belts in all designated seating positions. While most states have laws requiring seat belt use today, some people still do not “buckle up.” Let’s assume that 90 % of drivers do “buckle up.” If drivers are randomly stopped to check seat belt usage, answer the following questions and show your work.

1. How many drivers do they expect to stop before finding a driver whose seatbelt is not buckled?
2. What is the probability that the second unbelted driver is in the ninth car stopped?
3. What is the probability that of the first 10 drivers, 8 or more are wearing their seatbelts?
4. If they stop 30 cars during the first hour, find the mean and standard deviation of the number of drivers not expected to be wearing seatbelts?
5. If they stop 120 cars during this safety check, what is the probability they find at least 12 drivers not wearing seatbelts?

Please Answer and Show all the sections in this question.

Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean μ = 3500 grams and standard deviation σ = 619 grams is a reasonable model for the probability distribution of the continuous numerical variable x = birth weight of a randomly selected full-term baby.

a. What is the probability that the birth weight of a randomly selected full-term baby is either less than 2000 g or greater than 5000 g? (Round your answer to four decimal places.)

b How would you characterize the most extreme 0.1% of all full-term baby birth weights? (Round your answers to the nearest whole number.) The most extreme 0.1% of birth weights consist of those greater than ____ grams and those less than ____ grams.

c. If x is a random variable with a normal distribution and a is a numerical constant (a ≠ 0), then y = ax also has a normal distribution. Use this formula to determine the distribution of full-term baby birth weight expressed in pounds (shape, mean, and standard deviation), and then recalculate the probability from 0.700. (Round your answer to four decimal places.)

Use for Questions 1-7: Hector will roll two fair, six-sided dice at the same time. Let A = the event that at least one die lands with the number 3 facing up. Let B = the event that the sum of the two dice is less than 5.

1. What is the correct set notation for the event that “at least one die lands with 3 facing up and the sum of the two dice is less than 5”?

2. Calculate the probability that at least one die lands with 3 facing up and the sum of the two dice is less than 5.

3. What is the correct set notation for the event that “at least one die lands with 3 facing up if the sum of the two dice is less than 5”?

4. Calculate the probability that at least one die lands with 3 facing up if the sum of the two dice is less than 5.

5. What is the correct set notation for the event that “the sum of the two dice is not less than 5 if at least one die lands with 3 facing up”?

6. Calculate the probability that the sum of the two dice is not less than 5 if at least one die lands with 3 facing up.

7. Are A and B independent? Explain your reasoning

According to the National Association of Colleges and Employers, the 2015 mean starting salary for new college graduates in health sciences was $51,541. The mean 2015 starting salary for new college graduates in business was $53,901. † Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $17,000.

(a) What is the probability that a new college graduate in business will earn a starting salary of at least $61,000? (Round your answer to four decimal places.)

(b) What is the probability that a new college graduate in health sciences will earn a starting salary of at least $61,000? (Round your answer to four decimal places.)

(c) What is the probability that a new college graduate in health sciences will earn a starting salary less than $42,000? (Round your answer to four decimal places.)

(d) How much would a new college graduate in business have to earn in dollars in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences? (Round your answer to the nearest whole number.)

Question B1 Hong Kong Tourism Board (HKTB) has modified the hotel classification system to reflect more accurately the quality and service of Hong Kong Hotel. These factors are weighted to their relative importance according to the result of survey. The composite score of a hotel, which is compiled, based on the scores obtained for the indicators and the weights of the indicator and it is the overall measure reflecting the category of the hotel.

a) Identify FOUR components under Facilities factor; illustrate your answer with ONE example from each component.

b) From each component under Facilities, based on the official websites of EIGHT hotels in HKSAR, find out a total of EIGHT different hotels, including FOUR of them will get lowest score and FOUR of them will get highest score. Briefly provide reasons to support your findings.

c) Under Location, hotel can get score 1 to 5. Identify and explain FIVE different hotels, including ONE each with score 1, 2, 3, 4 and 5 at Location, based on the websites of hotels in HKSAR.

d) Explain how a hotel can get the highest score under SRR.

e) Explain how a hotel can get the highest score under AARR. f) Under Business Mix, will a hotel get zero score? Explain your answer.

IN JAVA WITH COMMENTS, The assignment: This program inputs the names of 5 students and the (integer) grades they earned in 3 tests. It then outputs the average grade for each student. It also outputs the highest grade a student earned in each test, and the average of all grades in each test.

Your output should look like this:

Mary's average grade was 78.8%

Harry's average grade was 67.7%

etc... :

In test 1 the highest grade was 93% and the average was 89.2%

In test 2........etc

Your main method should be modular.

Write a method that inputs the 5 names into an array (one dimensional), and returns this array to main

Write a method that inputs the 15 (integer) test grades into a (two-dimensional) array, and returns this array to main.

Write a method that calculates the students averages and stores them in an array , and returns this array to main

Write a method that calculates the average grade for each test and stores them in an array, and returns this array to main

Write a method that determines the highest grade for each test and stores this in an array , and returns this array to main. MAIN will print all the information. The printing could be done easily by the methods instead of having to store the information in an array, but this will give you practice in arrays and methods - all useful for the final exam.

Thanks a lot, please include the comments.