Question

A student must pass through two sets of traffic lights on his way to work. The...

A student must pass through two sets of traffic lights on his way to work. The first light is red 50% of the time, yellow 5% of the time and green 45% of the time. The second light is red 20% of the time, yellow 10% of the time and green 70% of the time. Assuming that the lights operate independently, what is the probability that the student has to stop at least one time on his way to work? (He will stop only for a red light, and not if it is yellow.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Question 1: Jane must pass through five traffic lights on her way to work and will...
Question 1: Jane must pass through five traffic lights on her way to work and will have to stop at each one that is red. The probability that the number of red lights she hits when she goes to work is: Number of red lights 0 1 2 3 4 5 Probability 0.05 0.15 ??? 0.10 0.15 0.05 a. Find “???”. b. How many red lights should she expect to hit each day? c. What is the standard deviation?
A commuter must pass through five traffic lights on her way to work and will have...
A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits (xx), as shown below: xx 0 1 2 3 4 5 p(x)p(x) 0.03 0.15 pp 0.11 0.1 0.07 Find the probability that she hits at most 3 red lights. Answer to 2 decimal places. Incorrect. Tries 1/5 Previous Tries Find the probability that...
John drives and there are traffic lights on his routes. When all traffic lights on his...
John drives and there are traffic lights on his routes. When all traffic lights on his route are green, the entire trip takes 18 minutes. JohnŠs route includes 5 traffic lights, each of which is red with probability 1/3, independent of every other light. Each red traffic light that he encounters adds 1 minute to his commute. (a) Find the expectation, and variance of the length (in minutes) of John’s commute. (b) What is the pmf of the length (in...
A green wave occurs when a series of traffic lights (usually three or more) are coordinated...
A green wave occurs when a series of traffic lights (usually three or more) are coordinated to allow continuous traffic flow over several intersections in one main direction (Wikipedia). A frustrated driver thinks that the traffic lights system in his neighborhood, consisting of three traffic lights, is not working correctly. The driver's examination revealed that the probability of having no red light on his way to work is 0.4, the probability of having one red light is 0.1, and the...
The histogram shows the distribution of stops for red traffic lights a commuter must pass through...
The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the​ mean, variance, standard​ deviation, and expected value of the probability distribution. 0 1 2 3 4 5 0.00 0.10 0.20 0.30 0.40 x P(x) 0.03 0.25 0.35 0.14 0.14 0.09 x y graph The mean is nothing. ​(Round to two decimal places as​ needed.)
During our morning commute we encounter two traffic lights which are distant from one another and...
During our morning commute we encounter two traffic lights which are distant from one another and may be assumed to operate independently. There is a 40% chance that we will have to stop at the first of the lights, and there is a 30% chance that we’ll be stopped by the second light. Find the probability that we are stopped by at least one of the lights. Group of answer choices 0.10 0.65 0.70 0.58 0.12
There are two traffic lights on a commuter's route to and from work. Let X1 be...
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). x1 0 1 2 μ...
Please answer with method or formula used. A) Puenaa is getting married tomorrow, at an outdoor...
Please answer with method or formula used. A) Puenaa is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow. When it actually rains, the weatherman correctly forecasts rain 90% of the time. When it doesn't rain, he incorrectly forecasts rain 10% of the time. What is the probability that it will rain on the day of Puenaa's wedding? B) A...
Graveyard Walk TEAS VI Passage Graveyard Walk Steven walked through the graveyard every day on his...
Graveyard Walk TEAS VI Passage Graveyard Walk Steven walked through the graveyard every day on his way home from school. It was a convenient shortcut, and in broad daylight, the tombstones and dark cypress trees seemed mild and unthreatening. Things were different this evening. Steven stole through the gates as quickly as possible, fearful that he was being watched. He ran to the deep shadows of a mausoleum and caught his breath, heart pounding. He tried to listen for ominous...
Assignment 2 1. Assume that you have two biased coins and one fair coin. One of...
Assignment 2 1. Assume that you have two biased coins and one fair coin. One of the biased coins are two tailed and the second biased one comes tails 25 percent of the time. A coin is selected randomly and flipped. What is the probability that the flipped coin will come up tail? 2. One white ball, one black ball, and two yellow balls are placed in a bucket. Two balls are drawn simultaneously from the bucket. You are given...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT