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The bus you take every morning always arrives anywhere from 2 minutes early to 15 minutes late and it is equally likely that it arrives during any of those minutes. Suppose that you arrive at the bu
If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1500 µm?
Amy commutes to work by two different routes A and B. If She comes home by route A then she will be home no later then 6 P.M. with probability of .8 but if she comes comes home by route B, then she
A state runs a lottery in which six numbers are randomly selected from 40, without replacement. A player chooses six numbers before the state's sample is selected. What is the probability that the s
Find the sample proportion and a 95% confidence interval for the proportion of people who would prefer a doctor, nurse, or other health care professional as a marriage partner. Convert the estimate
What were the percentages of odd numbers after 50, 100, and 250 rolls? Explain how this illustrates the law of large numbers, even while your losses increased.
The distance between flaws on a long cable is exponentially distributed with mean 12 m.b. Find the probability that the distance between two flaws is between 8 and 20 m. Find the mean distance.
A company is in charge of a construction project. Based on records of similar projects , the distribution of months x needed to complete the project is given by :
Suppose that the company above is expected to finish the above project in 7 months. The company is to receive 10,000 dollars for each month they finish earlier, but will have to pay 25,000 dollars f
Use the following information about a survey of a product. forty percent of people surveyed were males. Among males 75% were satisfied with the product. Among females only 30% were satisfied with th
Suppose that X is a binomial random variable with n = 200 and p = 0.4. Approximate the probability that x is less than or equal to 70
A normal random variable X with mean sixty and standard deviation six.
Should professional athletes be tested for drugs? Reporting on this question, the Orlando Sentinel noted that Donald Fehr, executive director of the Major League Baseball Player's Association, "crit
A and B are involved in a duel. The rules of the duel are that they are to pick up their guns and shoot at each other simultaneously. If one or both are hit, then the duel is over. If both shots mis
One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the 3 coins is selected at random and flipped, it shows heads
Assuming the number of white blood cells per unit of volume of diluted blood counted under a microscope follows a Poisson distribution with , what is the probability, using a normal approximation, t
Explain what is wrong with each of the following statements. The bootstrap distribution is created by resampling with replacement from the population.
Let Y1, Y2,...Yn denote a random sample size n from a population with a uniform distribution on the interval (0,θ). Consider Y(1)=min(Y1, Y2,...Yn), the smallest order statistic. First derive
What is the expectation and variance of the time it takes until Dr. Emmett Brown is out of repair kits? (i.e. Dr. Brown has encountered and repaired 4 flux capacitors)
A man has two choices on investing his money. Investment A gives him a 5000 dollar return with probability 0.8 or 1000 with probability 0.2 .investment B give him a 3000 dollar return with probabili
A nationwide study of homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer feels the estimate is too low for households. Find the P-value for a test of the claim
Using 99% degree of confidence and n = 12, , s = 5.0 to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
A physician is planning to conduct a blood test on all residents in a big area for a certain kind of flu. Suppose that the affected proportion of residents in this area is p(0<p<1), and that a
What is the distribution of the number of problems Peter can solve before the deadline, and what is the distribution of the number of problems Allen can solve before the deadline?