One 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 Jake arrivinglate to work is 0.31, then recording whether he is late or on-time can be modeled by a toss of an unfaircoin for which Heads is associated with Late and Tails with On-Time. Thus, the probability of Jake arrivingto work late 2 times on any 10 days is exactly the same as the probability of getting 2 heads from tossingthe coin 10 times and can be computed using the following formulaP(kH/n) = Cp*(1-p)"-kwith n = 10, k = 2, and p = 0.31:P(2H/10) = C₂⁰ -0.31² -0.69845-0.0961 -0.05138 = 0.2222Find the probability of Jake arriving to work late 6 times on any 9 days:(Round the answer to 4 decimal places.)

given data P(x=k) = nCkpkqn-k _______binomial distributionn = 9P(late to work) = p = 0.31k = no. of…

Answered: One of the reasons why the concept of…

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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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 Shanice saving a penalty kick is 0.28, then saving a penalty kick can be modeled by a toss of an unfair coin for which Heads is associated with Saving and Tails with Missing. Thus, the probability of Shanice saving 2 penalty kicks out of 6 attempts is exactly the same as the probability of getting 2 heads from tossing the coin 6 times and can be computed using the following formula P(kH/n) Chp(1 - p)n-k with n = 6, k = 2, and p = 0.28: P(2H/6)=C₂-0.28² -0.724=15-0.0784-0.268739 = 0.316 Find the probability of Shanice saving 3 penalty kicks out of 7 attempts: (Round the answer to 4 decimal places.)
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company reports it can resolve customer problems the same day they are reported in 70% of the cases. Suppose the 12 cases reported today are representative of all complaints. what is the probability 10 of those problems can be resolved today?
It is known that 1/3 of the probability of getting rid of a disease. What are the chances of getting rid of more than 3 out of 8 people who get this disease but 6 or less?
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 Laverne getting a hit when at bat is 0.36, then batting can be modeled by a toss of an unfair coin for which Heads is associated with Hitting and Tails with Missing. Thus, the probability of Laverne getting 3 hits out of 6 batting attempts is exactly the same as the probability of getting 3 heads from tossing the coin 6 times and can be computed using the following formula P(kH/n) = Cp*(1-p)"-k with n=6, k = 3, and p = 0.36: P(3H/6)=C-0.36³-0.64³20-0.046656 -0.262144 = 0.2446 Find the probability of Laverne getting 2 hits out of 9 batting attempts: (Round the answer to 4 decimal places.)
The local weather forecaster predicts that there is a 12% chance of rain on each day next week. Assuming his prediction is accurate and that the chance of rain in a given day does not depend on the chance of rain in a different day, what is the probability it will rain on at least 4 of the days next week?
During an episode of tonight show, a talk show host related "The birthday problem " to the audience noting that in a group of 50 or more people, probablists have calculated that the probability of atleast 2 people having the same birthday is very high. To illustrate this point he proceeded to conduct his own experiment. A person selected at random from the audience was asked to state his birthday. The host then adked whether anyone in the audience had the same birthday. The response was negative. He repeated the experiment. Once again the response was negative. These results observed the host,were contrary to expectations. In a later episode of the show, the host explained why the experiment had been improperly conducted. Explain why the host failed to illustrate the point he was trying to make in the earlier episode
The probability of the Dow Jones index rising on the first day of trading next week is thought to be 0.6. If it does rise then the probability that the value of shares in a publishing company will rise is 0.8. If the index does not rise then the publishing company’s shares will only have a 0.3 probability of rising. What is the probability that the publishing company’s shares will rise in value on the first day of trading next week?
Suppose there is a 3/10 chance of snow each day this week. What is the probability that it will snow every day this week?
Multiple studies conducted in the United States, Canada, Germany, and the United Kingdom show that the probability of dying in the hospital is higher if you are admitted on the weekend. Why might this be? What factors might contribute to this probability? What could hospitals do to reduce/eliminate this phenomenon?
An assembly line produces a tool. The parts are independently sampled one at a time and tested for compliance. Historically, 0.15 of the parts have been found to be non-compliant. What is the probability that the 6th sampled part will be the 3rd part found to be non-compliant?

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