Question

Along the road near Bundamba State High School, there are traffic lights at two different locations....

Along the road near Bundamba State High School, there are traffic lights at two different locations. At the first location, the light is green 80.9% of the time. At the second location, the light is green 79.9% of the time. The probability a vehicle gets a green light at the first location and the second location is 71.4%. What is the probability that the light will be green at the second location if the light was green at first location? (3 decimal places)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

P(G 1st) = 0.809

P(G 2nd) = 0.799

P(G 1st G 2nd)=0.714

P(G 2nd | G 1st) =? (We need to find Prob of green light at 2nd location given that light was green at first location

As per bay's theorm

P(A|B) = P(AB)/P(B)

Here

P(G 2nd | G 1st) = P(G 2nd G 1st) / P(G 1st)

=0.714/0.809

=0.8825711

=0.883 (3 decimal places)

Hence we can say that 0.883 is the probability that the light will be green at the second location if the light was green at first location

Hope the above answer has helped you in understanding the problem. Please upvote the ans if it has really helped you. Good Luck!!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.The number showing on the upper face of a fair six-sided dice is observed when rolled....
1.The number showing on the upper face of a fair six-sided dice is observed when rolled. Consider events A and B defined as: A = the number observed is at most 2 B = the number observed is an even number Find： 1.P(A') 2.P(A or B) 2.Along the road near Bundamba State High School, there are traffic lights at two different locations. At the first location, the light is green 80.9% of the time. At the second location, the light...
Using Law of Total Probability a) Two consecutive traffic lights have been synchronized to make a...
Using Law of Total Probability a) Two consecutive traffic lights have been synchronized to make a run of green lights more likely. In particular, if a driver finds the first light to be red, the second light will be green with probability 0.9, and if the first light is green the second will be green with probability 0.7. If the probability of finding the first light green is 0.6, find the probability that a driver will find the second traffic...
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?...
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
A number of minor automobile accidents occur at various high-risk intersections despite traffic lights. The traffic...
A number of minor automobile accidents occur at various high-risk intersections despite traffic lights. The traffic department claims that a modification in the type of light will reduce these accidents. The traffic commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were as follows: Number of Accidents A B C D E F G...
A number of minor automobile accidents occur at various high-risk intersections despite traffic lights. The traffic...
A number of minor automobile accidents occur at various high-risk intersections despite traffic lights. The traffic department claims that a modification in the type of light will reduce these accidents. The traffic commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were as follows: Number of Accidents A B C D E F G...
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...
A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying...
A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data​ table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2083 riders not wearing a helmet. Using the data below, complete parts ​(a) and ​(b). Location of Injury Probability Frequency Multiple Locations 0.57 1044 Head 0.31 877 Neck 0.03 32 Thorax 0.06 81 Abdomen/Lumbar/Spine 0.03 49...
A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying...
A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data​ table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2051 riders not wearing a helmet. Using the data below, complete parts ​(a) and ​(b). Location of Injury Probability Frequency Multiple Locations 0.57 1025 Head 0.31 864 Neck 0.03 37 Thorax 0.06 80 Abdomen/Lumbar/Spine 0.03 45...
An exceptionally bright high school student has applied for two scholarships--a merit scholarship and an athletic...
An exceptionally bright high school student has applied for two scholarships--a merit scholarship and an athletic scholarship. He estimates the following probabilities: - the probability of getting the merit scholarship is 0.33 - the probability of getting the athletic scholarship is 0.75 - the probability of getting both scholarships is 0.10 Please round each answer to two decimal places. (a) What is the probability that he gets at least one of these scholarships? [oneplus] (b) What is the probability that...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT