Q1. A vending machine dispensing books of stamps accepts onlyone-dollar coins, $1 bills, and $5 bills.a) Find a recurrence relation for an, the number of ways todeposit n dollars in the vending machine, where the order inwhich the coins and bills are deposited matters.( Hint: 3 cases: Case1; the first deposit is a one-dollar coin,Case 2: First deposit is a $ 1 bill. Case 3: First deposit is a $ 5 billNote that your recurrence relation is valid for n 2 6So we will need 5 initial conditions a1,a2,a3,a4,a5.b) In how many ways can you deposit $8 for a book of stamps?Use the recurrence relation that you found in part (a).

Answered: Image /qna-images/answer/07ddfb14-2d8a-45bd-916c-753f16513ecc.jpg

Answered: Q1. A vending machine dispensing books…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A deck of 52 cards is equally dealt to 4 players. Find the number of ways to distribute the cards so that the cards for each player are of the same colour. [Note: in a deck of 52 cards, 26 of them are red (,0), and 26 of them are black ,+).]
In a lottery, each ticket has 5 one-digit numbers 0-9 on it. (with no digit repeating twice) You win if your ticket contains the digits in any order of the winning numbers. e.g. if winning numbers are 1 2 34 5 then a winning ticket could be 13 25 4 What are your chances of winning? [ Select ] In a different lottery, each ticket has 5 one-digit numbers 0-9 on it. (with no digit repeating twice) You win only if your ticket has the digits in the specific order of the winning numbers. e.g. if winning numbers are 1 2 34 5 then only tickets that specifically read 1 2 34 5 are winning tickets What are your chances of winning? [ Select ] [ Select ] 1 / 144 1/ 24 1/ 30240 1/ 256
There is this question in my textbook, what is the answer to this: There are M people in a room, and each person picks a day of the year to get a free dinner at a fancy restaurant. M is such that there must be at least one group of 4 people who select the same day. What is the smallest such M if the year is not a leap year (365 days)?
Suppose I’m placing 6 volumes of a mathematics book series on my shelf, but I’m in ahurry and my office is a mess, so I just put them on the shelf randomly. Assume that allpossible orderings of the 6 volumes are equally likely to occur. Also, note that each volumeis numbered “Volume 1”, “Volume 2”, etc.Let X = the number of volumes that are in the correct spots before the first incorrectlyplaced volume. For example: X = 3 for the arrangement 1, 2, 3, 5, 4, 6, since the first3 volumes are placed correctly, then the 4th spot has Volume 5 in it. Another example:X = 0 for 2, 6, 3, 4, 5, 1, since the very first spot has the wrong volume in it!(a) Find the support for X.(b) Compute the probabilities that X = x for each value x in the support in X.(c) Use the probabilities to determine the formula for the PMF as a singlefunction pX (x) = P (X = x) with input x
Which of the following is equal to C(200, 50) O C(150, 50) O C(200,100) O C(200, 150) O C(150,100) In Pascal's triangle, which row has a sum of 65 536?
How many permutations are there of 40 objects when taken 13 objects at a time, if a particular one of these objects must always be included? a. 13(40-1)!/(40-13-1)! b. 13(40 - 1)!/(40-13)! c. (40 - 1)!/(40-13-2)! d. 13(40)!/(40-13)! e. 40(40 - 1)!/(40-13-2)!
Solve the following problems: (a) How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 employees? (b) A state's license plate has 7 characters. Each character can be a capital letter (A – Z), or a non-zero digit (1 – 9). How many license plates start with 3 capital letters and end with 4 digits with no letter or digit repeated? (c) How many binary strings of length 5 have at least 2 adjacent bits that are the same ("00" or "11") somewhere in the string?
How many numbers have digits which are all ”1”s and ”2”s, and thedigits add up to 8? A few such numbers are 12212, 112121, and 112121. (HINT: breakthe list into cases and count each one. You can count them by hand, but you will savea lot of time if you apply the right formula.)
The populations, P, of six towns with time t in years are given by Answer the following questions regarding the populations of the six towns above. Whenever you need to enter several towns in one answer, enter your answer as a comma separated list of numbers. For example if town 1, town 2, town 3, and town 4, are all growing you could enter 1, 2, 3, 4; or 2, 4, 1, 3; or any other order of these four numerals separated by commas. (a) Which of the towns are growing? (b) Which of the towns are shrinking? (c) Which town is growing the fastest? What is the annual percentage growth RATE of that town? (d) Which town is shrinking the fastest? What is the annual percentage decay RATE of that town? (e) Which town has the largest initial population? 1 P-700(1.14) 2 P=2200(0.91) 3 P 900(0.79) 4 P=2400(0.8) 5 P=1100(1.09) P=1700(1.187) (1) Which town has the smallest initial population? % %
jeans? Ro 3. To login to a particular phone app, users must create a 6-character password using only the digits 0-9. (a) How many unique passwords can be generated given the above requirements? (b) How many passwords are possible if no characters in the password are repeated? (c) How many passwords have 3 as the first character and an even number as the last character? (Here we consider 0 to be an even number.)

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS