A company just began manufacturing a new high-efficiency model of light bulb. A quality control engineer randomly selects 1500 of these bulbs from the most recent batch produced and tests them to be sure they work. Out of the 1500 tested, 29 would not turn on. Based on these results, what is the probability that a randomly selec
1. A standard deck of cards contain a total of 52 cards, 26 of which are red and 26 of which are black. A standard die has six sides that are equally likely to come up and are numbered from 1 to 6. A game is played where a single card is drawn from a standard deck and the color is recorded. A standard die is also rolled and the
1. EKA manufacturing company produces Part # 2206 for the aerospace industry. Each unit of part # 2206 is sold for $15. The unit production cost of part # 2206 is $3. The fixed monthly cost of operating the production facility is $3000. How many units of part # 2206 have to be sold in a month to break-even? 2. A compa
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)?
In this the anniversary of the sinking of the Titanic, it is interesting to look at the distribution of those who survived, and those who died. The table below describes the number of men, women and children who were passengers on the Titanic. The table lists both the number who survived as well as the number in each category wh
Please assist to state the basic rules of probability and apply these rules to events of interest. Also assist with the set up a contingency table for categorical variables and solve for the probability of simple, joint and conditional events. Identify and explain the different uses of the basic graph types. See the
Do you use probability in your profession or real life? You most likely do. For example, chance of rain tomorrow is 27%. We hear similar probabilities in the media all the time. Similar probabilities could be found in other professions. Using a search engine, find an example of probability that is used in your chosen profession
Data from a National Health Survey show that men's average weight is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds. a. If a man is chosen at random, what is the probability that his weight is greater than 180 pounds? b. If 100 men are randomly selected, what is the probability that th
I'm trying to calculate these probabilities given the top row as reference to go off of. I can figure out the first one as it 1- it's compliment. I don't need the answers, I just would like to know how each is calculated to find the answers. There has to be a basic formula for this? Thanks! P(A) = 0.1, P(B|A) = 0.39, P(B?A ?
1. The foreman of a bottling plant has observed that the amount of soda pop in each 32 ounce bottle is actually a normally distributed random variable with? = 32.2 ounces and? = .3 ounces.  a.     Find the probability that if a customer buys one bottle, it will contain at least 32 ounces.  z = (32-32.2) / .3 = -
Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls. If he calls on four potential clients, what is the probability that he makes exactly 3 sales? What is the probability that he makes exactly 4 sales?
5. A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with a mean of 30% and a standard deviation of 10%. a. Find the probability that the return will exceed 55%. b. Find the probability that the return will be less than 22% 6. The life expe
Please help with following question: During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn that the numb roy calls per minute can be described by the Poisson distribution. Find the probability that in the next minute, the number of calls arriving will be 5, 4, 3, 6, le
It has been conjectured by the U.S. Census Bureau that "approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens". Suppose that in a national random sample of 70 foreign-born people who live in the U.S. that exactly 32 of them are not naturalized citizens. Select the best answer below. Choose
The amount of time a bank teller spends with each customer has a population mean mx = 3.1 minutes and population standard deviation sx = 0.4 minute. a) What is the probability that for a randomly selected customer the service time would exceed 3 minutes? b) If many samples of 64 were selected, what are mean and standard e
I have 100 items of a product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3 a) find the mass function, mean and variance of the number of items sold. b) find the mass function, mean, and variance of the amount of demand that will be unfilled because of the lack of stock.
7) The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age. Determine the following using the table: a. To what age may a female of age 60 expec
Imagine you are the CEO of a local bank whose credit card holders engage in 1 billion credit card transactions per year; that the likelihood of a fraudulent transaction is 2%; that the average transaction purchase value for all transactions is equal to $38.50; and that the bank bears the full cost of all fraudulent transactions
Nw Airlines is studying its service from Atlanta to Chicago. Historical data shows that the mean number of passengers per flight is 110. If the number of passengers flying NW Airlines is normally distributed and with a variance of 96 passengers; a. What is the probability that a randomly selected flight will carry between 100
1) For the following questions, would the following be considered "significant" if its probability is less than or equal to 0.05? a.Is it "significant" to get a 12 when a pair of dice is rolled? b. Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. Is it "significant" for a schoo
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
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 =
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
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
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
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
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
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
What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?
Performance/Sector BioTech IT Positive 23% 17% Negative 7% 53% The table above displays data on the composition and performance of the Massachuse