The probability that a particular type of smoke alarm will function properly and sound an alarm in thepresence of smoke is 0.80 Suppose you have 2 such alarms in your house and they operate independtly.If a burnt hamburger causes your house to fill with smoke, what is the probability that at least one of thetwo alarms will sound?0.960.80O 0.04O 0.64

A number of events are said to be independent if the probability of occurrence of any one of them is…

Answered: The probability that a particular type…

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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When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The probability that he has to stop at the first is 0.33, while the probability he has to stop at the second set is 0.41. Also, the probability he does not have to stop at either traffic light is 0.31. What is the probability he has to stop at exactly one set of traffic lights?
The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
The probability that a student will pass in the Economics test is 2/3, and that a vill not pass in the English test is 5/9. If the probability of his passing in at ne ane of these two tests is 4/5 , find the probability that he will pass in both 20 is the tests. CS Scanned with CamScanner
Which of the following cannot be a probability? O a. 2/9 O b. 0.16 с. 1 O d. 7/3
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.
a. In CSE230, there were 2 assignments this semester. The probability that you would get above average marks in the first and the second assignments are 0.7 and 0.6 respectively. But if someone gets the above average marks in the first assignment, the probability of getting above average marks in the second assignment becomes 0.9. What is the probability to get above average marks in both the assignments?
Answers must be in 4 decimals 1. The probability that IEntelligent will open a review center in Quezon City is 0.7, the probability that is will open a review center in Laguna is 0.4, and the probability that it will open a review center in either QC or Laguna or both is 0.8. what is the probability that IEntelligent will locate in both locations? 2. The probability that IEntelligent will open a review center in Quezon city is 0.7, the probability that is will open a review center in Laguna is 0.4, and the probability that it will open a review center in either QC or Laguna or both is 0.8. What is the probability that IEntelligent will locate in QC only?
If the probability that a surgical operation will be successful is 0.80, In a certain day 3 operations will be performed. The probability that exactly one of them will be successful is O 0.096 O 0.008 O 0.512 O none O 0.128 O 0.384
Suppose the probability that a basketball player hits a basketon a free throw is 0.91, and that the throws are independent. Consider that the player continues through rolls until he makes a mistake. What is the probability that on his 5th or 3rd free throw does he make the first mistake?
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
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.
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.

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