. 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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The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.
Solve question 3 all parts and show steps for the required parts. Please and thank you.
please only part b,c & d.
Answer 3 subparts
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?
Solve Question 1 and show work. Please and thank you.
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.37. The probability that Napoleon and Pedro catch the bus is 0.66. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.45. The probability that they make it to their first period class on time, given that they catch the bus is 0.71. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.50. What is the probability that Napoleon and Pedro catch the bus?
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.
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.29. The probability that Napoleon and Pedro catch the bus is 0.87. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.81. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
Please provide steps for how you got the solution to the problem provided below. A machine is used to produce one of each of two types of product (A and B) on alternating days, i.e., if A is produced today then B will be produced tomorrow and vice versa. Each day, there is a probability that the machine malfunctions. Malfunction probability after a day of operation is 0.03 when producing A and 0.07 when producing B. Once the machine malfunctions, it is no longer operable and will not be replaced until sometime in the future (beyond modeling horizon). Model the system as a Markov chain (give transition matrix on your paper). Suppose that on Monday product A was produced. Find the probability that the machine is still operable by the morning of Thursday. Your model should have a state ”malfunction”, which cannot transition to any other state other than itself.
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.30. The probability that they make it to their first period class on time, given that they catch the bus is 0.90. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.21. What is the probability that Napoleon and Pedro catch the bus?

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