The flow of traffic at certain streetcorners can sometimes be modeled as asequence of Bernoulli trials by assumingthat the probability of a car passingduring any given second is a constant pand that there is no interaction betweenthe passing of cars at different seconds.If we treat seconds as indivisible timeunits (trials), the Bernoulli model applies.Suppose a pedestrian can cross thestreet only if no car is to pass during thenext 3 seconds. Find the probability thatthe pedestrian has to wait for exactly 4seconds before starting to cross.

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Answered: The flow of traffic at certain street…

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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A student will take two trainee selection exams for companies A and B, respectively. He estimates the probability that he will pass the exam.Company A's selection rate is 2/3. In company B, the probability of approval is 3/4. Finally, the probability of being approved in both processes simultaneously is of 50%. Under these conditions, what is the probability of passing only one of the companies?
QUESTION 3It has been established that soccer ace Fernandes chances of scoring a penalty is 70 percent all thetime. However, he is a streak shooter, and if he scores on one shot, his probability of scoring it on thepenalty shot immediately following is 0.85. But it has also been pointed out that another soccer starZlatan chances of scoring a goal in any game is 65 percent all the time. However, since he is a streakstriker, and if he scores in one game, his probability of scoring in the game immediately following is0.75.3.1.Write this in the probability notation. 3.2.Calculate the probability that Fernandes will score the penalties on two consecutive shots. 3.3.Calculate the probability that Fernandes scores a penalty because Zlatan has scored twice. 3.4.Are probabilities that Zlatan scores in second game and that he scores in the third gameindependent in this question? Explain.
.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
Consider an M/M/1 queueing system. Find the probability of finding at least n customers in the system.
In the sport of basketball, a player will sometimes get the opportunity to shoot two free throws without being affected by any other players in the game. Assume that, for one player, these two free throws are independent of each other. If this player makes free throws 80% of the time, what is the probability that this player will make neither free throw in the opportunity?
In the Chernobyl nuclear accident it is estimated that 30,000 people received an average dose of 45 REM. For this population, using the linear hypothesis, how many "normal" deaths from cancer are expected and how many additional deaths from the radiation of the accident? Group of answer choices 500 normal, 6000 additional 1000 normal, 4000 additional 2000 normal, 3000 additional 4000 normal, 1000 additional 6000 normal, 500 additional
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
In a town, there are three bridges: Bridge A, Bridge B, and Bridge C. On any given day, the probability of each bridge being open for passage is as follows: P(A) = 0.4, P(B) = 0.3, and P(C) = 0.5. If a resident needs to cross all three bridges in succession, what is the probability of successfully crossing all three bridges without encountering any closures?
Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85. The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. The probability of surviving 1 year after being…
A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions?

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