. In any 15-minute interval, there is a 20% probability that you will see at least one shooting star.Assuming the arrivals of shooting stars during non-overlapping time intervals are independent.We will find the probability that you see at least one shooting star in a period of an hour byanswering the following questions.(a) It is tempting to calculate the probability using 20%+20%+20%+20% = 4×20% = 80%,as there are four 15-minute intervals in an 1nour. This is wrong. Explain why the answeris flawed. If you don't have a clue, trv to use the same logic to calculate the probabilityof seeing at least one shooting star in a period of two hours.(b) Let A;=observing no shooting star during the ith 15-minute interval, i=1, 2, 3, 4. Howcan you express the event of no shooting star in an hour using A¡'s? Feel free to use theset operations introduced in this class.(c) Express the event of at least one shooting star using A;'s and compute the probabilityof at least one shooting star in a period of an hour.

Given: There is 20% probability that at least one shooting start would be shown

Answered: In any 15-minute interval, there is a…

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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Solve question 3 all parts and show steps for the required parts. Please and thank you.
Answer 3 subparts
Please answer the question : True or false
The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years. The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.
Question 1 According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 20%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 43%. Finally, they list that probability of both happening in the next month is 13%. What is the probability that Elon Musk will offer you a free trip into space in the next month? Round to two decimal places as needed.
A local company has two identical lathe machines which are operated independently. A log is kept for each of the two machines and Table QII below shows the number of times that each machine has been operational in the last twelve months. Lathe Status Number of times working Number of times not working A B 780 650 220 350 Table QII Draw the probability tree diagram and solve following questions Q1 If two machines are dependent what is the probability of either lathe working at the visit of supervisor? Q2 What is the probability that only one lathe would broke down? Q3 What is the probability that at least one lathe would have broken down ?
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Show all your work and explain each step. A laboratory blood test is 0.95 effective in detecting Corona virus, when it is, in fact, present. However, the test also yields a "false positive" result for 1 percent of the healthy persons tested. (That is, if a healthy person is tested, then, with probability 0.01, the result will imply s/he has the Corona virus.) If 0.5 percent of the population in King County has the virus, what is the probability a person has the virus given that his or her test result is positive?
section 5.3 Out of 413 applicants for a job, 127 have over 10 years of experience and 51 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary. Step 2 of 2: Consider that 83 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 yrs of experience, given that the applicant has a graduate degree? round to 4 decimal places
QUESTION 3 At a particular garage 20% of the cars that arrive for repair have engine trouble. Upon arrival at the garage an engine diagnostic test is carried out on the car, but this engine diagnostic test is far from perfect. If the car has engine trouble the diagnostic test will turn out positive with a probability of 0.9. If the car does not have engine trouble, the diagnostic test will turn out positive with a probability of 0.05. For each of the questions below explain your answer i.e. show your reasoning. Q 3(d) If 10 cars arrive to the garage on a particular day, what is the probability that: (i) (ii) none of the cars will have engine trouble. the first car with engine trouble that arrives to the garage that day will be the 4th car.
Question 26 Renee buys a bag of cookies that contains 5 chocolate chip cookies, 7 peanut butter cookies, 5 sugar cookies, and 5 oatmeal cookies. What is the probability that Renee reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie? Round your answer to four decimal places.

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