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Question: Suppose that a pair of fair octahedral dice is rolled.
a) What is the expected value of the sum of the numbers that come up?
b) What is the variance of the sum of the numbers that come up?
A car is traveling on a straight road with velocity 55 ft/sec at time t = 0. For 0 ≤ t ≤ 18 seconds, the car's acceleration a(t) , in ft/sec2, is the piecewise linear function defined by the graph above.
The volume of wood in a tree varies jointly as the height and the square of the girth. Girth is the distance around. If the volume is 38.4 cubic feet, when the height is 30 feet and the girth is 4 feet,
question biologists stocked a lake with 400 fish and estimated the carrying capacity the maximal population for the
Consider the closed interval [0,1]. Remove the open interval 11 I which has center at 1/ 2and length 1/ 2 . 2 Then remove 12 I and 22 I from 11 I ? I so that their centers coincide with the center of closed interval of 11 [0,1]? I and their length 1/..
a. Which of the following is a characteristic of a Bernoulli process? Circle one. a. In each trial, there are just two possible outcomes. b. The probability of a success remains the same from one trial to the next.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Find the nth degree Taylor polynomial for f (x) centered a = 0, written in expanded form. Find the nth degree Taylor polynomial for f (x) centered a = 0, written in summation notation.
How does the Internet and Web technologies help improve knowledge management systems?
An experimenter has conducted a single-factor experiment with six levels of the factor, and each factor level has been replicated three times. The computer value of the F-statistic is F0=3.26. Find bounds on the P-value.
What is the divergence of the vector field? Is it vector or scalar quantity? Find the divergence of the vector field at the point P = (1, √π/2, 5√π). What is the curl of the vector field? Is it vector or scalar quantity?
Select an organizational issue, problem, or topic that you would like to research. Write a narrative about your proposed research. Include the following information:
Let be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
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