Do as directed : 1) What is Vector ? 2) Full form of SVD 3) What is Unit matrix ? 4) Find the power set of A = {1,2,9} 5) What is Universal set ? 6) What does the Law of Large Numbers state? 7) What is Diagonal matrix ?
[7 marks]07 Find the eigenvalues and the eigenvector for the matrix A =
[ marks]Let Aand Bare two events of an experiment such that p(A)=3/10, p(B) = 1/2, p(B/A)=2/5 , then find : 1) p(A∩B) 2) p(A/B) 3) p(AUB)
[7 marks]Find Xand Yif 2x-3y=15 and x+5y=-18 using Cramer’s rule.
[7 marks]07 If A = and B = Compute : 2A + 5B , (B+A)T , A- B.
[ marks]Abag Icontains 4 white and 6 black balls while another bag II contains 4 white and black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability using Baye’s theorem that it was drawn from bag I.
[7 marks]The dataset below represents the scores of 5 students in a quiz: {5, 7, 9, 11, 13}. Calculate mean and Variance. Page 1 of
[2 marks]Suppose 2 dice are tossed and the number on the top face recorded what is the probability that : 1) Even number was tossed 2) Sum of number is less than 3) Prime number was tossed 4) Sum of number is atleast 5) At least one of the dice shows up a 6) Getting a doublet of even numbers 7) Getting six as a product
[3 marks]Find the variance and standard deviation of the following data:
[7 marks]P = {x∈N/2<x≤ 8}, Q = {x∈N/0≤ x<5}, R = {x∈N/1≤x≤ 10}, U = {x∈Z/-2≤ x<12} Verify PU( Q∩R ) = ( PUQ )∩( PUR )
[7 marks]Prepare the truthtable of the prepositional statement (p∧(~q∨~r)⇒(p⇒~q)
[7 marks]A={2,5,7,18}, B = {2,3,4,5,10}, R = {a≤ b}. Find graph, matrix and inverse of relation.
[7 marks]If 2x2-4x-6=0, Evaluate using Quadratic function formula.
[7 marks]The probability of a student passing in Science is 4/5 and the student passing in both science and maths is 1/2. What is probability of that student passing in maths knowing that he passed in science ?
[7 marks]Find the value of x if log x = log 4 + log 7.333
[7 marks]Afair six-sided die is rolled repeatedly. According to the law of large number what is the expected average value of the outcomes as the number of rolls increases ?
[7 marks]Find the derivative of x6+x3+2. Page 2 of
[2 marks]