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The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 20 minutes, inclusive.
a. What is the probability that a person waits fewer than 13.5 minutes?
b. On the average, how long must a person wait? Find the mean, μ, and the standard deviation, σ.
c. Find the 40th percentile. Draw a graph.
Department members are expected to vote independently and with no prior consultation. What are the candidate's chances of getting the position?
Of the drivers who stop to get gas, 92% purchase gas and 6% purchase both gas and oi. A total of 7% purchase purchase oil. What is the probability that a customer purchases oil, given that the customer purchases gasoline?
X1,..., Xn is an iid sequence of exponential random variables, each with expected value 5. (a) What is Var[M9(X)], the variance of the sample mean based on nine trials?
1. assume that event a occurs with probability 0.4 and event b occurs with probability 0.5. assume that a and b are
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Compute the generating function of some standard distributions, such as the binomial, geometric, and Poisson distributions.
according to the irs the average tax refund for the 70 million personal income tax returns in 1998 was 800. assuming a
Use the applet. It isn't easy to guess the position of the least-squares line by eye. Use the Correlation and Regression applet to compare a line you draw.
A bank manager wants to know the average amount of time customers of his bank have to wait in line. 300 customers were polled and asked
Do the successive digits in the decimal expansion of p behave as though they were selected from a random number table (or came from a computer's random number generator)?
A series system is one that needs all of its components to function in order for the system itself to be functional. For an n-component series system
Suppose that bank has made a large number of loans of a certain type. The one year probability of default each loan 1.2%. The bank uses a Gaussian copula for time to default.
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