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Probability

Probability: Computations Based on Gender and Job Specifications

Question: The Penguin Company employs 200 men and 50 women. Of the male employees, 140 work in the plant, 20 are in the office, and 40 are field salesmen. The female employees are distributed as follows: 10 to the plant, 25 to the office, and 15 to the sales. If the CEO, Stephanie, randomly selects an employee to tour a factory

Thirty percent of the time, a machine puts 50 white

Thirty percent of the time, a machine puts 50 white, 25 red, and 25 green jelly beans in a bag. The rest of the time, the same machine puts 30 white, 30 red, and 40 green jelly beans in a bag, The probability that a randomly chosen jelly bean from a randomly chosen bag is green is 0.28. Is this True or False?

negative binomial distribution

Find a simple algebraic relationship between the negative binomial probability P(x) = ((x-1)!/(n-1)!(x-n))*(P^n)(1-p)^x-n for x = n, n + 1, .. and the binomial probability for the probability of n successes in x trials.

Binomial probability to examines defective machines

Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random, a. what is the probability that exactly 3 items will be defective? b. what is the probability that less than 3 items will be defective? c. what is the probability that exactly 11 items will be non-defective?

Needing extra help with homework

I am having issues resolving the following and need extra help please: 1. If the probability that it will rain tomorrow is 0.26, what is the probability that it will not rain tomorrow 2. Find the probability of getting a number greater than 4 when a die is rolled one time 3. An apartment building has the following apartments

Probability of Member Lift Weights

I am having issues resolving some of my homework and need an extra help: 1. A jar contains only red marbles and green marbles. If a marble is selected at random from the jar, the probability that a red marble will be selected is 2/3. If there are 18 green marbles in the jar, how many red marbles are there in the jar 2. Find th

A restaurant probability question

Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal. Enumerate the sample space and then find the probabil

Probability calculation based on the classical definition.

(5.40) M&Ms are blended in a ratio of 13 percent brown, 14 percent yellow, 13 percent red, 24 percent blue, 20 percent orange, and 16 percent green. Suppose you choose a sample of two M&Ms at random from a large bag. What is the probability that both are brown? What is the probability that both are blue? What is the probabi

Probability: Oxnard University, Student ID Math Problem

(5.30) At Oxnard University, a student ID consists of two letters (26 possibilities) followed by four digits (10 possibilities). (a) How many unique student IDs can be created? (b) Would one letter followed by three digits suffice for a university with 40,000 students? (c) Why is extra capacity in student IDs a good idea?

Probability - CNP Bank Card Problem 1. Score each of these customers and estimate their probability of being profitable. 2. What is the probability that all three are profitable? 3. What is the probability that none of them are profitable? 4. Find the entire probability distribution for the number of profitable customers among this group of three. 5. Write a brief summary of your findings.

1. CNP Bank Card Before banks issue a credit card, they usually rate or score the customer in terms of his or her projected probability of being a profitable customer. A typical scoring table appears below. See attachment fot table The score is the sum of the points on the six items. For example, Sushi Brown is under 25 y

Statistics

In a study, serum cholesterol levels were measured for a large number of healthy males. The population was then followed for 16 years. Afterwards the men were divided into two groups: those who had developed coronary heart disease and those who had not. The distributions of the initial serum cholesterol levels for each group w

Statistics

Estimates for the prevalence of Alzheimer's disease provided by an observational study are listed below: Prevalence of Alzheimer's disease (cases per 100 individuals) Age-group Males Females 65-69 1.3 0.5 70-74 3.3 2.1 75-79 4.9 3.8 80-84 7.5 8.2

Probability of Publishing an Article

An article was published recently suggesting that people who exercise regularly can reduce their risk of major clinical events (e.g. diabetes, cardiovascular disease, stroke) by up to 50%. It is believed that only 30% of adult Americans exercise on a regular basis. Suppose that a sample of eight adults is analyzed. a) What

Statistics of Bladder Cancer and Death

Assume that the bladder cancer death rates in the USA in 2009 are estimated to be 0.48 deaths per 10,000 individuals. Using the US bladder cancer rate (above) as the standard (expected rate value), you are asked to investigate the number of deaths due to bladder cancer for 10,000 workers in a specific tire plant in 2009.

Probability

Suppose that infants are classified as low birth weight if they have birth weight 2500g, and as normal birth weight if have birth weight 2501g. Suppose that infants are also classified by length of gestation in the following four categories: <20 weeks, 20-27 weeks, 28-36 weeks, >36 weeks. Assume the probabilities of the di

Women's Heights Normally Distributed

Assume that women's heights are normally distributed with a mean given by u = 63.1 in, and a standard deviation of 2.9 in. a. If 1 woman is randomly selected, find the probability that her height is less than 64 in. __________(round to four decimal places) b. If 40 women are randomly selected, find the probability that th

Binomial random probability

Consider the following two binomial experiments (a) In a binomial experiment consisting of six trials, how many outcomes have exactly one success and what are these outcomes? (b) In a binomial experiment consisting of 20 trials, how many outcomes have exactly 10 successes?

Probability of People in Recession in America

Fifty percent of Americans believed the country was in a recession, even though technically the economy had not shown two straight quarters of negative growth (Business Week, July 30, 2001). For a sample of 20 Americans, make the following calculations: a. Compute the probability that exactly 12 people believed the country

Standard Normal Distribution

Question 1 Use Appendix Table for Normal Distribution to find area under Standard Normal Distribution curve to the left of z = 0.85 Answer 0.8023 0.6245 0.3524 0.0582 Question 2 Use Appendix Table for Normal Distribution to find area under

Normal Probability Honda Insight

Introduced in the 2000 model year, the Honda Insight was the first hybrid automobile sold in the United States. The mean gas mileage for the model year 2005 Insight with an automatic transmission is 56 mpg on the highway. Assume the gasoline mileage of this mileage is approximately normally distributed with a standard deviation

Probability Distribution of Gender Differences

• Begin your report to by first providing an overview of the database, such as a story about the characteristics with the types of variables included Discuss the following in your report • What is the distribution of individuals by gender? • What is the "length of sentence" distribution by gender? • What percenta

Step-by-Step Explanation: Distribution theory

** Please see the attached file for the complete problem description ** I need help understanding the problems attached. I need solutions along with explanations. Just solutions will not help me understand. Let the random variable Y_n have a distribution this is b(n,p). a) Prove that Y_n/n converges in probability p. This

Probability

The time required to complete a project is known to be normally distributed with a mean of 44 weeks and a standard deviation of 8 weeks. a) What is the probability that the project is finished in 40 weeks or fewer? b) What is the probability that the project is finished in 52 weeks or fewer? c) There is an 95 percent cha

Calculate the standard deviation of the returns.

1. Buxton Corporation is planning to invest in a security that has several potential rates of return. Using the following probability distribution of returns during different states of the economy, what is the expected rate of return on this investment? In addition, compute the standard deviation of the returns. Finally, briefly

Probability - normal distribution

1. If a fair coin is tossed 20 times then the probability of exactly 10 Tails is more than 15 percent. 2. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probabili

Normal distribution

Very difficult subject material for me. 1. Given a normal distribution with mean=100 and variance/S.D. = 10, what is the probability that a. X>75? B. X<70? C. X<80 or X>110? D. Between what two X values (symmetrically distributed around the mean) are 80% of the values? 2. A statistical analysis of 1,000 long-distance tele

math 5

** Please see the attached file for the complete problem description ** 1. Find the Expected Value, the Variance and the Standard Deviation for the random variable with the following probability distribution: (please see the attached file) 2. Calculate the following expressions with factorials: a) 5! b) 6!/4! 3. Us

Independence and covariance

This is a two part question. The first part is setting the average of two 'independent' dice rolls to be a random variable (RV). The expected value and variance are asked. The second part deals with the notion that just because two independent RV have no correlation, the opposite is not generally true. Independence and corre

Probabilities from written description

Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31% succeed. The probability that a climber is at least 60 years old is .04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is .005. (a) Find the probability od success, given that a climber is

Understanding probabilities in a given situation

Half of a set of the parts are manufactured by machine A and half by machine B. Four percent of all the parts are defective. Six percent of the parts manufactured on machine A are defective. Find the probability that a part was maufactured on machine A, given that the part is defective. Explain your reasoning clearly. Please