Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.39 (a couple will travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the number of people who arrive late for the seminar.

(a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.)

(b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.)

Use the cumulative distribution function of X to calculate

P(3 ≤ X ≤ 6).

El documento de Excel anexo presenta las estadísticas de criminalidad en una ciudad. También se presentan otros datos importantes a cerca de educación. El propósito de este ejercicio es crear dos modelos de regresión lineal múltiple donde se trate de predecir: a) Y1 usando como predictores X3,X5,X6 b) Y2 usando como predictores X3,X4,X7 En cada caso se necesita: 1. El modelo (todos los coeficientes beta) y la interpretación de cada coeficiente. 2. Cuan significativos son cada uno de los coeficientes 3. El coeficiente de determinación del modelo (R cuadrado) 4. La interpretación de R cuadrado 5. En el caso (a) prediga: Cuál será la tasa de crímenes totales reportados por milón de habitantes si se asignan 50 dólares anuales por habitante a la policía, hay un 10% de jóvenes entre 16 y 19 años que no asisten a la escuela superior (ni la han finalizado) y hay un 50% de jóvenes entre 18 y 24 años que asisten a la universidad. 6. En el caso (b) prediga: Cuántos crímenes de violencia se reportarán si se asignan 20 dólares anuales por habitante a la policía, hay 60% de personas de más de 25 años que finalizaron la escuela superior y hay un 5% de personas de 25 años o más que lograron una carrera universitaria de 4 años. 7. Luego de hacer todo este análisis arroje conclusiones prácticas acerca de los hallazgos hechos en esta ciudad. 8. Si usted es un consejero para las autoridades de esa ciudad, por favor escriba un parrafo de recomendaciones a seguir para tratar de reducir la criminalidad. ABAJO APARECEN CIERTAS FÓRMULAS QUE LE PUEDE SER DE UTILIDAD, AUNQUE LA RECOMENDACIÓN QUE RESUELVA TODO EL PROBLEMA USANDO R Y/O EXCEL PARA EL MISMO.

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

(e) Find a 90% confidence interval for y when x = 70. (Round your answers to one decimal place.)

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)

Periodic Inventory by Three Methods; Cost of Merchandise Sold The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units @ $114 Mar. 10 Purchase 50 units @ $122 Aug. 30 Purchase 30 units @ $128 Dec. 12 Purchase 70 units @ $130 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost and the cost of merchandise sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar.

Periodic Inventory by Three Methods; Cost of Merchandise Sold The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units @ $114 Mar. 10 Purchase 50 units @ $122 Aug. 30 Purchase 30 units @ $128 Dec. 12 Purchase 70 units @ $130 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost and the cost of merchandise sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar.

The purpose of this assignment is to practice working with marketing research data, searching for patterns in the numbers that might lead you to a new understanding about consumers, their behaviors or their preferences. Download the McSandwich Excel spreadsheet that lists the responses given by 50 customers of the fast food restaurant. The customers were asked questions about the food (quality & variety), service (friendly, fast & competent), pricing, the overall experience (recommend to a friend, general satisfaction), and some personal information (gender, frequency of dining there, and how close to the restaurant they lived). Sort the responses by gender (0 = male, 1 = female) and use the “Average” function to determine if males and females had different opinions about the restaurant’s food, service, pricing and overall experience. Sort the responses again, this time by usage (0 = infrequent diner, 1 = frequent diner). Once again, use the “Average” function to determine if frequent diners and infrequent diners had different opinions about the restaurant’s food, service, pricing and overall experience. Sort the responses one last time, this time by home location (1 = less than a mile from the restaurant, 2 = 1-5 miles from the restaurant, 3 = more than 5 miles from the restaurant). Again, use the “Average” function to determine if nearby and more distant consumers had different opinions about the restaurant’s food, service, pricing and overall experience. In a 2 page document, summarize your conclusions from the three different ways you examined the data. Please include the specific numeric data that led you to those conclusions. Then, describe at least 3 recommended marketing actions for McSandwich, based on those conclusions.

Poisson

1. Passengers of the areas lines arrive at random and independently to the documentation section at the airport, the average frequency of arrivals is 1.0 passenger per minute.

to. What is the probability of non-arrivals in a one minute interval?

b. What is the probability that three or fewer passengers arrive at an interval of one minute?

C. What is the probability not arrived in a 30 second interval?

d. What is the probability that three or fewer passengers arrive in an interval of 30 seconds?

2. The average number of spots per yard of fabric follows a Poisson distribution. If λ = 0.2 spot per square yard.

to. Determine the probability of finding 3 spots in 2 square yards.

b. What is the probability of finding more than two spots in 4 square yards?

C. What is the average stain in 10 square yards?

Hypergeometric

1. It is known that of 1000 units of ACME cars of a lot of 8000, they are red. If 400 cars were sent to a wholesaler, what is the probability that you will receive a hundred or less red cars. (Assume X = red auto)

a) P (X <= 100) =? (Hypergeometric)

b) P (X> 50) =?

c) E (x) = expected value red cars

I. Continuous Distribution: Normal

1. Long distance telephone calls have a normal distribution with µ x = 8 minutes and σx = 2 minutes. Taking a unit up.

to. What is the probability that a call will last between 4 minutes and 10 minutes?

b. What is the probability that a call will last less than 9 minutes?

C. What is the value of X so that 12% of the experiment values ​​are greater than it?

d. If samples of size 64 are taken:

i. What proportion or probability of the sample means of the calls will be between 7 minutes and 9 minutes?

ii. What proportion or probability of the sample means of the calls is greater than 5 minutes?

iii. Between that two values ​​from the sample mean are 90% of the data.

Exponential

1. The time to fail in hours of a laser beam in a cytometric machina can be modeled by an exponential distribution with λ = .0005

to. What is the probability that a laser will fail more than 10000 hours?

b. What is the probability that a laser will fail less than 20,000 hours?

C. What is the probability that a laser will fail between 10,000 and 20,000 hours?

in java

Implement a function print2Darray(int[][] array) to print a formatted 4x4 two dimensional integer array. When the array contains {{10, 15, 30, 40},{15, 5, 8, 2}, {20, 2, 4, 2},{1, 4, 5, 0}}, Your output should look like:

{10 15 30 40} {15 5 8 2}{ 20 2 4 2}{ 1450}

Now, implement another function print2DList(ArrayList<ArrayList<Integer>> list) to print a formatted 2D list.