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Travel and Transportation
The Washington, DC, Metro has some long and deep escalators. The longest continuous escalator is at the Wheaton (Red Line) stop. It is 230 feet long and approximately 140 feet deep.30 For those who simply ride the escalator (without extra steps), it takes just over 2.5 minutes to complete the journey. However, because many people walk while on the escalator, the amount of time to travel the 230 feet is approximately normal with mean 1.9 minutes and standard deviation 0.3 minute. Suppose an escalator rider is selected at random.
a. What is the probability that it takes less than 2 minutes to ride the escalator?
b. What is the probability that it takes between 1.5 and 2.5 minutes to ride the escalator?
c. Suppose that five escalator riders are selected at random. What is the probability that three of the five take at least 2 minutes and 20 seconds to ride the escalator?
Teenage boys is approximately normal with and Levels above 200 warrant attention. Find the probability that a teenage boy has a cholesterol level greater than 215.
A box contains 4 one-dollar bills and 3 five-dollar bills. You choose six bills at random and without replacement from the box. Let T6 be the amount you get. What is Var(T6)?
Suppose you toss ten coins and count the number of heads. What is the probability that the number of heads you count will lie within two standard deviations of the mean?
Give a 95% and a 98% con?dence interval for the proportion of support for the president.
A researcher is interested in estimating noise levels in decibels at area urban hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 4.13, how large a sample is required to get the desired information..
a control chart for the fraction non-conforming of muffler bearing production is maintained with a p value of 0.10 and
A die is rolled twice. Let X denote the sum of the two numbers that turn up, and Y the difference of the numbers (specifically, the number on the first roll minus the number on the second). Show that E(XY ) = E(X)E(Y ). Are X and Y independent?
the quality control department wants to estimate the true percentage of rework for the electrical components to within
the wall thickness of 20 glass 2-liter bottles was measured by a quality control engineer. the sample mean was xbar4.05
Quaker Oats is contemplating changing the shape of its box from the quaint cylinder presently in use. Different random samples were selected from five stores of similar size in the same region
A company is interested in estimating the mean number of days of sick leave taken by its employees. The firm's statistician randomly selects 100 personnel files and notes the number of sick days taken by each employee.
What is the probability that Julie is offered at least one of the three jobs?
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