(25 pt.) You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You linethem up in some random order on your tile rack (assume all orderings are equally likely).The events M, T, and S are defined as follows:M: The tiles M, A, T, H appear consecutively.T: The tile T appears exactly in the middle (fourth position).S: The tile S is either in the first position or in the final position.5.1 (9 pt.) Calculate the probability of each event; that is, p(M), p(T), and p(5).5.2 (4 pt.) What is p(M/T)?5.3 (4 pt.) What is p(M|5)?5.4 (4 pt.) What is p(T|S)?5.5 (4 pt.) Consider all pairs of events: (M,T), (M,S), and (T.S). Which pairs of events areIndependent and which pairs of events are not independent? Justify your answer.

Let's solve this problem step by step.5.1 Calculating the probability of each event:p(M): There are…

Answered: (25 pt.) You are playing Scrabble and…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Can u solve this ?
Transcribed Image Text 7-a) Danish works as a constructor. Like all constructors, he is also a beer fan. He likes beer so much that has K cups of beer daily. However, having more than K cups doesn't suit him, because the excess beer won't allow him to sleep at night. Danish's working day is divided into N periods. For every period, he knows how many kilobytes of weight he can lift. During each of the periods, Danish can either have or not to have one bottle of beer. If he is having a bottle of beer in some period, the amount of work in this period drops to zero. But he also gets a productivity boost, if he decides to skip beer during a period and the last bottle of beer, he had was no more than D periods ago, the amount of work during such a period is M times the usual.
[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…
Programming Language :- C
Bus Loading Problem. You are in charge of filling busses with passengers at a bus terminal. Each bus has space for ten (10) passengers. Four (4) of those spaces can hold only wheelchair passengers, and the other six (6) can hold only non-wheelchair passengers. Busses and both types of passengers arrive at random. As busses arrive, you are to fill them up with passengers. Once a bus is full (containing 6 non-wheelchair, and 4 wheelchair passengers), it is allowed to leave the terminal, along with its passengers. You are responsible only for loading the passengers on the bus and having the bus depart. You do not need to worry about what happens to the busses or passengers after they leave. Each bus process has available to it the functions ArriveAtTerminal(), OpenDoors(), CloseDoors(), and DepartTerminal(). Each passenger process has available to it the functions ArriveAtTerminal() and GetOnBus(). Executing GetOnBus() loads the passenger on the bus, and the function returns when the…
nbm.m//,//
Lucky Pairs Richie and Raechal are participating in a game called "Lucky pairs" at the Annual Game Fair in their Company. As per the rules of the contest, two members form a team and Richie initially has the number A and Raechal has the number B.There are a total of N turns in the game, and Richie and Raechal alternatively take turns. In each turn, the player's number is multiplied by 2. Richie has the first turn. Suppose after the entire N turns, Richie’s number has become C, and Raechal’s number has become D, the final score of the team will be the sum of the scores (C+D) of both the players after N turns. Write a program to facilitate the quiz organizers to find the final scores of the team. Input and Output Format:The only line of input contains 3 integers A, B, and N.Output a single line that contains the integer that gives the final score of the team which will be the sum of the scores of both the players after N turns.Refer sample input and output for formatting specifications.…
Java - Remove Gray from RGB
Part 2 only
In OCaml Programming Language:
1.In an ancient land, the beautiful princess Eve had many suitors. She decided on the following procedure to determine which suitor she would marry. First, all of the suitors would be lined up one after the other and assigned numbers. The first suitor would be number 1, the secondnumber 2, and so on up to the last suitor, number n. Starting at the first suitor she would then count three suitors down the line (because of the three letters in her name) and the third suitor would be eliminated from winning her hand and removed from the line. Eve would then continue, counting three more suitors, and eliminating every third suitor. When she reached the end of the line she would continue counting from the beginning. For example, if there were 6 suitors then the elimination process would proceed as follows:123456 initial list of suitors, start counting from 112456 suitor 3 eliminated, continue counting from 41245 suitor 6 eliminated, continue counting from 1125 suitor 4 eliminated, continue…
C++ Programming, Arrays Lights The park is illuminated by n (1 < n < 100) lights. Each of them shines all night or not. Of course, which lights were on the first night and which were not. Every other night the condition of the lamps shall be determined by the following rules: the lamp will not illuminate if both of its neighbors were lit last night; the lamp shall illuminate if one of its neighbors was illuminated last night and the other was not; if neither of the first two rules applies to the lamp, it will illuminate when the night is even and will not illuminate when the night is odd. Create a program to determine which lights are on and which will not be lit when k (1 < k < 100) nights have elapsed, and to find which night the most lights were lit and which the least. If there are several identical nights with the most or least lights lit, the night with the lower number must be indicated. The first line of the original data file contains two integers: the number of…

SEE MORE QUESTIONS

Recommended textbooks for you

Database System Concepts

Computer Science

ISBN:

9780078022159

Author:

Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:

McGraw-Hill Education

Starting Out with Python (4th Edition)

Computer Science

ISBN:

9780134444321

Author:

Tony Gaddis

Publisher:

PEARSON

Digital Fundamentals (11th Edition)

Computer Science

ISBN:

9780132737968

Author:

Thomas L. Floyd

Publisher:

PEARSON

Database System Concepts

Computer Science

ISBN:

9780078022159

Author:

Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:

McGraw-Hill Education

Starting Out with Python (4th Edition)

Computer Science

ISBN:

9780134444321

Author:

Tony Gaddis

Publisher:

PEARSON

Digital Fundamentals (11th Edition)

Computer Science

ISBN:

9780132737968

Author:

Thomas L. Floyd

Publisher:

PEARSON

C How to Program (8th Edition)

Computer Science

ISBN:

9780133976892

Author:

Paul J. Deitel, Harvey Deitel

Publisher:

PEARSON

Database Systems: Design, Implementation, & Manag…

Computer Science

ISBN:

9781337627900

Author:

Carlos Coronel, Steven Morris

Publisher:

Cengage Learning

Programmable Logic Controllers

Computer Science

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS