Binomial distribution with parameters
Let X have a binomial distribution with parameters n and p, and let the conditional distribution of Y given X = x be Poisson with mean x.
a. What is the variance of Y?
b. What is the joint distribution of the pair(X,Y)?
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What is the value of the coefficient of determination for this regression model? Comment on the strength of the regression line for this model.
How much work is done (a) by the block on the spring and (b) by the spring on the block? (c) What is the value of h0? (d) If the block were released from height 2h0 above the spring, what would be the maximum compression of the spring?
What is the probability that a hand of five cards chosen randomly and without replacement from a standard deck of 52 cards contains the king of spades, exactly 1 other king, and exactly 2 queens? Evaluate the true probability.
An Ideal monatomic gas undergoes a reversible expansion from specific volume, v(1), to specific volume, v(2). Calculate the change in entropy if the process is isothermal?
Information from the Department of Motor Vehicles indicates that the average age of licensed drivers is µ = 45.7 years with a standard deviation of o = 12.5 years. Assuming that the distribution of drivers ages is approximately normal
Two containers are at the same temperature. The first contains gas with pressure p1, molecular mass m1, and rms speed vrms1. The second contains gas with pressure 2.0p1, molecular mass m2, and average speed vavg2= 10.0vrms1. Find the mass ratio m1
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On the basis of the material and labor cost estimates originallycompiled with the Plant Manager's help, should you recommend that the product be producedat Avery or purchased from Marley? Show your calculations.
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