Answer this data managment lab. I have already answered most questions which I belive are all right so please only answer the blank questions so the ones I have not already filled in. So this means question 5 C and & on the third page and 2 B and 3 on the fourth page. you can base the answers off my previous answers. please right answers on paper and make sure theyre correct ill make sure to thumbs up multiple times thanks a ton. Activity A (continued from previous page)4. Turn off Show theoretical probabilities. Change the Sections in the spinner to 7, theNumber to 4, and the sign to ≥.A. In this game, what are the favorable outcomes? 4.5.6.7B. How many possible outcomes are there?7C. What is the theoretical probability of a favorable outcome? Give your answer as afraction and as a percentage. 4/7,57%Turn on Show theoretical probabilities to check.5. The experimental probability of an outcome is the fraction (or percentage) of times theoutcome occurs in an experiment. On the EXPERIMENTAL tab, run 100 trials.A. How many favorable outcomes occurred? 60B. What is experimental probability of a favorable outcome?41%C. How did the experimental probability compare to the theoretical probability youcalculated above?Activity B:Two-spinnergamesGet the Gizmo ready:⚫ Select the EXPERIMENTAL tab.Next to Number of spinners, select 2. Set theSections of each spinner to 2, and the sign to1. In this game, two spinners are spun. If the spinners show the same number, the outcome isfavorable. If the spinners show different numbers, the outcome is unfavorable.A. What are the possible outcomes of spinning these two spinners? List outcomes aspairs. For example, (1, 1) is a "1" on each spinner. (1,2) (2,2),(2,1)B. How many of the outcomes are favorable?6/10C. What do you think is the theoretical probability of a favorable outcome?noD. On the THEORETICAL tab, turn on Show theoretical probabilities. Were youcorrect? yes, the theoretical probability is 50%2. Turn off Show theoretical probabilities. Set up thistwo-spinner game as described below.Possible blue outcomes1 2 3 4 51nvyyy2.Set the red spinner Sections to 6.n nyyy3nnnVy•Set the blue spinner Sections to 5.=4nnn ny•Select (Favorable outcome is red el GizmosëlName: mythiliDate:16 novActivity A:Get the Gizmo ready:One-spinnergames• With Number of spinners set to 1, set Sectionsto 3, Number to 1, and the sign to1. The set of all possible outcomes make up the sample space of an experiment.Student Exploration: Theoretical andExperimental ProbabilityVocabulary: experimental probability, law of large numbers, outcome, probability,sample space, theoretical probability, trialPrior Knowledge Question (Do this BEFORE using the Gizmo.)Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1to 6. They start by spinning to see who will go first. (Highest number will go first.)1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?1/6 x 3 = 1/2A. What are the possible outcomes of each spin of this spinner? 1,2,3because anyB. Is each outcome equally likely? yes How do you know?outcome can come and the proababiltiy of each outocme is come is equalC. Of these outcomes, how many are favorable? 1D. What do you think are the chances of a favorable outcome on one spin? 1/3E. How many favorable outcomes do you expect in 100 spins? 30F. Click Run 10 trials 10 times. How many favorable outcomes occurred? 36Was this close to what you predicted?yes2. Next, Margaret spins a 5. How likely do you think it is that James will get a higher number?1/6 x 1 = 1/6Gizmo Warm-upThe probability of an event is the likelihood that the event will happen.Probability is given as a number that ranges from 0 (impossible) to 1(certain). You can explore probability using numbered spinners with theTheoretical and Experimental Probability Gizmo.5671. To begin, check that the Number of spinners is 1, Sections is 6, Number is 2, and thesign is chosen. In this game, a win (a favorable outcome) occurs if the spinner lands on 2.How likely do you think it is that a player will win the game? Explain.of outcomes is 6 and the desired outcome is only 1(2).1/6.Because the total no.2. On the EXPERIMENTAL tab, click Run 1 trial. What was the outcome? favorable outcome.experimental probability:100%3. Click Clear. Then, click Run 10 trials. How many trials were favorable? 2 trials4. Click Run 10 trials 5 more times so there are a total of 60 trials. How many favorableoutcomes did you get out of 60 trials? 9= 12. Select the THEORETICAL tab. The tab shows a table of outcomes. The red numbers showthe possible numbers on the spinner, and the blue number represents the selected number.In the table, Y represents a favorable outcome, while N represents an unfavorable outcome.A. How many outcomes are favorable?B. How many outcomes are listed? 31C. What fraction of the total outcomes is favorable?1/3D. What fraction of the total outcomes is unfavorable? 2/33. Turn on Show theoretical probabilities. The table shows the number of favorable andunfavorable outcomes, and the theoretical probabilities as fractions and percentages.A. What is the theoretical probability of a favorable outcome? 33%,1/3B. What is the theoretical probability of an unfavorable outcome? 67%,2/3C. How do these fractions compare to what you calculated in questions 2C and 2D?they are the sameD. What is the sum of the favorable and unfavorable probabilities? 100%=100/100(Activity A continued on next page)

5B) 60 out of 100 trials are favorable, so experimental probability of favorable outcome is 60% (not…

Activity A (continued from previous page) 4. Turn off Show theoretical probabilities. Change the Sections in the spinner to 7, the Number to 4, and the sign to ≥. A. In this game, what are the favorable outcomes? 4.5.6.7 B. How many possible outcomes are there? 7 C. What is the theoretical probability of a favorable outcome? Give your answer as a fraction and as a percentage. 4/7,57% Turn on Show theoretical probabilities to check. 5. The experimental probability of an outcome is the fraction (or percentage) of times the outcome occurs in an experiment. On the EXPERIMENTAL tab, run 100 trials. A. How many favorable outcomes occurred? 60 B. What is experimental probability of a favorable outcome? 41% C. How did the experimental probability compare to the theoretical probability you calculated above? Activity B: Two-spinner games Get the Gizmo ready: ⚫ Select the EXPERIMENTAL tab. Next to Number of spinners, select 2. Set the Sections of each spinner to 2, and the sign to 1. In this game, two spinners are spun. If the spinners show the same number, the outcome is favorable. If the spinners show different numbers, the outcome is unfavorable. A. What are the possible outcomes of spinning these two spinners? List outcomes as pairs. For example, (1, 1) is a "1" on each spinner. (1,2) (2,2),(2,1) B. How many of the outcomes are favorable? 6/10 C. What do you think is the theoretical probability of a favorable outcome? no D. On the THEORETICAL tab, turn on Show theoretical probabilities. Were you correct? yes, the theoretical probability is 50% 2. Turn off Show theoretical probabilities. Set up this two-spinner game as described below. Possible blue outcomes 1 2 3 4 5 1 nvy yy 2 . Set the red spinner Sections to 6. n ny yy 3 nnn Vy • Set the blue spinner Sections to 5. = 4 nnn ny • Select (Favorable outcome is red

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ