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23. List the terms of the finite sequence given by a (n 1)+for 1sn 3. 3...
1. Find the 20th term in the sequence 4, 6, 8, 10, … 2. What term of...
1. Find the 20th term in the sequence 4, 6, 8, 10, … 2. What term of the sequence 2, 5, 8, … is 74? 3. Find the sum of the series 2 + 5 + 8 + … + 74. (see question 2) 4. Find the 19th term of the sequence 1, 2 , 2, … 5. What is the sum of the first 16 terms of the sequence 2, 4, 8, …? 6. A coin is flipped, and a four sided...
Given the sequence an defined recursively as follows: an 3an-1+2 for n 2 1 Al Terms of a Sequence...
Given the sequence an defined recursively as follows: an 3an-1+2 for n 2 1 Al Terms of a Sequence (5 marks) Calculate ai , аг, аз, а4, а5 Keep your intermediate answers as you will need them in the next question. A2 Iteration (5 marks) Using iteration, solve the recurrence relation when n21 (i.e. find an analytic formula for an). Simplify your answer as much as possible, showing your work and quoting any formula or rule that you use. In...
Problem 3. Functional Code with Random Number Sequences Write a generator gen_rndtup(n) that creates an infinite...
Problem 3. Functional Code with Random Number Sequences Write a generator gen_rndtup(n) that creates an infinite sequence of tuples (a, b) where a and b are random integers, with 0 < a,b < n. If n == 7, then a and b could be the numbers on a pair of dice. Use the random module. a) Use lambda expressions, the itertools.islice function (https://docs.python.org/3/library/itertools.html#itertools.islice), and the filter function to display the first 10 generated tuples (a, b) from gen_rndtup(7) that have...
Help with 1-3 MA 321 Probability&Statistics Basic Probability Worksheet 1 Dr. Lisa M.James Spring 2019 Instructions:...
Help with 1-3
MA 321 Probability&Statistics Basic Probability Worksheet 1 Dr. Lisa M.James Spring 2019 Instructions: On a separate sheet of paper, respond to the following problems. Only neat work will be accepted. All pages submitted should have straight edges 1. A couple is planning to have 3 children and are concerned with what the gender of their children will be. a. What is the sample space S of the above experiment? Use "B" for boy and "G" for girl....
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all inte...
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
1. Problem Description Language: JAVA The game of Poker Dice is a bit like standard poker...
1. Problem Description Language: JAVA The game of Poker Dice is a bit like standard poker but played with dice instead of cards. In this game, five fair dice are rolled. We will recognize one of seven different hands, in order of increasing value: None alike: Five distinct die values occur. Example: 1, 3, 4, 5, 6 One Pair: Four distinct die values occur; one die value occurs twice and the other three die values occur once each. Example: 1,...
MATLAB Notes: B) Find likelihood for each sequence 1-9 for each hypothesis. First hypothesis with the...
MATLAB
Notes: B)
Find likelihood for each sequence 1-9 for each
hypothesis.
First hypothesis with the fair coin (theta value = 0.5): what
is the probability that we can get each sequence, 1 through
9.
Second hypothesis with weighted coin(don’t know theta value):
what is likelihood of getting sequence 1 through 9. Using equation
to find all possible hundred theta values. For each theta value we
need to compute likelihood.
Then we sum them up across all possible theta values....
WRITING METHODS 1. Implement a method named surface that accepts 3 integer parameters named width, length,...
WRITING METHODS 1. Implement a method named surface that accepts 3 integer parameters named width, length, and depth. It will return the total surface area (6 sides) of the rectangular box it represents. 2. Implement a method named rightTriangle that accepts 2 double arameters named sideA and hypotenuseB. The method will return the length of the third side. NOTE To test, you should put all of these methods into a ‘MyMethods’ class and then write an application that will instantiate...
For this lab you will write a Java program that plays the dice game High-Low. In...
For this lab you will write a Java program that plays the dice game High-Low. In this game a player places a bet on whether the sum of two dice will come up High (totaling 8 or higher), Low (totaling 6 or less) or Sevens (totaling exactly 7). If the player wins, they receive a payout based on the schedule given in the table below: Choice Payout ------ ------ High 1 x Wager Low 1 x Wager Sevens 4 x...
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this pattern These are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this patternThese are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern x _________ x xx __________ x xx xxx __________ x xx xxx xxxx to see why they're called triangular numbers. I think the Pythagoreans (around 700 B.C.E.) were the ones who gave them this name. I do know the...
Given the sequence an defined recursively as follows: an 3an-1+2 for n 2 1 Al Terms of a Sequence (5 marks) Calculate ai , аг, аз, а4, а5 Keep your intermediate answers as you will need them in the next question. A2 Iteration (5 marks) Using iteration, solve the recurrence relation when n21 (i.e. find an analytic formula for an). Simplify your answer as much as possible, showing your work and quoting any formula or rule that you use. In...
Help with 1-3
MA 321 Probability&Statistics Basic Probability Worksheet 1 Dr. Lisa M.James Spring 2019 Instructions: On a separate sheet of paper, respond to the following problems. Only neat work will be accepted. All pages submitted should have straight edges 1. A couple is planning to have 3 children and are concerned with what the gender of their children will be. a. What is the sample space S of the above experiment? Use "B" for boy and "G" for girl....
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
MATLAB
Notes: B)
Find likelihood for each sequence 1-9 for each
hypothesis.
First hypothesis with the fair coin (theta value = 0.5): what
is the probability that we can get each sequence, 1 through
9.
Second hypothesis with weighted coin(don’t know theta value):
what is likelihood of getting sequence 1 through 9. Using equation
to find all possible hundred theta values. For each theta value we
need to compute likelihood.
Then we sum them up across all possible theta values....
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