3. Suppose we consider the following two step experiment:Step1: we roll a fair 3-sided die with labels-1, 2, 3 two times.Step 2: If the sum of the two rolls in Step1 is even we toss a fair coin withP(H) = 0.5Else we toss a coin with P(H) = 0.8Let E = Sum of the two rolls is less than or equal to 3 and F:(a) Draw the labelled tree diagram for this experiment.(b) List out the outcomes in the events E, F, and En F.(c) Calculate P(E), P(F), P(G), P(E|F)(d) Are E and F independent?= Coin lands H.

(a) Labelled Tree Diagram The experiment involves two steps:Step 1: Roll a fair 3-sided die…

Answered: 3. Suppose we consider the following…

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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Last week Tim got a score of X = 54 on a math exam with μ = 60 and σ = 8. He also got X = 49 onan English exam with μ = 55 and σ = 3, and he got X = 31 on a psychology exam with μ = 37 and σ= 4. For which class should Tim expect the best grade?
If X and Y have the joint probability distributionf(x, y) = 14 for x = −3 and y = −5, x = −1 andy = −1, x = 1 and y = 1, and x = 3 and y = 5, findcov(X, Y).
I need the answer as soon as possible
Suppose you want to test how fair is the coin. You conduct the following experiment. You flip the 2 coins multiple times and observe HH - 31 times, HT - 15 times, TH - 15 times, and TT - 22 times. What is the Test Statistics to test the Null Hypothesis that the coin is fair against the alternative hypothesis that the coin is unfair?
1. Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AUB) =0ff Calculate P(A B).
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2. Consider the following three step experiment: Step1: Choose a coin from a bag containing 10 coins, 5 of which are fair F, and the remaining unfair U with P(H) = 0.8. Step2: toss the chosen coin (can land H or T) in Step (1). Step 3: If the coin lands H we roll a fair 4-sided die with labels 3, 4 Else we roll a die with distribution - 1, 2, 1 2 3 4 0.2 0.3 0.2 0.3 1 Let E = Die rolls to an even number, and F = tossed coin is a fair coin, G Coin lands heads. (a) Draw a labelled tree diagram for this experiment. (b) List out all outcomes in the events E, F, and G. (c) Calculate P(E), P(F), P(G), P(E|F), P(F|G), P(E|G) (d) Are E and F independent? Are F and G independent? Are E and G indepen- dent?
(2.1)
QUESTION 4 r=0%, Lisa wants to borrow 100 to open business. Revenue is random y=100 with prob 1/2 and y=300 with prob 1/2. R= Note: select MULTIPLE answers! infinity 50% 100%
10. Consider the following three step experiment: Step1: Choose a coin from a bag containing 10 coins, 9 of which are fair F, and the remaining unfair U with P(H) = 0.8. Step2: toss the chosen coin (can land H or T) in Step (1). Step 3: If the coin lands H we roll a fair 4-sided die with labels 1, 2, 3, 4 Else we roll a die with distribution 1 2 0.2 3 0.3 0.2 0.3 4 Let E = Die rolls to an even number, and F tossed coin is a fair coin, G = Coin lands heads. (a) Draw a labelled tree diagram for this experiment. (b) List out all outcomes in the events E, F, and G. (c) Calculate P(E), P(F), P(G), P(E|F), P(F|G), P(E|G) (d) Are E and F independent? Are F and G independent? Are E and G independent?
Consider the experiment of rolling 3 fair four-sided dice (the numbers on each die are 1,2,3 and 4). X 1, X 2 and X 3 denote the numbers on the first, second, and third die, respectively. Y = X 1+X_2+X_3, the sum of the three rolls. What is E(X_2]Y)? 3.5 O 2.5 OY/2 Y/3 Ox2 X_2
R3.27. How long is 30 seconds? Sofie, Ryan, and Alessandra wanted to design an experiment to find out how distraction affects our ability to judge time. The experiment consisted of starting a clock (out of view of the subject) and then ask- ing the subject to tell them when they thought 30 seconds had passed. For each of four subjects, they repeated the ex- periment eight times under different treatment conditions: eyes open or closed, having music on or off, and sitting or moving around. a) Identify the factors and the factor levels. b) What kind of variable is subject? c) How many runs did they perform? d) They suspect that subjects may do slightly better the more times they perform the task. Ryan argues that ran- domizing the run order but having all four subjects use the same run order is a good idea. Sofie insists that they should randomize the run order for all four subjects. What do you think? Explain briefly.

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