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Prove that the function f(x) = C (a constant function) is Reimann integrable over [a,b] and calculate its Reimann integral over [a,b]
(Follow the technique of the function f(x) = x^2)
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
Characterize completely the random variable that is Bin(49, 0.3).
Probability Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities of
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
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).
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
In a random sample of 330 homes, what is the probability that more than 70 do not have an answering device? The probability that more than 70 do not have an answering device
What percentage change in the required sample size would this produce?
Calculate the simple linear regression equation
Calculating the probability values
Complete the table to make this a valid probability distribution. b. What is the probability an applicant's GPA will be below 3.0?
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
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