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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)?
Is the normality assumption that was made at the beginning valid? Why or why not? Hint: Construct a histogram and include this in your submission.
Use a 0.05 significance level to test the claim that the two ponds have the same mean salinity value.
Mitch thinks that there is a difference in quality of life between rural and urban living. He collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there i
Suppose we draw 13 cards out of a deck of 52. What is the expected value of the number of aces we get?
Future Electronics makes CD Players. Its research department found that the life of the laser beam device is normally distributed, with mean 5000 hours and standard deviation 450 hours.
An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 14 fields of land in different locations and plant each corn variety in one half of ea
Suppose X and Y have joint density f(x,y) = 10x^2y when 0 < y < x < 1. a) Find the marginal densities of X and Y and the,
1. A random sample of 16 size D batteries for cars yield a mean of 2.8 hours with standard deviation, 1.3 hours. (a) Find the critical value, t*, for a 99% CI. t* =
Jude is interested in buying a digital camera. He visited 9 stores at random and recorded the price of the particular phone he wants. The sample of prices had a mean of 350.22 and a standard deviati
An SRS of size 10 is drawn from a population that has a normal distribution. The sample has a mean of 111 and a standard deviation of 4.
Assume that IQ scores are normally distributed with a standard deviation of 15 points and a mean of 100 points. If 100 people are chosen at random, what is the probability that the sample mean of IQ
A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of
Let x bar be the mean sample length of these fish. What is the probability that x bar is within 0.5 inch of the claimed population mean? Show all work. Then, provide a brief step by step explanation