Variance of the marginal distribution
Let X be a random variable with mean 3 and variance 2, and let Y be a random variable, such that for every x, the conditional distribution of Y given X = x has mean x and variance x2 . What is the variance of the marginal distribution of Y?
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Two charges, -18 C and +4.9 C, are fixed in place and separated by 4.2 m. (a) At what spot along a line through the charges is the net electric field zero?
Revenues, production, and purchases budgets. The Suzuki Co. in Japan has a division that manu- factures two-wheel motorcycles. Its budgeted sales for Model G in 2013 is 900,000 units.
Calculate the cycle thermal efficiency and the net work per lbm of steam. You must draw a clearly labeled schematic and a corresponding T-s diagram.
On January 1, Bacon Company purchased as an investment a $1,000, 7% bond for $1,020. The bond pays interest on January 1 and July 1. What is the entry to record the interest accrual on December 31?
The 20 kg mass is released from the position shown and falls on the linear spring (k = 30000 N/m). Use conservation of energy to determine how far down the mass moves after contacting the spring.
Season tickets for the Panthers are prices at $320 and include 16 games. Revenue is recognized after each game is played. When the season began, the amount credited to Unearned Ticket Revenue was $1,728,000.
A professor uses a normal distribution to determine grades from a class of 100 students. The syllabus states that students with a final grade equal to 1.4 standard deviations above the mean (or greater) will receive as "A" grade.
During the month of March, Lavonis Company's employees earned wages of $64,000. Withholdings related to these wages were $4,896 for Social Security (FICA), $7,500 for federal income tax, $3,100 for state income tax, and $400 for union dues.
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