CONCEPTS OF DATABASE MANAGEMENT
9th Edition
ISBN: 9780357323366
Author: Pratt
Publisher: CENGAGE C
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Chapter 2, Problem 20RQ
To determine
To describe the purpose of SELECT command in Relational Algebra.
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4.
Suppose that the average number of cars abandoned weekly on a certain highway is λ = 1.68.
Approximate the probability that there will be
(a) No abandoned cars in the next week.
(b) At least 2 abandoned cars in the next week.
Hint: Model the problem with a Poisson random variable.
od
The probability mass function of a discrete random variable X is given by
P(X = 1) = {}
x=1,2,3,4
10 otherwise
(a) Draw the probability mass function (PMF) of this random variable.
(b) Draw the cumulative distribution function (CDF) of this random variable.
(c) What is P{2< x <4}? Write it in terms of the CDF.
(d) What is E[X]?
(e) What is Var[X]?
(f) What is E[X (6-X)]?
(g) What is Var[3X - 2]?
On a multiple-choice exam, there are 4 possible answers for each of the 6 questions. If a
student answers the questions by random guesses,
(a) What is the probability that he would get exactly 3 correct answers?
(b) What is the probability that he would get at least 1 correct answer?
(c) If this problem is solved using a binomial random variable, what would the binomial parameters
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Chapter 2 Solutions
CONCEPTS OF DATABASE MANAGEMENT
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- - | العنوان I need a detailed drawing with explanation so A 4 شكا +x-pu +965 Taylor Series Approximation Example- H.W More terms used implies better approximation f(x)+ f(x) Zero order First order 1.0 0.5 x-0 Second order True f(x) f(x) • flx;+ 1) = f(x) + fƒ '\x;}h √(x,+ 1) = f(x) + f (x)h + "(x) 2 f(x1) X+1-1 f(x) 0.1x 0.15x³-0.5x²-0.25x+1.2 Taylor Series Approximation H.w: Smaller step size implies smaller error Errors 100+ F(x) Zero order First order Second order 0.5 Reduced step size 0 x, 0 f(x+1)f(x,) + ƒ\x,}h 51 f(x + 1) − f(x) + (x)+2 ((x1) +1-1 Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5 iterations (or & s= 5%) for f(x) 0.1x 0.15x³-0.5x2- 0.25x+1.2 マ 52arrow_forwardHome Work Use Taylor's series expansion to Compute the true and approximate percent relative errors & and εa for x = π/6, use 6 iterations for the series. sin(x) == x-arrow_forwardTaylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x) Zero order f(x + 1) = f(x;) First order f(x; + 1) = f(x;) + f'(x;)h 1.0 Second order 0.5 True f(x + 1) = f(x) + f'(x)h + ƒ"(x;) h2 2! f(x+1) 0 x; = 0 x+1 = 1 x h f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2 51 Taylor Series Approximation H.w: Smaller step size implies smaller error Errors f(x) + f(x,) Zero order f(x,+ 1) = f(x) First order 1.0 0.5 Reduced step size Second order True f(x + 1) = f(x) + f'(x)h f(x; + 1) = f(x) + f'(x)h + "(xi) h2 f(x,+1) O x₁ = 0 x+1=1 Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5 iterations (or & s= 5%) for f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2 52arrow_forward
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