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A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 18 of these cameras, of which 7 have 3-megapixel resolution. Suppose that 5 of these cameras are randomly selected to be stored behind the counter, the other 13 are placed in a storeroom Let X = the number of 3-megapixel cameras among the 5 selected for behind the counter storage.
(a) Compute P(X = 3).
(b) Compute P(X > 3).
(c) Calculate the mean of X.
(d) Calculate the standard deviation of X.
in order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is
For a constant matrix A and a Random vector z, E(Az)=AE(z), var (Az)=A var(z) AT under the Gauss-Markov conditions, determine the mean vector and the variance-co-variance matrix for the vector y-bar?( in terms of X, β, σ2)
Consider a random sample of size n from an exponential distribution, Xi ~ EXP(1,eta). a) Show that Q = X1:n - eta is a pivotal quantity and find its distribution.
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Four percent of DVD players manufactured by an electronics company are defective. Suppose six DVD players are randomly selected from the production line. Each DVD player is determined to be defective or non-defective.
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