Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?

Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: a new surgical procedure in preliminary trials has a probability of success of 80%. if 10 patients…

A: Let X denote the patients are scheduled to go through this procedure and it follows binomial…

Q: Consider the following simple linear regression model: y = Bo + B₁x+u. Using a sample of n…

A: Regression analysis

Q: Chris will work on a consulting project for 5 days. During these five days, the probability that…

A: Ans . Here it is given that the probability that Chris applies for sick leave on any particular…

Q: Jim has to take two consecutive exams to get a certificate. The probability for him to pass the…

A: The conditional probability of happening of event A when event B already happened, can be expressed…

Q: To generate leads for new business, Gustin Investment Services offers free financial planning…

A: From the given information ,Total number of trials , n = 25 Each seminar costs Gustin = $3900the…

Q: Of the 12 times a bird lands in a tree, he chooses a red maple 4 times. Find the empirical…

A: Given that of the 12 times a bird lands in a tree, he chooses a red maple 4 times. We have to find…

Q: placekicker in pro football has a 77% probability of making a field goal over forty yards on each…

A: Given: Each attempt that is made to field goal is independent. The team will win if a goal is made…

Q: A military commander wants to destroy an enemy underground bunker. Each plane he sends out has a…

A: Solution : P = probability of scoring a direct hit on bunker = 0.8 n = no. of assaults commander…

Q: A doctor preformed a study on 100 patients taking medication for the same illness. At the end of the…

A: Design of experiments

Q: Sam is an archer and hits targets with 70% accuracy. If shots are independent of each other, what is…

A: Given Sam is an archer and hits targets with 70% accuracy and shots are independent of each other.…

Q: The number of trees planted at FRIM is not more than 45 trees a day. The probability that there are…

A: From the information, given thatLet X denotes the number of trees planted in a day

Q: A flower shop is about to close for the day when a customer walks in a hurry and asks for a bouquet…

A: Answer - The shop owner has 12 yellow roses and 13 red roses left after a busy day, Total =…

Q: A supplier of heavy construction equipment has found the probability of a sale of a particular piece…

A: Given : p = 0.3 r = 3

Q: Mendelev Company is a small producer of several coffee products. One of the products is Kapeng…

A: Given information: It was stated that Mendelev Company is a small producer of several coffee…

Q: An actress has a probability of getting offered a job after a try-out of 0.02. She plans to keep…

Q: The probability that a student owns a car is 0.7. The probability that a student owns a computer is…

A: Given: Probability of student owns a car, P(A)=0.7 Probability of student owns a computer, P(B)=0.67…

Q: At the end of regulation time, a basketball team is trailing by one point and a player goes to the…

A: The team is trailing by one point. a.)P[The basketball team wins at the end of regulation…

Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yd and each of…

A: Probability is the chance of occurence of particular event will happen. Probability always lies…

Q: Kimberly is currently taking swimming lessons. She is also taking driver training. The probability…

A: Since both events are independent to each other probability of occuring one does not affect another…

Q: Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute,…

A: The answer can be given by finding the z value.

Question

Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values.

What is the probability of getting ALL THREE green lights on a trip to school?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

I hit two traffic lights on my way to work each morning. Both lights operate independently. The probability both lights will be red is 0.22. The probability the first light is red and the second light is NOT red is 0.33. What is the probability the second light will be red when I reach it?
Please help with the probability of a child having a blue eye color. I'm not sure if I have it right
A person died prematurely, find the probability with which he could have been a heavy smoker given the following data: Off all people: 50% of people don't smoke, 20% are light smokers & 30% are heavy smokers. Heavy smokers are twice as likely to die prematurely as light smokers, light (6 marks) smokers are twice as likely to die prematurely as nonsmokers.
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?
A hockey player is to take 3 shots on a certain goalie. The probability he will score a goal on his first shot is 0.3. If he scores on his first shot, the chance he will score on his second shot increases by 0.1; if he misses, the chance that he scores on his second shot decreases by 0.1. This pattern continues to on his third shot: If the player scores on his second shot, the probability he will score on his third shot increases by another 0.1; should he not score on his second shot, the probability of scoring on the third shot decreases by another 0.1. A random variable X counts the number of goals this hockey player scores. (a) Complete the probability distribution of X below. Use four decimals in each of your entries. X P(X = x) (b) How many goals would you expect this hockey player to score? Enter your answer to four decimals. E(X)= 1 2 3 (c) Compute the standard deviation the random variable X. Enter your answer to two decimals. SD(X) =
Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at least twice a week. What is the probability that a student chosen at random from the class uses the library at least twice a week? What is the probability that a student chosen at random from the class uses the library less often than twice a week? If two students are chosen at random from the class, what is the probability that both of them use the library at least twice a week? If two students are chosen at random from the class, what is the probability that both of them do NOT use the library at least twice a week?
A hacker breaking into a computer system has a 15% chance of breaking into a system in 2 minutes, a 25% chance after 5 minutes, and a 60% chance after 20 minutes. What is the expected time will take the hacker to get in?
In basketball, you can earn 3 points for a shot and 1 point for a free throw. If Sam's probability of getting a 3-point shot is 4/10 and 8/10 for a free throw, what is his expected value for the game?
A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?
The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a college in that state, then find the most likely value for the number of people who failed the test at that college.
The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on Christmas is 0.90. Assuming that these two events are independent, what is the probability of snowstorms on both Thanksgiving and Christmas?