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Each of the four engines upon an airplane functions correctly on a given flight with a probability .99, and the engines function independently of each other.
The tax problem for US Tobacco is that an ad valorem tax on premium priced brand creates even greater price gap between premium and economy brands.
Each of n balls is independently placed in one of n boxes, with all boxes equally likely. Compute the probability that exactly one box is empty? (Note that this is not asking about a specific box th
Six are True-False questions, and Six are multiple-choice questions which have five choices each. A student must choose an answer for each question. In how many manners can this be done?
A die is rolled 12 times. Given that two of rolls came up 1, four came up 2, three came up 3, one came up 4, two came up 5, and none came up 6, how many different arrangements of the outcomes are th
Six lifeguards are available for duty one afternoon. There are five lifeguard stations. In how many ways can five lifeguards be chosen for the stations?
A company finds errors on 10% of its invoices. if a random sample of 100 invoices is drawn, use normal aproximation to the binomial to find the probability of fetecting at most 5 invoices with error
Four MIT engineering students stand in line at the movie theater to see The Truth About An Inconvenient Truth. Into how many different ways can the students be arranged?
Of these students, 90 earned an A in calculus, 66 earned an A in physics, and 45 "mystically" received an A in both calculus and physics. What is the probability that a randomly chosen student earne
A sleep study shows that sleep time follows a normal distribution with the mean of 7 hours and a standard deviation of .5 hours. What is the probability that someone will sleep for 6 or less hours?
Let Y1, Y2, . . . , Yn be independent and identically distributed with following probability density function f(y) = 4(1 - y) ^3, 0 < y < 1 f(y)= 0 otherwise
Aluminum usage in automobiles has been climbing steadily. As currently as 1990, there were no aluminum-structured passenger cars in production anywhere in world, but by 1997, there were seven of the
A repeated-measures ANOVA was conducted for study comparing three treatment conditions with a total of 12 scores (N = 12, n = 4). This ANOVA produces an F-ratio of 2.10. For this result, what is the
What are chance and assignable causes of variability? What part do they play in the operation and interpretation of a Stewhart control chart?
The life of aircraft component is specified between 7500 and 12,000 hrs. The life is normally distributed with mean of 10,000 hrs. The price realized by manufacturer for each unit produced is $12. I
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. Assume that you arrive at the bus
Scores on an exam follow an approximately Normal distribution with the mean of 76.4 and standard deviation of 6.1 points. What percent of students scored above 80 points?
Assume that X is the number of bears spotted by tourists to Banff, Canada. The table below is the probability distribution for X. What is the expected value of X, that is, what is the mean of its di
Determine the appropriate least squares estimator of B1? Justify your answer. Determine the variance of the slope estimator?
The serum cholesterol levels of a certain population of boys follow a normal distribution with mean 176 mg/dl and standard deviation 30 mg/dl. What percentage of the boys have serum cholesterol valu
We wanted to be 95% confident that error in estimating the mean life is less than 5 hours. What sample size should we use? Round your asnwer up to the nearest whole number. The answer must be exact.
A government agency cited manufacturing company for discrimination since 55% of males applying for a position were hired, and only 42% of the female applicants were hired.
According to Sidney Morning herald, 40% of bicycles stolen in Holland are recovered. (In contrast, only 2% of bikes stolen in New York City are recovered.) Determine the probability that, in a sampl