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    Probability

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    Steps on calculating the hospital's cost of capital

    Assuming you are the financial manager of a for-profit hospital, what is the hospital's cost of capital assuming that the hospital has the following capital structure on its Statement of Financial Position (SFP; also known as a Balance Sheet): Long-Term Debt: $300M; current Yield to Maturity (YtM) of 6.5%, selling at par.

    Ipad Security Code

    To log into an IPad, a four-digit security code needs to be typed. The code can be digits 0 through 9 or lower case letters a through z. How many four-digit codes can be formed in total? Is it likely that someone who is not the owner of the IPad will guess the code?

    Linear Regression V1.0

    The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who have similar performance ratings, years of service and relevant certifications. The personnel director believes that an employee'

    Theoretical and Experimenatal Probability

    Probability is an important topic, and students should be able to test theoretical computations against experimental data. Consider a deck of 52 cards with the following characteristics: 13 red cards, numbered 1 through 13 13 blue cards, numbered 1 through 13 13 green cards, numbered 1 through 13 13 black cards, numbered

    Expectation of a mixture

    A number N is chosen according to a Poisson distribution with mean 10. A fair coin is then tossed until N +1 heads are obtained. What is the expected number of tosses it will take to stop the experiment?

    Random variable expectation, Polya urn

    I need help in two probability problems using R program. Thanks so much! 1. Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000. Use the Notebook feature in RStudio

    Solving various questions on fundemantals of statistics

    12. Which of the following numbers could be the probability of an event? 1.5 , 1/2 , 3/4 , 2/3 , 0 , -1/4 34. For some diseases, such as sickle-cell anemia, an individual will get the disease only if he or she receives both recessive alleles. This is not always the case. For example, huntington's disease only requires on

    Probability of a random sample

    A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders. Suppose that this belief is correct. A random sample of 144 current stockholders is taken a. If random sample of 144 current stockholders is taken, what is th

    Statistical Analysis of Simulation Results

    " A company produces a product on a number of machines. Each machine generates between $200 and $400 of revenue per day according to the uniform probability distribution. When a machine breaks down, it must be repaired, and the repair time may take 1, 2, or 3 days to be completed according to the following probability di

    Random Probability Distribution

    Three marbles are chosen without replacement from a box containing 12 red, 7 blue, and 8 yellow marbles. Let X be the number of blue marbles chosen. a) Find and graph the probability distribution of X. b) Find the mean of the random variable X.

    Probability of Twin Births

    Based upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: a) at most 600 of them will result in twins being born? b) between 525 and 550 of them (inclusive) will result in twins being born

    Probability: Selection Without Replacement

    Suppose that you select 3 cards without replacement from an ordinary deck of playing cards. a) If the first card that you select is a spade and the second is a heart, what is the probability that the third card that you select is a spade? b) If the first card that you select is a four, what is the probability that the second

    Probability - Department Stores (J C Penney, Macy's, and Sears)

    A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears, 109 made a purchase at JC Penney and Macy's, 167 made a purchase at JC Penney and Sears, 213 of them made a purchase

    Explaining Basic Logic of Probability Theory

    If i take a selective quantitative data for an example like it takes me 15 minutes to get to work everyday for 10 days how can/would i describe it. What is my ability to explain the basic logic of probability theory & my ability to identify the meaning of independent and dependent events

    Histograms, probability and random number range

    I am working on a crew/asset planning problem that requires a discrete process generation table. The input data is shown in the histogram, and the required table format is shown. Please solve to fill the table data. Preferred format is Excel.

    Calculating the Probability for a Normal Random Variable

    The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observed. Find the probability that her age will fall between 56 and 59 years. Find the probability that her age will exceed 41 years.

    Finding Probabilities Under Normal Distribution

    Suppose x is a normally distributed random variable with y=13 and o=2. Find the following probabilities: 1. P (x is greater than or equal to 13.5) 2. P (13.44 is less or equal to x and 18.18 is greater than or equal to x).

    Averages and Probability

    The Wizard Tax Service is analyzing its operations during the month prior to the April 15 tax filing date. There is currently only one tax preparer at Wizard. On the basis of past data, it has been estimated that customers arrive according to a Poisson process with and average time between arrivals of 12 minutes. When the tax

    Using Binomial Probability Distribution

    1 Pan Thai Restaurant offers 5% discount if the customer pays in cash instead of paying by a credit card. Past evidence indicates that 30% of all customers pay in cash. During a day period 120 customers buy gasoline at this station. (a) What is the probability that at least 50 customers pay in cash? (b) What is the

    Applying the Probability Model

    Please see attached files and use it to apply the questions if needed: 1) The definition of a probability model. Illustrate the two parts of the definition with an example selected from the worksheet. 2) Define the notion of independent events in a probability model. Using as your model the 36 element set of outcome

    Probability: High Risk Apartments

    In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants. Block B contains eight apartments, with three occupied by "High Risk" inhabitants, and Block C contains 12 apartments, with four "High Risk" apartments. Assume that an apartment

    Probability Distribution: Learning Surveys

    Learning is a lifetime activity. For some, it means learning from everyday experiences; for others, it means taking classes in a more traditional atmosphere. The percentage of people participating in organized learning situations during 2002 for each age group is reported here by NIACE. Age group:.........17-19...... 20-24.

    Markov Chain and Steady State Probabilities

    1. A production process contains a machine that deteriorates rapidly in both quantity and output under heavy usage, so it is inspected at the end of each day. Immediately after inspection the condition of the machine is noted and classified into one of four possible states: State 0: good as new 1: Operable - minimum deteri

    Probability and Descriptive Statistics

    Questions should be solved on excel file using excel functions. 1) Probabilities. A fair coin was tossed 3 times. Calculate the probabilities of the following 6 events. 1. Three heads were observed 2. Two heads were observes 3. One head were observed 4. At least two heads were observed 5. No more than two tails were o

    Statistics and Probability Distribution

    Please show all of the steps and processes you used to solve each of the problems 1. Would you suspect that the IDEA surveys sent to South students each term could be biased in the responses received? Why or why not? 2.Using the data set below, please calculate the: 12 16 12 10 20 10 10 - Mean = - Median =

    Poisson Distribution: Birth-Death Process

    The McDougal Sandwich Shop has two windows available for serving customers, who arrive at a Poisson rate of 40/hr. Service time is exponentially distributed with a mean of 2 min. Only one window is open as long as there are three or less customers in the shop. An identical server opens a second window when there are four or more

    Algebraic Worksheet

    Please see attachment 1. The triangles are similar. Find the value of a. (See attached for diagram) A. 12 B. 6 C. 16 D. 10 2. In a survey, 480 people, or 75%, said they attended a movie at least once a month. How many people were surveyed? A. 360 people B. 555 people C. 405 people D. 640 people 3. Find P(

    Bayes Theorem - Decision Analysis - Type I & Type II Errors

    See the attached file. Need step-by-step instructions on how to solve the following example problems: Decision Analysis The quality control manager in a chip manufacturing plant has to select one of two available quality control methods. The estimated error rates for the methods are presented below: (see attachment)

    Moment generating function and poisson distribution

    ** Please see the attached file for the complete solution ** Shirley runs a real estate company. She counts the total number of flats that she sells everyday. Let X_t be the total number of flats she sells on day t (t=1,2,...,7), and let X be the total number of flats she sells for the week. Suppose X_t are independent and iden