Question 8One of the reasons why the concept of an unfair coin is important in probability is that many real-lifeexperiments can be modeled by a toss of an unfair coin. For example, if the probability of Ana Paula savinga penalty kick is 0.21, then saving a penalty kick can be modeled by a toss of an unfair coin for whichHeads is associated with Saving and Tails with Missing. Thus, the probability of Ana Paula saving 3 penaltykicks out of 6 attempts is exactly the same as the probability of getting 3 heads from tossing the coin 6times and can be computed using the following formulaP(kH/n) = Cp (1 - p)n-kwith n = 6, k = 3, and p = 0.21:P(3H/6)= C -0.21³-0.79³ 20-0.009261-0.493039 = 0.0913=Find the probability of Ana Paula saving 4 penalty kicks out of 7 attempts:(Round the answer to 4 decimal places.)

Here's given that probability of saving penalty is 0.21. And 4 attempts out of 7 kicks.

Answered: Question 8 One of the reasons why the…

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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QUESTION 8 You are given the following table with joint probabilities for X and Y (i.e. bivariate probability distribution). 0.12 0.42 0.06 0.6 0.3 0.1 y 1 0.21 0.06 0.03 0.07 0.02 0.01 0.4 0.5 0.1 1.00 The expected value of Y is: E[Y] = 0×0.3 + 1×0.6 + 2×0.1 = 2.90 O True O False o o o
Question 6 One of the reasons why the concept of an unfair coin is important in probability is that many real-life experiments can be modeled by a toss of an unfair coin. For example, if the probability of Stacey scoring a free throw is 0.42, then scoring a free throw can be modeled by a toss of an unfair coin for which Heads is associated with Scoring and Tails with Missing. Thus, the probability of Stacey scoring 4 free throws out of 9 attempts is exactly the same as the probability of getting 4 heads from tossing the coin 9 times and can be computed using the following formula P(kH/n) Chp(1 - p)" with n = 9, k = 4, and p = 0.42: = P(4H/9) = C2 0.424 - 0.585 Find the probability of Stacey scoring 4 free throws out of 8 attempts: 126 -0.031117-0.065636 = 0.2573 (Round the answer to 4 decimal places.)
Question 2 You volunteer at a bookstore and are helping to pick up books from the old-book bin for recycling. The bin consists of 35 history books, 20 language books, and 5 science books. All the books have same cover and of same size, that is picking up a book is a random choice. (a) If you randomly pick up 5 books, what is the probability that more than half are history books? (b) If you randomly pick up 5 books, what is the probability that 2 are history, 2 are language and I is science? (c) Assume you randomly pick up a book for a check and then return it back to the bin, while repeating this process 3 times, what is the probability that all 3 are history books?
Question 2 (a) One of the famous fast-food chains in Malaysia has a brand name recognition rate of 95% around the world. If we randomly select 16 people, (i) compute the probability that exactly 13 people recognize the brand. (ii) compute the probability that between 5 and 12 people do not recognize the brand.
Question 5: According to the Pew Internet & American Life Project, 54% of Internet users have a wireless connection to the Internet via a laptop, cell phone, game console, or other mobile device. Given that users have a wireless, 25% use Twitter to share updates about themselves. What is the probability that an Internet user has a wireless connection and also uses Twitter? O 54% +25% -79% 25%/54%-46.3% 54%/25%-2.16 54% 25 % -13.5%
QUESTION 11 A critical thinking professor asked her students to indicate whether they believed each of two headlines. One headline was false, and the other was true, but the students did not know this. The probability that a student selected at random believed the true headline was 89% and the probability that the student believed the false headline was 85%. She found that 7896 of the students believed both headlines. a. In this sample, are the events "believed the false headline" and "believed the true headline" mutually exclusive? Explain b. Find the probability that a randomly selected student from this sample believed the true headline OR believed the false headline. T TTT Paragraph Arial 3 (12pt) T O Mashups HTML CSS Words:0 Path: p Click Save and Submit to save and submit. Click Sae All Answers to save all answers. >8 0
In a certain computer game, an alien monster roams the screen intending to eat your character. You are armed with a pistol. If you have one out of twelve chance of hitting the monster if you fire randomly, what is the probability that it will take you 15 shot to hit the monster?
Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?
Question 9 A batch of 400 LEDS contains 7 that are defective. This is known to be the long-term average for the production. The company sells boxes with 50 LEDS in each box. (a) What is the probability there are 1 or more defective bulbs in a box? (b) If three LEDS are selected at random from a box, what is the probability that the third one selected is defective given that the first one selected was not defective and the second one selected was defective? (c) Boxes are returned if 3 or more are defective. What is the probably a box will be returned?
Question 1 A store-bought pregnancy test produces a correct result 99% of the time when a woman is actually pregnant but is only 97% accurate when a woman is not pregnant. What are the chances of a false positive and a false negative respectively? Question 2 Assuming a woman has a 90% chance of actually being pregnant when she takes the test, and that she takes TWO tests (requiring the same signal from both tests to either confirm OR reject) what is the probability of she will get a "double positive" result? Also, what is the probability of an "uncertain" result (one of each)?
QUESTION 2 It is known that 14.5% of adult men in the United States are 6 ft tall or taller. Assume that the heights of adult men in the United States are independent of each other. Suppose a random sample of 8 adult men in the United States is taken. What is the probability that 2 or 3 men in the sample are 6 ft tall or taller? O A. 0.208 OB. 0.308 OC. 0.408 O D. 0.508
Question 2 A new drug is in the process of being approved by the FDA. The drug is being tested in 10 mice, and there is a 8% chance that a mice will die from the drug in the trial. Calculate the probability exactly two mice die. 14.8% 4.3% 8% 84.2%

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