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1) Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected".
P(E) =
2) A standard deck of cards contains 52 cards. One card is selected at random. Determine
a) The probability that the card is a 8 or an Ace?
b) The probability that the card is a King or a Club?
A train covered a certain distance at a uniform speed. If the train would have been 6km/hr faster, it would have taken 4hours less than the scheduled time. And if the train were
All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]
If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n
How do you graph a hyperbola?
how to find the volume
Application of Probability in Business 1. Business games of chance for illustration, Raffles Lotteries. 2. Insurance firms: this is generally done when a new client or prop
Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 . Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co
classify problems in operation reseach?
Derive for the filter from z=a and poles at z=b andz=c, where a, b, c are the real constants the corresponding difference equation. For what values of parameters a, b, and c the fi
Question: The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. (a) Construct a decision tr
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