Ehsaan and TJ play a game in which Ehsaan flips 2 fair coins, and TJ flips 3 fair coins. Represent each outcome of the game as a pair (E, T ) where E is the number of heads Ehsaan gets, and T is the number of heads TJ gets. (For example, the outcome (2,1) means that Ehsaan flipped two heads and TJ flipped one (E > T

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3 way ven diagram 14 year old spends free time eating junk food exercising or playing video games. over 90 days this is the number days he did each activity. on 25 days he ate junk food on 17 days he was not able to play video games on 19 days he played video games and ate junk food on 22 days he played video games or ate junk food (or both) but did not exercise on 9 days he neither exercised nor ate junk food on 3 days he did none of these things on 2 days got to eat junk food but didnt exercise or play video games Attached is a picture of my answer and I want to confirm i did it correctly.
Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one drawer contains 6 flange nuts, and the other drawer contains 5 hex bolts. In the second box, one drawer contains 4 flange nuts, and the other drawer contains 6 hex bolts. In the third box, one drawer contains 7 flange nuts, and the other drawer contains 4 hex bolts. 1. If he selects a box at random, opens a drawer at random, and finds a flange nut. What is the probability that box I was selected? 2. If he selects a box at random, opens a drawer at random, and finds a hex bolt. What is the probability that box III was selected?
MAKE SURE YOU SELECT 2 ANSWERS FOR THIS QUESTION - Type of test and hypothesis. Professor Ratzo wonders if rats will run a maze faster for some kinds of foods than for others. He randomly assigns 30 rats to one of three conditions, 10 rats to each condition. Group 1 gets buttered bread at the end of the maze, Group 2 gets cheddar cheese, and Group 3 gets honey- glazed ham. The number of seconds each rat took to run the maze is recorded. The hypothesis is that type of food makes a difference in rat running time. Choose the type of test you should use to test this hypothesis? Then choose the correct hypotheses in symbol notation (or words if symbol is not appropriate). Z-test O single sample t-test dependent t-test independent t-test Pearson correlation t-test ANOVA Chi-Square Goodness of Fit Test O Chi-Square Test of Independence O Ho: µ1 - P2 = 0 H1: P1 - P2 # 0 O Ho: H1 - P2 <0
At a county fair, you pay $2 to play the following game: You are given a fair coin, and two bags standin front of you, labelled Bag A and Bag B. You flip a coin: If your coin lands Heads, you pick a ballfrom Bag A. If your coin lands tails, you pick a ball from Bag B. Each ball has a dollar value written onit, and you win the number of dollars shown on the ball. • Bag A contains four (4) balls in total: Three (3) balls show $1, and one (1) ball shows $5.• Bag B contains three (3) balls in total: Two (2) balls show $2, and one (1) ball shows $3.You WIN money if you leave with more money than you started with. You LOSE money if you leavewith less money than you started with. You BREAK EVEN if you leave with the same money that youstarted with.Let H denote the event that you flip heads, T denote the event that you flip tails, W the event that youwin, and L the event that you lose.(i) You pay to play exactly one game. What is the probability that you WIN given thatyou flipped a Heads?(ii)…
likely to get 19. Shreya conducted a study to see if name-brand flashlight batteries last longer than gencric batteries, on avcrage. For each of 20 flashlights, she flipped a coin. If it was heads shc uscd namc-brand batteries and if it was tails she used the generic brand. She left the flashlights on and recorded how long it took for the batterics to wear out. The results showed that the flashlights that had the name-brand batteries, on average, lasted significantly longer than the flashlights that used the generic brand. What type of design is this study? a. This study is an example of a simple random sample. b. This study is an example of a matched pairs experiment. This study is an example of a completely randomized experiment. This study is an example of an obscrvational study. c. d.
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A roulette wheel has 30 slots, consisting of 2 blues, 8 whites, and 20 red slots. You will receive P100 if the roulette stops spinning on a blue slot, you will receive P50 on a white slot, but you will be penalized P10 if the roulette stops spinning on a red slot. Let X be the amount you will recieve (or pay). The probaility of receiving P50 is 2/30 or 1/15, and of receiving P50 is 8/30 or 4/15. What is the probability of penalty of P10? 2/3 1/3 -2/3
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Jon flips a coin and writes down H of heads comes up or T if tails comes up. He does this 3 times. If the order of the results matters, how many possible outcomes are there? 8 9 4 6