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Draw a card from a standard deck of 52 playing cards, observe the card, and replace the card within the deck. Count the nu,ber of times you draw a card in this manner until you observe a jack. Is a binomial distribution a reasonable probability model for the random variable X? State your reason clearly.
Evaluate whether the given geometric series converge, hence determine the exact number or expression that the series converges to
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
Consider the Poisson equation uxx = f on the interval (0,1) subject to the boundary conditions ux(0) = α (Neumann), and u(1)= β (Dirichlet). Find the solution using Green's Function approach.
In recent years the state of california issued license plates using a combination of one letter of hte alphabet followed by three digits, followed by another three letters of the alphabet. How many different license plats can be issued using this ..
Write down an expression for the variance function and identify the canonical link function and A generalised linear model has independent normal responses
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y:
Suppose p3 represents the proportion of patients who showed improvement after one month of therapy three times a week and p2 represents the proportion of patients who showed improvement after one month of therapy twice a week. A 95% confidence int..
A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time. Xavia is at an angle of depression of 13 degree. Yelena is at an angle of depression of 13 degree.
A triangle with base 3 m and height 5 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
the elevation of Death Valley, California. If Death Valley is 282 ft below sea level, find the elevation of Mount Whitney.
Calculate the work done if the crane lifts the ball from ground level to 26 feet in the air by drawing in the cable.
Find the center (h,k) and radius r of the circle and then use these to Graph the circle
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