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Consider the function f(x) = arcsin(1 - x^2).
(a) What is the largest domain over which this function is defined?
(b) For this domain, what is the corresponding range of the function?
(c) If this function is one-to-one, find the inverse function f^-1(x), and state the domain of this inverse function. Otherwise, find a suitable restriction for the domain of the function, so that the restricted function has an inverse. Find this inverse function,carefully specifying its domain and range.
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Probability : Dice and Payoff c) in part a, if you bet one dollar that a sum of 10 will turn up, what should the house pay (plus returning your one dollar bet) if a sum of 10 turns up for the game to be fair?
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
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Find the probability that in the next 2 days the operator will receive a total of 3 calls in that time interval. Mathematics Poisson Distribution Probability
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The different scenarios and their probabilities are An urn has 2 one dollar bills, one 5$ bill and one 10$ bill. A player draws one bill at a time with out replacing them until a ten dollar bill is drawn, then the game stops.
Predict the sales price for 30 year old customer, who has a $40000 income and a 7 year old car.
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What route will take the least amount of time?
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