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If an exercise scientist wants to estimate the proportion of American adults who exercise for 30 minutes three or more times per week. He wants to construct a 90% confidence interval with a margin o
The AlphaCor Company experiences some type of failure on its computer network on average once every 4 hours. Assume that each failure is independent of all other failures and no two failures occur
Assume that the times between the birthday messages are independent. a) What is the probability the next posting takes 15 minutes or longer to appear?
What is the expected return of this asset? Enter answer in percents, accurate to two decimal places.
You want to make an average rate of return of 8.2% on your money. An acquaintance approaches you for a one-year loan. You think he's a pretty decent fellow, but estimate that there's a 1.9 % chance
Find the mean and standard deviation for the number of times this letter will be found on a typical page of 3300 characters.
The time, T, between emissions radioactive emissions has an eponential distribution with a mean of 4 seconds between emissions.
Find the mean and the standard deviation for the number of correct answers for such students. Would it be unusual for a student to pass by guessing a getting at least 5 correct answers?
Suppose z is standard normal random variable. Calculate the following possibilities.
A sample of 850 people resulted in a confidence interval estimate for the proportion of people who believe that the Fed. Gov.'s proposed tex increse is justified is between .14 and .20. Based on thi
The Rayleigh probability density function is a single parameter probability density function and is important as a model for wind speed, and for example is used in estimating energy recovery from a
Use the fact that the standard normal distribution integrates to 1 to evaluate the following integral. I.e., use:
Golfweek reported in 2003 that the driving distance for the top 100 golfers on the PGA tour is between 287.7 and 310.6 yards. Assume that the driving distance is uniformly distributed over this inte
A club with 31 members is voting on a proposal. A group of 4 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 42% in favor of th
Use a ruler to measure the thickness of a single page of the text. awhich unit of measurement did you use & why?
A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at
The AlphaCor Company experiences some type of failure on its computer network on average once every 4 hours. Assume that each failure is independent of all other failures and no two failures occur a
Lily estimates that her time to fall asleep each night is approximately exponentially distributed. It takes her an average of 30 minutes to fall asleep.
The drug is administered to a random sample of 10 patients. What is the probablilty that the average time before it is effective for all 10 patients is 35 minutes or less? **Show All Work
The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, whered is the amount of corrosion on
Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 is less than and equal to 1. Find the a) marginal density of X and b) the conditional density of Y given X = x.
Test to see if the variances are the same: give the null and alternate hypotheses; then the test statistic and critical value; finally decide if you accept or reject this null hypothesis at the 5% l
A manufacturer produces lightbulbs at a Poisson rate of 239 per hour. The probability that a lightbulb is defective is 0.014.
A multiple-choice test consists of 81 questions with possible answers of a, b, c, d, e. Estimate the probability that with random quessing, the number of correct answers is at least 41.
Suppose a random variable T has cdf Ft and assume Ft is continuous. What is the cdf of Ft(T)?