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Probability

Probability Distribution: Cards, Cummulative Distribution

Construct the probability distribution for the value of a 2-card hand dealt from a standard deck of 52 cards (all face cards have a value of 10 and an ace has a value of 11). a. What is the probability of being dealt 21? b. What is the probability of being dealth 20? c. Construct a chart for the cumulative distribution fun

Find mean and standard deviation from probability distribution

Dogs Households 0 1327 1 402 2 162 3 47 4 28 5 11 (a) Use a frequency distribution to construct a probability distribution x P(x) 0 1 2 3 4 5 Round to the nearest Thousandth as needed Dogs 0 1 2 3 4 5 Households 1327 402 162 47 28 11 (b) Find the mean of the probability distribution U =

Probability: Problem and Solution

Based on past experience, the poise department of the city of laurel knows that 50% of the automobiles reported stolen are recovered. In a month in which 30 automobile are stolen, what is the probability that a. 13 or more of the stolen automobile will be recovered. b. Less than 22 automobiles will be recovered. c. Between

Binomial Probability: Expected Value and the Standard Deviation

In the past few years out sourcing over seas has become more frequently used than before by U.S. companies. However, out souring is not with out problems. A recent survey indicates that 20% of the companies that outsource over seas use consultant. Suppose 7 companies that outsource are selected randomly (use formula) a. What

Probability Distribution for a New Boutique

A clothing store owner opens a new boutique and is working on a 3-day forecast of sales during the grand opening of the boutique. The owner determines that there is a 40% probability that customers will visit the store and make a purchase, which means 60% will visit the store and not make a purchase. How do you determine the pro

Gambling Odds

The State of Ohio plays a daily (except Sunday) three digit lottery, where the player chooses any three numbers, 1 thru 10, three different times. In other words, the player chooses a number value between 000 and 999. If the state, to make things more interesting, ads a fourth ball to be drawn, one red out of ten balls, how does

Probability problem of daily lotteries

The State of Ohio plays a daily (except Sunday) three digit lottery, where the player chooses any three numbers, 1 through 10, three different times. In other words, the player chooses a number value between 000 and 999. If the state, to make things more interesting, ads a fourth ball to be drawn, one red out of ten balls, how d

Opportunity-loss table

The following is an opportunity-loss table. The probabilities for the states of nature A, B, and C are 0.3, 0.5, and 0.2, respectively. If a person were to use the expected opportunity loss criterion, what decision would be made? A. Alternative 1 B. Alternative 2 C. Alternative 3 D. State of Nature C E. State

Statistics

Performance/Sector BioTech IT Positive 23% 17% Negative 7% 53% The table above displays data on the composition and performance of the Massachuse

Using a theorem to solve a probability problem

Please see attachment for the full question. A random sample of size n is drawn without replacement from an urn containing r red chips and w white chips. Define the random variable X to be the number of red chips in the sample. Use the summation described in Theorem 3.5.1 (see attachment) to prove that E(X) = rn/(r + w)

Statistics random variables

Cellophane that is going to formed into bags for items such as dried beans or bird seed is passed over a light sensor to test if the alignment is correct before it passes through the heating units that seal the edges. If the alignment is too bad, the process is stopped and an operator adjusts it. These stops occur ramdomely and

Random Variables

Your company bids for two contracts. You believe the probability that you get contract #1 is 0.8. If you get contract #1, the probability that you also get contract #2 is 0.2, and if you do not get contract #1 the probability that you get contract #2 will be 0.3. a. Are the outcomes of the two contract bids independent? b. F

Random Variables and Probabilities

A marketing agency has developed three vacation packages to promote a timeshare plan at a new resort. They estimate that 20% of potential customers will choose the day plan, which does not include accommodations; 40% will choose the overnight plan, which one night at the resort; and 40% will choose the weekend plan which include

Probability of a ball drawn from an urn

An urn contains five balls numbered 1 to 5. Two balls are drawn simultaneously. (a) Let X be the larger of the two numbers drawn. Find p_x(k). (b) Let V be the sum of the two numbers drawn. Find p_v(k). Repeat the question for the case where the two balls are drawn with replacement.

Probability of a white chip

Urn I contains five red chips and four white chips; urn II contains four red and five white chips. Two chips are drawn cimultaneously from urn I and placed in urn II. Then a single chip is drawn from urn II. What is the probability that the chip drawn from urn II is white?

Probability: Keno

Please show complete solutions/explanations. Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to fifteen. The "caller" announces twenty winning numbers, chosen at random from the eighty. The amount won depe

Probability: Light Bulbs

Two lighting systems are being proposed for an employee work area. One requires fifty bulbs, each having a probability of 0.05 of burning out within a month's time. The second has onehundred bulbs, each with a 0.02 burnout probability. Whichever system is installed will be inspected once a month for the purpose of replacing b

Probability: Doomsday Airlines

Doomsday Airlines ("Come Take the Flight of Your Life") has two dilapitated airplanes, one with two engines, and the other with four. Each plane will land safely only if at least half of its engines are working. Each engine on each aircraft operates independently and each has probability p = 0.4 of failing. Assuming you wish

Generating Geometric distributions using induction

I need assistance with the attached problem. It requires me to show that a given algorithm generates the geometric distribution. Please see the attached document for details. Show that the following algorithm is valid for generating X -- geom(p) 1. Ler i=0. 2. Generate (please see the attached file) independent of any

Probability for Apartment Building

Please complete answer/steps/explanation for the following: 2.7.11. An apartment building has eight floors. If seven people get on the elevator on the first floor, what is the probability they all want to get off on different floors? On the same floor? What assumption are you making? Does it seem reasonable? Explain.

Probability of winning $10

A fast-food chain is running a new promotion. For each purchase, a customer is given a game card that may win $10. The company claims that the probability of a person winning at least once in five tries is 0.32. What is the probability that a customer wins $10 on his or her first purchase?

Poisson Distribution and MVUE.

1. Let -- be a random sample from the Poisson distribution with pmf --. Find the MVUE of --- using the following three steps. a) Find the complete sufficient statistic Y_1 for --. b) Show that -- is an unbiased estimator of -- where I is the indicator function. c) Find the MVUE of -- by the conditional expectation e(T/Y_1).

Random variable with exponential distribution

Please see the attachment for the full problem description. 1. A single observation of a random variable having an exponential distribution with ---- If the null hypothesis is accepted if and only if the observed value of the random variable is less than 3. a) Find the probabilities of Type I and Type II errors. b) W

probability for telecommunication problem

You are assigned to be part of a team of three analysts of a global management consulting company where of the entire work force of analysts. 55% have had no experience in telecommunications, 32 have had limited experience (less than 5 years) and the rest have had extensive experience ( 5 years or more). You and two other an

Probability of White Blood Cell Count Per Blood in an Adult

Workers at a large toxic clean up project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then m= 7500 and o= 1750. A random sample of n=50 workers from the toxic cleanup site were giv

Pepsi: probabilities, sensitivity analysis, decision tree

Please construct the decision tree for the problem attached, insert the probabilities and values as given in the scenario (make sure to include in the tree the possibility that the one-month forecast is favourable or not), roll back the tree, and determine the course of action that PEPSI should take. Perform a sensitivity ana

Probability problems regarding Facebook

Facebook reports that 70% of their users are from outside the United States and that 50% of their users log onto the Facebook everyday. Suppose that 20% of their users are United States users who log on every day. 1. What percentage of Facebook users are from the United States? 2. What type of probability is the 20% mentione

Probabilities: Online Police Department, Excite Poll

3. The Online police department was asked by the mayor's office to estimate the cost of crime to citizens of Online. The police began their study with the crime of identity theft, taking a random sample of files (there is too much crime to calculate the statistics for all the crimes committed). They found the average dollar lo

Age Distribution in the United States: Question

The following table gives the approximate age distribution in the United States from the 2000 census. Age Population 19 & under 29% 20 - 34 21% 35 - 59 34% 60 - 84 15% 85 & over 1% a. Does the dat