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
Speedy copy center located on Capitol Hill in Washington D.C. has three coin operated copying machines used primarily by U.S. Senators to make copies of their confidential diaries and illegal agreements with foreign governments and corporations. The owner, Hugh Makeham, is a former Xerox repairman and can fix a broken machine w
A number of years ago, there was a popular television game show called Let's Make a Deal. The host Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and would then be offered the opportunity to risk those
An insurance agent has appointments with four prospective clients tomorrow. From past experience, the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probablitlity, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients?
In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 78 percent of the males attended college. a management trainee is selected at random, what is the probability that the person selected is a female who did NOT attend college? What is the probab
The project below involves using a computer simulator to virtually flip multiple coins. First, we'll flip 4 coins 20 times, then we'll flip 4 coins 10000 times. I have taken screenshots of my results with the coin-flipper (attached) but need some help with the questions. Questions for flipping 4 coins 20 times: 7) Base
18. Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise. (a) What is the probabi
A number of years ago, there was a popular television game show called Let's Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and then would be offered the opportunity to risk that
Suppose you have a coin and you want to test two hypotheses: H0: the coin is fair (that is, you get a head with probability p = 0.5 and a tail with the same) and H1: the coin is unfair and has probability p > 05 for a head and (1-p) for a tail. Assume p is known. Explain in detail what the optimum Neyman = Pearson test is fo
The accounting department at Weston Materials Inc a national manufacturer of unattached garages, report that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. a. Determine the z values for 29 and 34 h
EBook is a digital book provider that sells their downloaded product through both Anason and Bairnes-Nolb. Anason requires that EBook use a different format than they use for Bairnes-Nolb. EBook keeps records that show the number of unacceptable downloads done by each format. Based on past data, the probability that an EBook ca
According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $63,091 and the median household income was $50,054 (U.S. Census Bureau, www.census.gov, September 2011). The variability of household income is quite large, with the 85th percentile (i.e., top 15%) approximately equal to $100,000, a
Currently, quarters have weights that are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g. A vending machine is configured to accept only those quarters with weights between 5.550 g and 5.790 g. a) If 280 different quarters are inserted into the vending machine, what is the expected number of
A Boeing 767-300 has 213 seats. When someone buys a ticket for a flight, there is a 0.0995 chance that the person will not show up for the flight (based on data from an IBM research paper by Lawrence, Hong, and Cherrier). A ticket agent accepts 236 reservations for a flight that uses a Boeing 767-300. Find the probability that
A standard slot machine has three reels. The first reel has 3 walnuts, 7 cherries, 3 oranges, 5 lemons, 1 bell, and 1 jackpot bar. The second reel has 7 cherries, 6 oranges, 1 lemon, 3 bells, and 3 bars. The third reel has 4 walnuts, 7 oranges, 5 lemons, 3 bells and 1 bar. The payoffs are Reel 1 Reel 2 Reel 3 Payoff in Coi
Please discuss if reliability and/or validity are mutually exclusive, mutually dependent, etc. Provide an example that clearly identifies your position.
W1A4 Sample Questions Determine if this is an example of probability or statistics: If a red, blue, and green M&M are placed into a bag, we have a 1/3 chance of reaching in and selecting the red M&M. Determine if this data is qualitative or quantitative: Waist size Determine if this study is experimental or observational:
The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of courses taken by randomly selected undergraduate student. (Please refer to attached document to view the table and note that the questions are written in the excel file as well ) Answer the following: (a)
Question: The table below shows the probability distribution for the daily demand of toasters at a store. DEMAND PROBABILITY 0 0.05 1 0.1 2 0.25 3 0.25 4
a. In a class roster of 18 students, what are the chances that there are at least 2 people with the same birthday (same day, not same year)? Given a birthday of July 29th, please provide a detailed analytical estimate of the likelihood that this will happen. b. A street performer approaches you to make a bet. He shows you th