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In a carton of 12 eggs 5 are brown and 4 are cracked. Three of the brown eggs are cracked. Let X be the number of cracked eggs among 6 selected at random and without replacement from the carton. Let Y be the number of BROWN cracked eggs among the 6 selected. Find the marginal pmfs of X and Y, explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X<4 and Y<2? What is the probability that X>1?
Test using the traditional approach with α = 0.05
Teachers also found that strength of class is maximum satisfying all above conditions. Determine the total no. chocolates got by student A of the first class.
One card will be randomly selected from a standard 52-card deck of cards. What is the probability that it will be the jack of hearts?
Find the median distance driven.
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Let G = RxR (R is the real numbers) with addition (x,y) + (x', y') = (x+x', y+y'). Let H be the line y=mx through the origin: H = {(x,mx)such that x belongs to R (R is real numbers).
Graph the function and answer the question using graph - What is the significance of the vertical asymptote (what does it mean in this context)?
The yearly production of a 6 foot is 22 pounds of oranges. A 16 foot tree produces 86 pounds.
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
Of the students at a certain college, 50% regularly attend the football games, 40% are first-year students, and 40% are upper-class students who do not regularly attend football games. Suppose that a student is selected at random.
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
A rectangular Piece of land is 70ft longer than it is wide. Each diagonal between opposite corners is 130ft. What are the dimensions of the parcel?
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