Q2). Study each of the following in terms of being finite - countable - finite - thenfind the max, min, upper bound, lower bound, sup and inl for each of the following:1. A = (-4,4),%3D2 B = [0,1]3. С %3D Q.4. D = {1,2, ... , 100 },%3D5. E = (x - 3 sx<3, X EQ)

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Answered: Q2). Study each of the following in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A group of researchers wishes to see if the total number of diseases that occurred in six countries are the same. The data are shown in the table. At α = 0.05 is there enough evidence to reject the claim that the number of diseases in the six countries are the same? Philippines - 8,6,7,10,16 India -6,13,16,10,7 Thailand. -5,8,16,22,12 Singapore. -14,12,8,9,15 Korea. -5,4,32,21,17 Japan. -6,18,15,24,16
d. 1f316= e. 26.9062510= f. 12.624023437510= (Maximum of six places to the right of the binary point) g. 56.43410= || (Maximum of six places to the right of the binary point) h. 10101.1112= i. 11011.11012= 5 10 10 10 8
If S = {a,b,c} with P(a) = P(b) and P(c) = 0.24, find P(a). (Enter answer as a decimal with at least 2 correct decimal places)
3) A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 200 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let Xi, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent.
3. For a factorial 2^5, it is desired to obtain blocks of 2³ v.e. obtain a design in which no factorial effects are completely confounded by blocks. Determine the confusion scheme and the ANOVA (F.V. and D.F.) also present the expression of the SS(A) and SS (int. Confused in some repetition).
dy Find the general solution of the differential equation : dx = y(5 - 4x) x(1 + 4y) by using variable separable method.
Assume that M= N(h)+k, h² + k, h* + ... Use the following data to find N,(). N,(h)=2.451, N,G)=2.896, N,)=3.285, N,(- = 3.786, N,()= 4.422 16 O a. 4.634 O b. 4.287 O c. 3.044 O d. 3.4146 O e. 3.953 O f. 5.058 Og. 3.674
For Numbers 4 and 5: Dr. Kae Dee, a resident cardiologist who intends to specialize in vascular medicine, wants to verify a claim from a study which states that chronic venous insufficiency affects about 1 in 20 adults. She obtained records from 40 randomly selected hospitals from municipalities with relatively similar population sizes and obtained the number of reported chronic venous insufficiency cases. Let X be the number of reported chronic venous insufficiency cases. 4. Which of the following is(are) TRUE? 1. X is a discrete random variable with possible values x = {0, 1, 2, 3, ..., 40) II. The sum of probabilities of all values of X is 1. A. I only 5. Presented below is the probability distribution table from Dr. Kae Dee's study. X=x P[X=x] A. 1.00 B. II only 19 0.22 20 0.38 B. 4.10 C. Both I and II 21 0.11 The expected number reported chronic venous insufficiency cases is 22 C. 20.57 D. Neither I nor II 23 0.10 on the average. D. 105
3. An urn contains exactly 10 red chips and 6 blue chips. Five chips are randomly selected without replacement. Let X denote the number of blue chips in the sample of five chips. (a) What type of random variable is X? Indicate both the type and the appropriate parameters using the "~" notation. Write down the pmf of X, and do not forget to indicate the range of values that x can take on. X ~ px (x) (b) What is the probability that there are between two and four blue chips among the five chosen chips? Express your answer as a decimal. = (*)*
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Q2). Study each of the following in terms of being finite - countable - finite - then find the max, min, upper bound, lower bound, sup and inl for each of the following: 1. A = (-4,4), %3D 2 B = [0,1] 3. С %3D Q. 4. D = {1,2, ... , 100 }, %3D 5. Е %3D (x- 3 Sx<3, X EQ)