Number of aces and the number of spades
A deck of 52 cards is shuffled and a bridge hand of 13 cards is dealt out. Let X and Y denote, respectively, the number of aces and the number of spades in the hand.
(a) Show that X and Y are uncorrelated.
(b) Are they independent?
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To test for a disease that has a prevalence of 1 in 100 in a population, blood samples of 10 individuals are pooled and the pooled blood is then tested. What is the probability that the test result is negative (the disease is not present in the po
Determine the points on the tire that have a maximum and minimum speed and the points that have a maximum and minimum acceleration.
The external surrounding air at 300 K has a convective coefficient of 25 w/m^2 K. Calculate the fin efficiency and the heat loss from the fin per 1.0 m of length.
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95% of body's volume is in the water while 5% of her body's volume is above water. Determine the density of the swimmers body. The density of water is 0.036lb/in^3.
You can assume the density of water is 1000kg/m3 and ignore the internal energy of water, please find the flow rate of mass and energy of water?
Fat contents (in percentage) for 10 randomly selected hot dogs were given in the article "Sensory and Mechanical Assessment of the Quality of Frankfurters". Use the following data to construct a 90% confidence interval for the true mean fat percen
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