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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?
What are the dimensions of the box that would maximize the volume.
Holiday Inn wants to develop a 97% interval for the mean number of rooms occupied each night at its locations around the nation. How many nights must be included in the sample if an error of 50 rooms can be tolerated and a pilot sample reveals s =..
f(x)= the square root of x^2+1 and [0,4] . Use the midpoint rule with 4 rectangles to approximate the area bounded by f(x) and the x axis.
Perform the last step in the hypothesis test
If appropriate, use the Tukey-Kramer multiple comparisons procedure to determine which file sizes significantly differ with respect to mean access read time. (Use α = 0.05.)
Evaluate the table of values of earning using the given data - Define the variables, determine the slop and vertical intercept, and write an equation to model this data.
If you were to graph these functions, what feature would appear in the graph at the limiting value? Why?
Find the first four zeros of the function f(z)=1+z^2+e^z ordered according to increasing complex absolute values. How do you know these are the first four zeros and that you have not missed some?
The curve y = x^3 + x^2 - x has two horizontal tangents. Find the distance between these two tangents and draw a picture. Please show how to solve the following problem to the answer of 32/27.
Find the center of mass of the lamina that has the given shape and density. Be sure to enter the ordered pair as (xcm,ycm) where both points are rounded to the tenths place and the parentheses included.
Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
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