Example 8.5 In a group of 200 university students, 140 are full-time (80 females and 60 males) stu-dents and 60 part-time (40 females and 20 males) students. This break-up of students is shown below:200 University StudentsPart-timeFull-timeTotal602080MalesFemales8040120Two events pertaining to this selection are defined as below:Event A: The student selected is full-time.Event B: The student selected is part-time and male.These two events A and B are mutually exclusive as no student can be both full-time and part-time.Either he or she is a full-time or a part-time student. Show these events in the Venn diagram.Now, introduce another event C, which is defined as 'the student selected is female'. Are the eventsA and C mutually exclusive? Show this in another Venn diagram.ANDАB140( 20 )slegendum se inzwonut sih beul sur hans d'amVenn DiagramFig. 8.240

Answered: Image /qna-images/answer/7ac62723-8e78-4b64-9b0d-d7ee74bb2052.jpg

Answered: Example 8.5 In a group of 200…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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129 people seated at different tables in a Mexican restaurant were asked if their party had ordered any of the following items: nachos, chili con queso, or quesadillas. The following is what was found: 11 people had ordered all three of these items. 51 people had ordered quesadillas. 50 people had ordered nachos 65 people had ordered chili con queso. 13 people had ordered nachos and quesadillas. 26 people had ordered nachos and chili con queso. 20 people had ordered quesadillas and chili con queso. Fill in the Venn diagram based on the information above. Orders of People at Mexican Restaurant
a. A marine biologist measures the effectiveness of mating displays among tortoises in one of six environmental conditions. Ten tortoises are randomly assigned to each condition. (for this item, also give the degrees of freedom) b. A neuropsychologist measures the behavioral response to electrical stimulation in one of five brain regions. c. A sociologist records the number of children born in a local village each season (spring, summer, fall, winter) in a single year. d. A social psychologist has participants rate the likability of a person described as having one of three types of leadership styles. The breakdown of leadership styles is 25 autocratic, 25 bureaucratic, and 25 democratic. (for this item, also give the degrees of freedom) For items (a) – (d) identify the following: k? N? n? (assumed equal size groups)? What is the decision at 0.05 level of significance for each of the following tests? Are post hocs necessary? a. F(3, 28) = 3.00 b. F(1, 40) = 4.98 c. F(4, 30) = 2.72 d.…
A tennis tournament is being held with n tennis players participating. The system used in these tournaments is that each player will play against every other player exactly once. a. How many matches between players? b. What is the number of possible possible outcomes of the entire game?
. Given events A, B and C such that A and B are mutually exclusive, A is a subset of C, P(B) = 1/2, P(C) = 3/4, P(B and C) = 3/8, and P(A and C) = 1/4, Calculate: P(A) P(C and notA) P(B or C) P(notA or B) P(B | notC)
a. A random sample of 150 approved mortgage applications is selected from a bank's database. Customers of this bank can choose either variable or interest-only mortgages. These mortgage choices have either a 20-year or 30-year term. The data are displayed i table below. Term Type of Mortgage 20-year Total 30-year 25 Variable 45 Interest Only 40 40 Total Use the table above to answer the questions below. i. If an approved application is selected at random, what is the probability that it is a 30-year term application? ii. If an approved application is randomly selected, what is the probability that the mortgage choice is variable and has a term of 20 years or is interest only and has a term of 20 years?
1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a recent competition, forty couples competed. Their numbers are listed below: 109 111 118 122 123 128 132 136 145 153 160 165 171 176 182 184 188 190 193 199 202 205 210 213 217 222 230 233 236 243 248 252 255 258 264 270 273 276 281 287 Dances at the competition are organized into heats, with each heat consisting of a particular group of dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for twelve heats of ChaCha, Rumba, and Swing: Heat 39 Heat 40 Heat 41 Heat 42 Heat 43 Heat 44 Chacha Rumba Swing Chacha Rumba Swing 109 109 109 128 123 122 123 122 123 136 128 128 136 165 190 153 165 136 176 176 222 160 184 145 188 182 230 176 199 153 217 243 205 205 160 193 258 233 213 184 213 222 264 243 233 255 252 233 264 248 264 264 264 276 270 255 281 270 276 281 Heat 49 Heat 50 Heat 48 ChaCha Heat 46 Heat 47 Heat 45 ChaCha Rumba Swing…
1. How many different distinguishable ways can the letters of each word can be arranged? a. PROBABILITY b. CALCULATIONS c. DISTINGUISHABLES
Import customs officials sometimes randomly select crates of cargo for close, but time-consuming, inspection. Suppose there are nine crates of cargo from the following companies, each containing several hundred items. Customs officials will randomly select four for close inspection. 1. Ravenburg 4. Dallhoise 7. Cherryport 2. Corsair 5. Baggate 8. Foxwood 3. Sapphire 6. Strommond 9. Bamboro To do this, officials will use the numerical labels attached to the previous names and the following list of random digits, which they will read from left to right, starting at the beginning of the list.748803 12009 45287 71753 98236 66419 84533 11793 20495 05907 11384The simple random sample is: a. 7483. b. Cherryport, Dallhoise, Foxwood, and Sapphire. c. 7488. d. Cherryport, Foxwood, Bamboro, and Strommond.
In a race in which seven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
1. A bag of balls contains 5 different colored balls that are alike except for the color. The colors are red, yellow, blue, green, and orange. If 3 balls are selected at random (without replacement), how many combinations are possible?
(Using sets) In a study carried out with 260 university students, the following data was obtained: - 64 had taken a math course- 94 had taken a computer science course- 58 had taken a business administration course- 28 had taken a math course and a business administration course- 26 had taken a math course and a computer science course- 22 had taken a computer science course and a business administration course- 14 had taken all three types of courses a. How many students whose records were reviewed had not taken any of the three types of courses?b. Of the students whose records were studied, how many had taken only one computer science course?

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