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Please do only Problem 4! Use 3 as result. 3. Use the inclusion-exclusion formula derived in class as well as induction on the integer n to show that for any sequence of events {AjlI, we have that j-1 This upper bound is referred to as the union bound. 4. Extend the above result to show that we have the analogous bound P( A) P(A), j-1 for the case of an arbitrary, but countable, number of events } Hint: Use the...
Question 39 5 pts Use your calculator to duplicate the following table data as a matrix and conduct a X2 Test of Independence on your TI 83/84 device. Find the x2 (chi-square) value and P-value from these results. Cite my P-value for your answer. 252 24 208 23 my P-value = O My P-value is about 0.238 My P-value is about 0.762 O My P-value is about 0.374 O My P-value is about 0.626 Use your calculator to duplicate the...
10. Combinations In doing problems a - d below, use the combinations formula and calculator to evaluate each combination. SHOW SOME WORK for each problem Remember that each answer should be a WHOLE number. a. CS A bicycle shop owner has 12 mountain bicycles in the showroom. The owner wishes to select 5 of them to display at a bicycle show. How many different ways can a group of 5 be selected? SHOW SOME WORK. Remember that your answer should...
please answer 2a(i) only 2. (a) Use Octave as a Calculator to answer this question. Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j - 1. The (i,j)-entry of the matrix A equals 0 if i +j is divisible by and equals the (i,j)-entry of the matrix B otherwise. i. What are the rank and nullity of matrices A and B? ii. Is vector u- [9,...
C++ ONLY Write a function calculator that takes two floating numbers and one operator and prints out the answer based on arithmetic. Assume that there are no overflow, underflow and division by zero cases. Your function should be named calculator Your function takes three input parameter: two double numbers and one char operator Your function does not return anything Your function prints answer in the format specified below Your function should set precision point to 2 Note: You must use...
You may use a calculator and/or computer to carry out calculations. However you must show a sufficient amount of work to clearly communicate your solution to the reader. [A] Consider the L-shaped polygon with vertices: (-1,0), (1,0), (1,1), (0,1), (0,3), and (-1,3) shown to the right. Find the standard matrix for each of the transformations described below. Then use matrix multiplication to obtain the coordinates for the 6 vertices that result from applying the transformation to the vertices of the...
#1.) Here is a sample credit card statemet. Use the CARD Statement to answer problems a- d. CARD Statement Account Number 1234 1234 1234 1234 O Statement Closing Date 11/06/08 Credit Line $2,100.00 Available Credit $1,576.80 TERESA TORRES 123 ANY STREET CITY CA 12345 o Account Summary Previous Balance - Credits - Payments + Purchases & Other Chgs - Cash Advances • FINANCE CHARGE - New Balance Payment Information O New Balance O Scheduled Minimum Payment O Scheduled Payment Due...
(3) Use a standard 52-card deck for this activity. Use appropriate notations in your answers. a) Compute the probability of the event E-"drawing a king". b) Compute the probability of the event F="drawing a queen". c) Compute the probability of the event G " drawing a jack". d) Compute. Discuss the probability rule that can be used to compute? c) What are the chances of drawing a face card? f) If I draw a card at random, and without showing...
1.Without referring to the preprogrammed function on your financial calculator, use the basic formula for present value, along with the given opportunity cost, r, and the number of periods, n, to calculate the present value of $1 in each of the cases shown in the following table. Case Opportunity cost, r Number of periods, n A 2% B 10 C D 13 2 2.Bond value and changing required returns Midland Utilities has outstanding a bond issue that will mature to...