ProbabilityFor each observation pairExample 5-31. A random observation ona bivariate population (X, Y) can yield one of the (1, 1) ; (2, 1) ; (3, 3 ) ; (4, 3)following pairs of values with probabilities1noted against them :1201(3, 1) ; (4, 1) ; (1, 2) ; (2, 2) ;(3, 2); (4, 2); (1, 3) ; (2, 3)10Find the probability that Y = 2 given that X = 4. Also find the probability that Y = 2. Examineif the two events X = 4 and Y = 2 are independent.%3D%3D%3D

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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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Tip at least 20% Tip less than 20% Works or worked in service industry 22 5 Never worked in service industry 36 8 Find P(individual has worked a service industry job) (2) Find P(individual either has never worked in the service industry or tips less than 20%) (4) Find P(individual has never worked in the service industry and tips less than 20%) (4) Find P(Tipping at least 20% | Service industry worker) (4) Find P(Two people both tip at least 20%)
9. The table below shows the distribution of the heights among 30 people chosen at random. Relative frequency fi 0.0667 Relative cumulative frequency Fi Height Frequency hị Xi [155;160[ [160;165[ [165;170[ [170;175[ [175;180[ [180;185[ [185;190[ Total 2 0.0667 4 0.1333 9. 0,1667 3 0.1667 2 30 a) Account for the column “Relative cumulative frequency, Fi, and complete the missing parts in the table.
3. (Competing patterns among coin flips) Suppose that Xn, n > 1 are i.i.d. random variables with P(X1 = 1) = P(X1 = 0) = }. (These are just i.i.d. fair coin flips.) Let A = (a1, a2, a3) = (0, 1, 1), B = (b1, b2, b3) = (0,0, 1). Let TA = min(n 2 3: {Xn-2, Xn-1, Xn) = A} be the first time we see the sequence A appear among the Xn random variables, and define TB similarly for B. Find the probability that P(TA < TB). (This is the probability that THH shows up before TTH in a sequence of fair coin flips.)
Please I want a handwritten solution, not printed
3. An integer is randomly chosen from the set 1, 2,..., 100. If this integer is divisible by 2 we let Y = 0, and if it is not divisible by 2 but is divisible by 3 then Y = 1. We let Y = 2 in all other cases. Find mean and variance of Y.
Suzette does an experiment where she collects date from 5 women snd obtains the scores: 4, 4, 5, 2, 5. She hypothesizes that the population mean for the population from which these scores are drawn is 3. She wants to test whether this hypothesis is true. What is the alternative hypothesis she is testing?
An arcade machine costs one dollar to play. Every time you play, there is a 1/10 chance of winning.(a) Let A be the number of times you play until you win. Find the variance Var[A].(b) Ten people play the arcade machine; each one keeps playing until they win, and thenit’s the next person’s turn. Let B be the number of times they play in total. Find thevariance Var[B].(c) Ten years later, you come back to the arcade machine, and it’s exactly the same, exceptthat due to inflation, the machine costs $10 to play.Let C be the the total cost of playing until you win. Find the variance Var[C].
Seniority and salary:|A personnel specialist with a large accounting firm is interested in determining the relationship between seniority and hourly wages for administrative assistants. She randomly selected 21 administrative assistants and records their years with the company and hourly wage. Seniorit 2 3 6 5 3 1 1 2 3 5 4 1 2 3 4 4 Wage 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 4 4 3 2 5 5 4 3 2 3 4 3 3 6. 5 Is seniority related to hourly wage? How does the specialist know? What hourly wage would the specialist predict for an administrative assistant with 3 years seniority? How would she make this prediction? H st
14 of 2 1) Listen A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored 230, 540, 420, 430, 540, 560, 275, 50, 250 Joey is the 10th player, and his score is recorded with the first 9 scores after his turn, If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score? Enter your answer as a number, like this: 42 GeoGebra Graphing Calculator Next MacBook Air DD F12 F11 F10 吕0 88 F8 F7 F5 F4 F3 F2 F1 %23 $ % 云。
(a) In an experiment, a pair of dice (green and blue) are tossed and the numbers that come up are recorded. Assume that the first outcome is for the green die whereas the second outcome is for the blue die. (i) List the sample space S; (ii) List the elements for event X = {sum is greater than 8}; (iii) List the elements for event Y = {2 occurs on either die or both}; (iv) List the elements for event Z= {number greater than 4 comes up on the green die}; (v) List the elements corresponding to the event X Z; (vi) List the elements corresponding to the event Y N Z;
A 25 https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld3595780699&questionld31&flushed=false&cld%36482 4SP2021 General Statistics (MAT-112-01A) Homework: Chapter 2 (Sections 2.4-2.5) Score: 0 of 4 pts 1 of 11 (0 complete) ▼ 2.4.15 The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 20, 23, 13, 13, 18, 21, 17, 15, 15 O The range is- (Simplify your answer.) Enter your answer in the answer box and then click Check Answer Clear ll parts remaining

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