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A) Four marbles are chosen without replacement from a box containing 11 red, 9 blue, and 4 yellow marbles. Let X be the number of blue marbles chosen.a) Find and graph the probability distribution of X.b) Find the mean of the random variable X.
B) A random sample of 20 people found that the number of mail-order catalogs that each had received in the last month were (in order from lowest to highest):0 0 3 4 7 7 8 9 14 17 24 32 36 40 44 45 50 58 62 63a) find the range, mean, median, and mode of the data setb) find the sample standard deviation.c) construct a histogram using classes of size 8.
For what value of the parameter b will the following system of equations fail to have a unique solution?
Given f( x) = 2/x-1 , use the four step process to find a slope predictor function m(x). Then write an equation for the line tangent to the curve at the point x = 0.
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
what is the probability that equivalence is indicated at 100 mL. what is the probability that equivalence is indicated at less than 100 mL
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
Using the standard inner product in R^3, find two unit vectors that are orthogonal to u=(3,-2)
Given the following 3X3 matrix find the eigenvalues and eigenvectors. Please solve by hand before checking with a computer program!
Basic probability problems
Compute the coecients of the polynomials using the term recurrence relation.
A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring (128/101) feet.
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
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