Suppose that x is a binomial random variable with n = 5, p = 0.2, and q = 0.8. (a) For each value of x, calculate p(x), and graph the binomial distribution. (Round final answers to 5 decimal places.) p(0) = , p(1) = , p(2) = , p (3) = , p(4) = , p(5) = (b) Find P(x = 3). (Round final answer to 5 decimal pla
1. The difference between two numbers is twelve. Three times the smaller number is four less than twice the larger number. Find the smaller number. 2. John has $20,000 to invest. As his financial consultant, you recommend that he invest in Treasury Bills that yield 5%, Treasury bonds that yield 7%, and corporate bonds that yi
The manager of a small business receives a shipment of five hard drives. Three hard drives are good and 2 are defective. If a computer repair shop purchases 3 of these stock of hard drives from the small business and the selection was made at random: 1. List the elements of the sample space S using the letters G and D for g
Suppose you manage Tennessee Grilled Pork, a fast food restaurant specializing in pork sandwiches and pork chops on a stick. You have decided to build a new restaurant and have 2 possible site locations (Site 1 and Site 2). Three groups of people make independent recommendations on site preference: the local management team, the
Suppose you, as manager of Tennessee Grilled Pork, will submit proposals for a small business loan and a city business grant to help fund the building of the new location you submitted to the management teams. The probability of acquiring the small business loan is .79 and the probability of obtaining the city business grant is
1. Find the percentage of the total area under the standard normal curve between the given z-scores. a) Z=.64 and z =2.11 b) Z= -1.63 and z = -1.08 c) Z= - 2.91 and z = -.51 2. Find a z -score satisfying each of the given conditions a) 1% of the total area is to the left Z b) 25% of the total area is to the rig
If you are asked to calculate the probability that a randomly selected employee's expenditure is exactly $5, what will be your answer? Why? Will your answer be the same for any individual expenditure? Assume that population of all employee expenditures follow a normal distribution. Could you set up an equation to find the z
See the attached file. 1. Describe the following variables as quantitative or qualitative, and describe the scales of measurement. A.)The distance a student commutes from home to the Berkeley campus. B.)The rating of a stock as "strong buy," "buy," "hold," or "sell." C.)The percentage of alcohol (in volume) i
1. For each of the experiments described, let x determine a random variable and use your knowledge of probability to prepare a probability distribution . Use a tree diagram. Two dice are rolled and the total number of points is recorded. 2. According to the Web site of Mars, the makers of M&M'S plain chocolate candies, 2
1. A fair die is rolled 2 times. Let A be the event that the outcome of the first roll is an even number. Let B be the event that the outcome of the second roll be less than 2. a. What is the probability that the outcome of the second roll is less than 2 given that the first roll is an even number? b. Are A and B independ
The time required to complete a certain construction project follows a normal distribution with a mean of 43 weeks and a standard deviation of 3.7 weeks. Use this information to answer questions 1 through 3. 1. What is the probability of the completing the project in no more than 48 weeks? 2. What is the probability of t
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