Related InterviewSolutions

• An example of Maclaurin series is _______(a) ∞∑n=0 (x^n/n!)(b) ∞∑n=0 (x/5+n!)(c) ∞∑n=0 (x^n+1/(n-1)!)(d) (x^n/n)This question was addressed to me in semester exam.My question is from Discrete Probability topic in division Discrete Probability of Discrete Mathematics
• Determine a power series representation for the function g(x)=ln(7−x).(a) ∞∑n=0 x^n+1/7^n+1(b) ln(14)∞∑n=0 x^n+1/7n(c) ln(7)∞∑n=0 x^n+1/7^n+1(d) ln∞∑n=0 x/7^n+1I have been asked this question in an interview.I'm obligated to ask this question of Discrete Probability topic in section Discrete Probability of Discrete Mathematics
• Mangoes numbered 1 through 18 are placed in a bag for delivery. Two mangoes are drawn out of the bag without replacement. Find the probability such that all the mangoes have even numbers on them?(a) 43.7%(b) 34%(c) 6.8%(d) 9.3%This question was addressed to me by my school teacher while I was bunking the class.The doubt is from Discrete Probability topic in portion Discrete Probability of Discrete Mathematics
• A cupboard A has 4 red carpets and 4 blue carpets and a cupboard B has 3 red carpets and 5 blue carpets. A carpet is selected from a cupboard and the carpet is chosen from the selected cupboard such that each carpet in the cupboard is equally likely to be chosen. Cupboards A and B can be selected in \(\frac{1}{5}\) and \(\frac{3}{5}\) ways respectively. Given that a carpet selected in the above process is a blue carpet, find the probability that it came from the cupboard B.(a) \(\frac{2}{5}\)(b) \(\frac{15}{19}\)(c) \(\frac{31}{73}\)(d) \(\frac{4}{9}\)I have been asked this question in an interview for internship.This key question is from Discrete Probability in chapter Discrete Probability of Discrete Mathematics
• Determine the radius of convergence and interval of convergence for the power series: ∞∑n=0 (x−7)^n+1/n^n.(a) 0, −1
• What is the radius of convergence and interval of convergence for the power series ∞∑n=0m!(2x-1)^m?(a) 3, 12(b) 1, 0.87(c) 2, 5.4(d) 0, 1/2I got this question during an interview.This question is from Discrete Probability in section Discrete Probability of Discrete Mathematics
• Find the power series representation for the function f(x)=x/4−x.(a) ∞∑n=0x^n+1/4^n+1(b) ∞∑n=0x^n+14^n(c) ∞∑n=0x^n4^n(d) ∞∑n=0x^n+1I had been asked this question by my school principal while I was bunking the class.The question is from Discrete Probability in chapter Discrete Probability of Discrete Mathematics
• Determine the interval and radius of convergence for the power series: ∞∑n=17^n/n(3x−1)^n-1.(a) (2x+1)/6(b) 7|3x−1|(c) 5|x+1|(d) 3!*|4x−9|This question was posed to me in quiz.Enquiry is from Discrete Probability in portion Discrete Probability of Discrete Mathematics
• sec(x) has a trigonometric series that is given by _______(a) ∞∑n=0 ((-1)^nE2n / (2n)!)*x^2n(b) ∞∑n=0 ((-1)^nE2n)(c) ((-1)^nB2n / (2n)!)*x^2n(d) ∞∑n=0 ((2n)!)*x^2n+1I have been asked this question in a national level competition.Query is from Discrete Probability topic in chapter Discrete Probability of Discrete Mathematics
• Which of the following series is called the “formal power series”?(a) b0+b1x+b2x^2+…+bnx^n(b) b1x+b2x^2+…+bnx^n(c) 1/2b0+1/3b1x+1/4b2x^2+…+1/nbnx^n(d) n^2(b0+b1x+b2x^2+…+bnx^n)I had been asked this question during an interview for a job.My enquiry is from Discrete Probability topic in chapter Discrete Probability of Discrete Mathematics