Question

QUESTION 8 The probability that tomorrow will be a rainy day is 0.44. The probability tomorrow...

QUESTION 8

The probability that tomorrow will be a rainy day is 0.44. The probability tomorrow will be a windy day is 0.23. The probability that it will rain and be windy tomorrow is 0.08. What is the probability it will be windy or rainy or both tomorrow? (2 decimal places)

Homework Answers

Answer #1

Let R denote the event that tomorrow will be a rainy day and W denote the probability that tomorrow will be a windy day.

Now, we are given the following probabilities:

Now, the probability that it will be windy or rainy or both tomorrow is given by:

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.

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 5. Suppose that the number of accidents in a city on a rainy day is...
Question 5. Suppose that the number of accidents in a city on a rainy day is a Poisson random variable with mean 8, on a cloudy day is a Poisson random variable with mean 5 and on a sunny day is a Poisson random variable with mean 2. If the probability that it will be rainy tomorrow is 0.4, the probability that it will be cloudy tomorrow is 0.3 and the probability that it will be sunny tomorrow is 0.3;...
It is known that in rainy seasons, if yesterday and today it rained the probability that...
It is known that in rainy seasons, if yesterday and today it rained the probability that it will rain tomorrow is 0.8, if yesterday it did not rain and today the probability that it will rain tomorrow is 0.5, if yesterday it rained but not today, the probability of that it will rain tomorrow is 0.3, and if it did not rain yesterday and today the probability that it will rain tomorrow is 0.1. (a) Construct the digraph and the...
Data indicates that the number of traffic accidents on a rainy day is Poisson with mean...
Data indicates that the number of traffic accidents on a rainy day is Poisson with mean 19, while on a dry day, it is Poisson with mean 13. Let X denote the number of traffic accidents tomorrow. Suppose that the chance it rains tomorrow is 0.6. Find(a)P(rain tomorrow|X= 15) using Bayes rule. (b)E(X).
On rainy days, Tim is late to school with probability 0.4; on snowy days, he is...
On rainy days, Tim is late to school with probability 0.4; on snowy days, he is late with probability 0.7; otherwise, he is late with probability 0.2. Suppose that tomorrow will rain with probability 0.5, and will snow with probability 0.2. (a) Find the probability that Tim is late tomorrow. (b) Given that Tim was early, what is the conditional probability that it rained.
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...
If the probability that it is a rainy day is 0.3, find the mean number of...
If the probability that it is a rainy day is 0.3, find the mean number of rainy days in a week, as well as the standard deviation.
A k out of n system is one in which there is a group of n...
A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. For a certain 4 out of 6 system, assume that on a rainy day each component has probability 0.4 of functioning, and that on a nonrainy day each component has probability 0.8 of functioning. a) What is the probability that the system functions on a rainy day? b) What is...
Consider the state space {rain, no rain} to describe the weather each day. Let {Xn} be...
Consider the state space {rain, no rain} to describe the weather each day. Let {Xn} be the stochastic process with this state space describing the weather on the nth day. Suppose the weather obeys the following rules: – If it has rained for two days straight, there is a 20% chance that the next day will be rainy. – If today is rainy but yesterday was not, there is a 50% chance that tomorrow will be rainy. – If yesterday...
In my friend’s town (not Vancouver), it's rainy one third of the days. Given that it...
In my friend’s town (not Vancouver), it's rainy one third of the days. Given that it is rainy, there will be heavy traffic with probability 1/2, and given that it is not rainy, there will be heavy traffic with probability 1/4. If it's rainy and there is heavy traffic, I arrive late for work with probability 1/2. On the other hand, the probability of being late is reduced to 1/8 if it is not rainy and there is no heavy...
The probability that a student uses the academic Resource Center on a regular basis is 0.44...
The probability that a student uses the academic Resource Center on a regular basis is 0.44 in a group of 21 students. What is the probability that exactly seven of them use the academic Resource Center on a regular basis? Write only a number as your answer. Round to four decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Na2CO3 + 2HCl --------------> 2NaCl + H2O + CO2 7. Why did the reaction stop bubbling...
    asked 2 minutes ago
  • This assignment is for a Culturally Alert Counseling class. The first culture, within this assignment: Discuss...
    asked 16 minutes ago
  • Which of the following is the BEST way to align security and business strategies? A. Include...
    asked 18 minutes ago
  • Briefly explain what aging is, and why it is important in a Priority Scheduling scheduling algorithm.
    asked 36 minutes ago
  • Do you need continuous water for a boiler/heat exchanger in a distillation column? Is there any...
    asked 1 hour ago
  • Working at DuPont, you need to transfer a power-law fluid through a horizontal pipeline (ID =...
    asked 1 hour ago
  • A trucking company determined that the distance traveled per truck per year is normally distributed, with...
    asked 1 hour ago
  • From the movie Lila, Eight to Thirteen in this week's materials, Identify 2–3 developmental milestones Lila...
    asked 2 hours ago
  • Design a microcomputer system using a uP 8086 10 Mhz. This system must have a Coprocessor...
    asked 2 hours ago
  • Rational emotive behavior therapy is based on the ABC theory of personality. Can you think of...
    asked 2 hours ago
  • Walker Enterprises, Inc., uses a job-order costing system and sets a predetermined overhead rate at the...
    asked 3 hours ago
  • Predict the products, including stereochemistry where appropriate, for the m-chloroperoxybenzoic acid epoxidations of the following alkenes:...
    asked 3 hours ago