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Determine c such that f(x) is the legitimate probability density function. What is the expected total cost of medical expenses per individual? Find E(X).
Given a randomly chosen product was found to be defective, which machine is it most likely produced from? Describe the probability/reasoning.
In order to decide whether he can employ the empirical rule to estimate the letter grades (A, B, etc.), we need to see the histogram of the original data.
If yellow-bellied sharks always hunt prey that are 0.25 times as large as they are, what would the correlation between the sizes of sharks and their prey be?
In a final examination the mean was 37 and median was 60. The minimum and maximum scores are zero and hundred respectively. Do you expect the distribution of the scores to be symmetrical or skewed?
A professor teaches a class on introductory statistics with 200 students. He reports the following data on the final exam:
In a certain company the following information is available upon salary of male and female employees:
A refrigerator manugacturer claims that mean life of its refrigerators is greater than 13 years. You are asked to perform a hypothesis test to test the claim.
The increase or decrease in price of stock between the beginning and end of trading day is supposed to be equally likely random event. Determine the probability that the stock will show an raise in
Each year, ratings are compiled regarding the performance of new cars during the first 90 days of use. Assume that the cars have been categorized according to whether car needs warranty related repa
How do you find a sufficient statistic for variance from one observation obtained from normal distribution of mean 0?
The increase or decrease in the price of a stock between the beginning and the end of a trading day is supposed to be equally likely random event. Determine the probability that the stock will show
What are the mean and standard deviation of the number of on-time arrivals? Let n=6 The standard deviation of the number of on-time arrivals is?
Based upon past experience, it is supposed that the number of flaws per foot in rolls of grade 2 paper follows poisson distribution with mean of 1 flaw per 10 feet of paper (.1 flaw per foot).
Let X be random variable having exponential distribution with mean 1. Employ the method of cumulative distribution function (CDF) to find out the probability density function of random variable Y=2e
In the following problem, check that it is appropriate to employ the normal approximation to binomial. Then employ the normal distribution to determine the requested probabilities.
The Greater Pittsburgh Area Chamber of Commerce desires to determine the mean time workers who are employed in the downtown area spend getting to work. A sample of 15 workers reveals the following n
It is determined that .60 percent of callers to the Customer Service department of Dell Inc. will receive a busy signal. What is the probability that of today's 1,200 callers at least 5 received a b
For the most current year available, the mean annual cost to attend private university in the United States was $20,082. Suppose the distribution of annual costs follows the normal probability distr
The personnel director of the large corporation desires to study absenteeism among clerical workers at corporation's central office during the year. A random sample of 25 clerical workers reveals th
A market researcher for consumer electronics company desires to study the television viewing habits of residents of particular area. A random sample of 40 respondents is chosen, and each respondente
A small business owner finds out that her revenue throughout the next year should be approximately normally distributed with mean of $425,000 and standard deviation of $130,000. Determine the
The lodge at the ski resort has 50 suites. In the winter months, the occupancy rate for the suites is approximately 90%. What is the probability that 45 or fewer rooms are occupied on a given day?
Assume that the lifetime of batteries in flashlight is exponentially distributed with mean of 35 hours. Determine the probability that the batteries will last between 25 and 30 hours?
Assume a preliminary screening is given to prospective student athletes at a university to determine whether they would qualify for a scholarship. The scores are approximately normal with a mean of