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# Probability

### Calculating Probability from a Distribution

11 Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is___

### Statistics - Finding Standard Deviation

** Please see the attached file for the complete problem description ** 15) According to the empirical rule, what percent of data should fall between +/1 stdev? +/-2 stdev? +/- 3 stdev? How does this compare to the a. Results for a random shape at 20 samples? b. Results for a random shape at 200 samples? c. Results for a

### Simulation Modeling

I've attached an Excel template for this problem and it needs to be answered using this template. Every home football game for the past eight years at Eastern State University has been sold out. The revenues from ticket sales are significant, but the sale of food, beverages, and souvenirs has contributed greatly to the overa

### Probability and Tree Diagrams

A manufacturer receives voltage regulators from the three different companies, A, B, and C. The proportions of the voltage regulators coming from the three companies are 65%, 27%, and 8%, respectively. If 90% of the voltage regulators are from A, 88% from B, and 70% of those from C meet the manufacturers expectations, what is th

### Poisson distribution

A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth. a. Find the probability that a given 200-foot length of cloth will have no flaws. b. What is the probability that there will be at least one flaw within a given 2

### Probability Distribution for Population

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is ______

### Statistical Analysis of Binomial Distributions

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. N = 50, p = 0.5 The mean, µ, is ______ (round to nearest tenth as needed) The variance is ______ (round to nearest tenth as needed) The standard deviation is ______ (round to nearest tenth as needed)

### Probability Distribution Analysis

The probability of an adverse reaction to a flu shot is 0.10. Let r be the number of people suffering a reaction from a flu shot that has been given to a group of 5 people. a. Find P(r) for r = 0, 1, 2, 3, 4, 5 b. What is the expected number of people that will have an adverse reaction to the shot? c. compute the standard d

### Probability with Two Dice

You roll two fair dice, a red one and green one a. what is the probability of getting a 4 on the red die and a 2 on the green die? b. what is the probability of getting a 4 on the red die or a 2 on the green die? c. suppose we know that a 4 was rolled on one of the dice. What is the conditional probability of that the s

### Statistics and Probability Exercises

See the attached file. 1. Of households in the United States, 18 million, or 17%, have three or more vehicles, as stated in USA Today (June 12, 2002), quoting the Census Bureau as the source. (a) If two U.S. households are randomly selected, find the probability that both will have three or more vehicles. (Give your answer cor

### Poisson Distribution in Queuing

A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average s

### Probability in Normal Distribution

1. A certain brand of electric stove has a length of life that is approximately normally distributed with a mean life of 15.7 years and a standard deviation of 4.2 years (Blaisdell, 1998). a. What percentage of stoves would we expect to last less than 13.5 years? b. What percentage of stoves would we expect to last betwee

### Conditional Probability using a Chart

Attached is a table showing the prevalence of Alzheimer's disease. Suppose an unrelated 77 year old man, 76 year old woman, and 82 year old woman are selected from a community. 1. What is the probability that all three of these individuals have Alzheimer's disease? 2. What is the probability that at least one of t

### Some Japanese consumers are willing to pay premium prices for Maine lobsters

Some Japanese consumers are willing to pay premium prices for Maine lobsters. One factor in the high cost is the mortality rate during the long distance shipping from Maine to Japan. Suppose the number of deaths x per 10 lobsters is given by the following distribution. An air shipment of 750 crates, each containing 10 lobsters,

### Poisson Distribution and Confidence Interval

a) The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day, i. five ships will arrive; ii. too many cargo ships will arrive. b) The following represents a random sample of

### Probability - Normal Distributions

A credit union claims that the credit card debts carried by its clients are normally distributed with a mean of \$3050 and a standard deviation of \$950. a) What is the probability that a randomly selected client has a balance of less than \$2900 on his credit card? b) The credit union wants to advertise some financial produ

### Probability Example Problems

A student has to sit a multiple-choice test with fi ve questions. Each question has five answer choices. Only one of the choices is correct. He does not know what the answer is to any question, so he guesses the answer randomly. Find the probability of answering a) the fi rst question correctly; b) the first two questions

### Queuing Theory Assignment

Winter Park Hotel Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a separate waiting line, during the peak check-in time of 3:00 P.M. to 5:00 P.M. Observation

### Probability Example Problem: Random Selection of Bulb

A company just began manufacturing a new high-efficiency model of light bulb. A quality control engineer randomly selects 1500 of these bulbs from the most recent batch produced and tests them to be sure they work. Out of the 1500 tested, 29 would not turn on. Based on these results, what is the probability that a randomly selec

### Sample Space for a Game

1. A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black. A standard die has six sides that are equally likely to come up and are numbered from 1 to 6. A game is played where a single card is drawn from a standard deck and the color is recorded. A standard die is also rolled and the

### Probability: EKA Manufacturing Company

1. EKA manufacturing company produces Part # 2206 for the aerospace industry. Each unit of part # 2206 is sold for \$15. The unit production cost of part # 2206 is \$3. The fixed monthly cost of operating the production facility is \$3000. How many units of part # 2206 have to be sold in a month to break-even? 2. A compa

### Defectiveness in the Production Process

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)?

### Probability Calculation: Titanic Mortality Data

In this the anniversary of the sinking of the Titanic, it is interesting to look at the distribution of those who survived, and those who died. The table below describes the number of men, women and children who were passengers on the Titanic. The table lists both the number who survived as well as the number in each category wh

### Statistics for Decision-Making

Please assist to state the basic rules of probability and apply these rules to events of interest. Also assist with the set up a contingency table for categorical variables and solve for the probability of simple, joint and conditional events. Identify and explain the different uses of the basic graph types. See the

### Using probability in your profession and real life

Do you use probability in your profession or real life? You most likely do. For example, chance of rain tomorrow is 27%. We hear similar probabilities in the media all the time. Similar probabilities could be found in other professions. Using a search engine, find an example of probability that is used in your chosen profession

### Probability Case: The Average Weight of Men

Data from a National Health Survey show that men's average weight is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds. a. If a man is chosen at random, what is the probability that his weight is greater than 180 pounds? b. If 100 men are randomly selected, what is the probability that th

### Probability Basics

I'm trying to calculate these probabilities given the top row as reference to go off of. I can figure out the first one as it 1- it's compliment. I don't need the answers, I just would like to know how each is calculated to find the answers. There has to be a basic formula for this? Thanks! P(A) = 0.1, P(B|A) = 0.39, P(B?A ?

### The foreman of a bottling plant has observed that the amount of soda pop in each 32 ounce bottle is actually a normally distributed random variable with?

1.  The foreman of a bottling plant has observed that the amount of soda pop in each 32 ounce bottle is actually a normally distributed random variable with? = 32.2 ounces and? = .3 ounces.   a.      Find the probability that if a customer buys one bottle, it will contain at least 32 ounces.   z = (32-32.2) / .3 = -

### Binomial Probability

Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls. If he calls on four potential clients, what is the probability that he makes exactly 3 sales? What is the probability that he makes exactly 4 sales?

### Rate of return (X) on a proposed investment is approximately

5.  A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with a mean of 30% and a standard deviation of 10%. a.  Find the probability that the return will exceed 55%. b.  Find the probability that the return will be less than 22% 6.  The life expe