### Suppose a certain test detects cancer among people ... [See the attached question File.]

Suppose a certain test detects cancer among people ... [See the attached question File.]

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Suppose a certain test detects cancer among people ... [See the attached question File.]

A manufacturer of hard drives knows that the average life of a hard drive is five years with a standard deviation of one year. If he only wants to warranty the drive for three years, what proportion of hard drives should he expect to replace? Assume the normal distribution.

If a= 0.05, what is the probability of making a Type I error? a.0 b.1/20 c. 19/20 d. 20/20

Two-liter plastic bottles used for bottling cola are shipped in lots of 100. Suppose the lots are 5 percent defective. Some bottles leak, some are too small, and so forth. a. In the sample of 100, how many of the bottles would you expect to be defective? What is the standard deviation? b. Tell why this situation meets the

The Food King Chain employs more than 3,000 people. The worker's ages are approximately normally distributed, with a mean of 31 years and a standard deviation of 4.3 years. The company is thinking of introducing a health care package, and its insurance company wants to sample 31 workers before quoting a price. Calculate the prob

The heights of women at a large university are approximately bell-shaped, with a mean of 65 inches and standard deviation of 2.5 inches. Use this information to answer the following questions: a) What is the probability that a randomly selected woman from this university is 67.5 inches or taller? b) What is the probability

A person claims to have ESP (extrasensory perception). A coin is tossed 16 times, and each time the person is asked to predict in advance whether the coin will land heads or tails. The person predicts correctly 75% of the time (i.e., on 12 tosses). What is the probability of being correct 12 or more times by pure guessing?

The manager of a car wash receives pricing schedule (shown below) from the vendor who supplies soap- and a promise of a 25% shorter lead time for deliveries. Currently, lead time is 4 days. Annual usage of soap is 4500 gallons. The car wash is open 360 days a year. Ordering Costs is $ 30 per order and annual holding costs are $

Determine the value of c that makes the function f(x,y) = c(x+y) a joint probability density function over the range: x greater than 0 and less than 3 and x less than y less than x+2 a) P(X<1, Y<2) b) P(1<X<2) c) P(Y>1) d) P(X<2, Y<2) e) E(X) f) V(X) g) Marginal probability distribution of X h) Conditional probabilit

Expectation and variance of a random variable Let X be a random variable with the following probability distribution: ... [See the attached Question File.]

Question 1. An audit conducted by the St. Aleanis Hospital has determined that 15% of all patient bills contain an error of one form or another. After spending considerable effort to improve the hospital's billing process, the administrators are convinced that things have improved. They believe that the new error rate is somewhe

A random variable Y is uniformly distributed over a range of 0 to 2*pi. Another random variable X is related to Y by X=cos(Y). Find the probability density function of X.

Problem 2. A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50. If we select a crew member at random, what is the probability the crew member earns: a. Between $20.50 and $24.00 per hour? b. More than $24.00 per hour?

Ten percent of the population is left handed. A class of 100 students is selected. Convert the binomial probability P(x<12) to a normal probability by using the correct continuity.

1. During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour. In a 2 hour period, what is the probability that 2 boats arrive? Please provide the answer in the form 0.xxxx or .xxxx. 2. A researcher wants to simulate sunny and rainy days in her town for a 3

I have been working with M&M's throughout this classes course. From the data I gathered I developed histograms and calculated descriptive statistics. Based on this data I then can make judgments on what I can expect to see when I buy packages of M&M's at the store. To do this I calculate what is called confidence limits

17. A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10%. Consider a six-month European call option with a strike price of $105. The risk-free rate is 8%. What is the risk-neutral probability of a 10% rise in both quarters? a. 0.10 b. 0.24 c. 0.3

5. The probability that a randomly selected computer will malfunction when a student has an internet class assignment due is 0.15. What is the probability ... 6. Find the mean, variance, and standard deviation for the number of computer malfunctions in a class of 9 students as described in problem 5. 10. IQ scores are norma

1. A Gallop Poll was conducted in March 2008 on what drivers thought the peak gas price per gallon would be for 2008 by interviewing 1025 randomly selected American adults. ... 2. For the survey in #1, what are the odds in favor that a person believes gas prices per gallon will peak above $4.00 per gallon? ... [See the attac

Probability Aczel & Sounderpandian (sixth ed) Problem 2-90 SwissAir maintains a mailing list of people who have taken trips to Europe in the last three years. The airline knows that 8% of the people on the mailing list will make arrangements to fly SwissAir during the period following their being mailed a brochure. In

10. Wildlife Hummingbirds Selasphorus sasin is the scientific name for what is commonly called "Allen Hummingbird" This beautiful hummingbird lives on the west coast of the United States and is named C.A. Allen (1841-1930) , who studied these birds extensively. Let x be a random variable that represents the incubation time for

Please help with the following problems. 3. Use this table to answer questions #3 through #5. Some students were asked if they carry a credit card. Here are the responses. Class______ | Credit Card Carrier | Not a Credit Card Carrier | Total Freshman______________33_______________________27________________60 Sophomore____

The president of an agency specializing in public opinion surveys claims that approximately 70% of all people to whom the agency sends questionnaires responds by filling out an returning the questionnaire. Four such questionnaires are sent out. Let r be the number of questionnaires that are filled out and returned. What is t

1. On average, 40% of U.S. beer drinkers order light beer. (5 points) a. What is the probability that none of the next eight customers who order beer will order light beer? b. What is the probability that one customer will? c. What is the probability that two customers will? d. What is the probability that fewer than three w

1. Some normal probability distributions may have the same mean, but their standard deviation may be different True or False 2. As the sample size increases, the standard error of the sample mean increases. True or False 3. Which of the following statement(s) about the normal probability distribution is/are true?

Suppose we randomly select 5 cards from an ordinary deck of playing cards. We might ask: What is the probability of selecting AT MOST 2 Aces? At least two Aces?

I need some guidance in how to calculate probabilities without knowing the std deviation. Population = 3005 calculate P(x-bar > 50.8) for sample size of n = 253 calculate P(x-bar > 50.6) for sample size of n = 134 calculate P(x-bar > 51) for sample size of n = 119 Then combine the two probabilities 51 a

I have 10 multiple choice questions. I have marked what I think are the answers. I would like to know how to get the answers (using what method/equation) etc and correct those that are wrong. If you would please present the "how" in an easy to understand, simple way. This is an introductory statistics course in a Masters pro

1. A financial analyst estimates that the probability that the economy will experience a recession in the next 12 months is 20%. She also believes that if the economy enters a recession, the probability that her mutual fund will increase in value is 20%. If there is no recession the probability that the mutual fund will increase

25) Money magazine reported that the average price of gallon of gasoline in the United States during the first quarter of 2001 was $ 1.46. Assume the price reported by Money is the population mean, and the population standard deviation is $ 0.15. a) What is the probability that the mean price for a sample of 30 gas sta