1. An airliner carries 50 passengers and has door with a height of 70in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8in. a. If an male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is _______ b. if
Share 1 real-world binomial distribution situation and 1 real-world Poisson distribution situation. Be sure to explain why each example is defined as binomial or Poisson. How would you characterize the difference between the two types of distributions?
The characteristics of an industrial filling process in which an expensive liquid is injected into a container was investigated. The quanitity injected per container is approximately normally distributed with mean 10 units and standard deviation .2 units. Each unit of fill costs $20 per unit. If a container contains less than
Decide whether the normal distribution can be used to approximate the binomial distribution. If it can, use the z-test to test the claim about the population proportion p for the given sample statistics and level of significance a. ^ A. Claim: p
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. Is this a probability distribution? Expl
The accompanying table describes results from eight offspring peas. The random variable x represents the number of offspring peas with green pods. Table Probabilities of Numbers of Peas with Green Pods Among 8 Offspring Peas x(Number of Peas with Green Pods) P(x) 0
Recently, a regional automobile dealership sent out fliers to perspective customers, indicating that they had already won one of three different prizes: a 2008 Kia Optima valued at $15,000, a $500 gas card, or a $5 Wal-Mart shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealer
3.36 The national institute for standards and technonoly mandates that for every 100 items scanned through the electronic checkout scanner at a retail store, no more that 2 should have an inaccurate price. A recent study of the accuracy of checkout scanners at Walmart stores in California was conducted. Of the 60 Walmart stores
Consider the experiment of drawing two cards from a deck and adding their values (with ace = 1). a. Describe the outcomes of this experiment. List the elements of the sample space. b. What is the probability of obtaining a total of 5 for the two cards? c. Let A be the event "total card value is 5 or less." Find P(A) and P(A
A TiW layer is deposited on a substrate using a sputtering tool. The following table presents data, in Angstroms, from 20 subgroups of n = 4. (a) Plot an x-bar and R control chart for this process. Performs runs tests to Western Electric rules 1 through 5 in Table 5.1, p. 197 of the textbook. Is the process in control? Revis
1. When transmitting messages from a point A to a point B, out of every 40 messages 6 need to be corrected by applying error correcting codes. What is the probability that in a batch of 200 messages sent from A to B, there will be between 38 and 42 messages that will have to be corrected. 2. The probability of an event A occu
Can standard distrubution be used to describe the data set? See attached. Note: (c) 3(j) -- This should have asked you for Q=800 cvs in April (not January) since I didn't give you any January data. Further, my answers were for a January set of data that I was playing with. For the April data (your HW), I think the Ans: P=
1. Table 3.5 - Prevalence of Alzheimer's disease (cases per 100 population) Age group Males Females 65-69 1.6 0.0 70-74 0.0
The following table gives the number of U.S. families, in thousands, with pet dogs, pet cats, and pet birds, by size of family. (Source: Statistical Abstract of the United States 2000, 120th Edition.) Family Size One Member Two Members Three Members Four or More Pet Dog 4,120
1. Compute the number of ways you can select n = 4 elements from N = II elements. There are _________ways to select 4 elements from 11 elements. (Simpli fy your an swer.) 2. A magazine reported on an independent study of postal workers and violence at post offices. In a sample of 13,000 postal workers, 910 were physically
Longo, J. (2009). The relationships between manager and peer caring to registered nurses' job satisfaction and intent to stay. International Journal For Human Caring, 13(2), 26-33. The purpose of the analysis is: 1.Relationship between manager behavior with staff nurses' job satisfaction r=.622, p=.000 2. Relationship bet
An investor estimates that there is a 1 in 10 chance that a stock purchase will lose 20% of its value, a 2 in 10 chance it will break even, a 4 in 10 chance it will gain 15% and 3 in 10 chance it will gain 30%. What is the expected return. Please show work.
Please help me solve this problem and explain how you get to the answer. Thank you. A local dealership currently has 36 used GM, Ford, and Toyota vehicles on the lot. The following data are available: - Twenty six vehicles are cars - Eleven vehicles are GM - Fifteen vehicles are Fords - Three vehicles are both Toyotas an
Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X = 1) = 0.2, P(X = 2) = 0.3, P(X = 3) = 0.3, and P(X = 4) = 0.1, A) Find : P(X > 3 3|X > 2) B) Find the expected value of X C) Find the standard deviation of X
A discrete probability is the likelihood that certain discrete data will occur. What is discrete data? Consider a scenario where you could use a discrete probability to predict the likelihood of an event. How would you determine the probability? How could you use this to support your position in a proposal?
1. Support that the service rate to a waiting line system is 10 customers per hour (exponentially distributed). Analyze how the average waiting time is expected to change as the arrival rate varies from two to ten customers per hour (exponentially distributed). 2. Suppose that a car rental agency offers insurance for a week
Historically, 70% of your customers at Rodale Emporium pay for their purchases using credit cars. In a sample of 20 customers, find the probability that a. Exactly 14 customers will pay for their purchases using credit cards. b. At least 10 customers will pay for their purchases using credit cards. c. At most 12 customers
Pharmacies continually monitor their prescription filling process. A local pharmacy has noted that the time to fill a prescription for a generic antibiotic is normally distributed, with a mean of 13.3 minutes and a standard deviation of 2.8 minutes. a. Find the probability that a prescription for a generic antibiotic takes a
I need to know how to use the formula to answer these questions. The time needed to drive from town A to town B is normally distributed with a mean of 180 minutes and standard deviation of 20 minutes. What is the probability that a person will drive from town A to town B in i) three hours or more, ii) in less than 180 minut
1. The female instructors at a large university recently lodged a complaint about the most recent round of promotions from assistant professor to associate professor. An analysis of the relationship between gender and promotion was undertaken which produced the joint probabilities in the following table. Promoted Not
1. Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week. a) Find the probability that the site gets 10 or more hits per week. b) Determine the probability that the site gets 20 or more hits in two weeks 2. The random variable X is exponentially
Airplane Safety: Suppose that 62% of all adults think that airplanes would be safer places if pilots carried guns. An opinion poll plans to ask an SRS of 1009 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if pilots carried guns will vary if we take many samples from this same
1. A box contains four tickets, one marked with a star and the other three blank. One draw is made from this box at random. a. What does "at random" mean? b. What is the random variable in this experiment? c. Write the probability model corresponding to this random variable. Explain your answer. Also verify t
A particular product is known to have an exponential failure time distribution with a mean of 12 months. a. Find the probability it will fail in less than 9 months. b. What is the reliability at 15 months? c. Determine and graph the hazard rate for this product.
1. According to a Gallup Poll conducted March 5-7, 2001, 52% of American adults think that protecting the environment should be given priority over developing US energy supplies, 36% think developing energy supplies is more important, and 6% believe the two are equally important. The rest have no opinion. Suppose that a sample o