Question

In: Statistics and Probability

Suppose the probability that the probability of rain today in Vernon is 0.4 and the probability...

Suppose the probability that the probability of rain today in Vernon is 0.4 and the probability of rain today in Kelowna is 0.3. The probability that it will rain in both cities today is 0.2. A) What is the probability that it will rain in Kelowna or Vernon today? B) What is the probability that it will rain Kelowna today but not in Vernon? C) Suppose that it has started to rain in Kelowna today. What is the conditional probability that it will also start to rain in Vernon today? D) Is the event that it will rain today in Kelowna independent of the event that it will rain today in Vernon?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Problem 3 Assume that the probability of rain tomorrow is 0.5 if it is raining today,...
Problem 3 Assume that the probability of rain tomorrow is 0.5 if it is raining today, and assume that the probability of its being clear (no rain) tomorrow is 0.9 if it is clear today. Also assume that these probabilities do not change if information is also provided about the weather before today. a) Find the n-step transition matrix for n = 3, 7, 10, 20. b) The probability of rain today is 0.5 Use the results in the part...
Suppose that the probability that a certain experiment will be successful is 0.4, and let X...
Suppose that the probability that a certain experiment will be successful is 0.4, and let X denote the denote the number of successes that are obtained in 15 independent performances of the experiment. What is the probability of getting at least 12 successes experiments? What is the expected value and variance for the described distribution?
With probability 0.6, the present was hidden by mom; with probability 0.4, it was hidden by...
With probability 0.6, the present was hidden by mom; with probability 0.4, it was hidden by dad. When mom hides the present, she hides it upstairs 70 percent of the time and downstairs 30 percent of the time. Dad is equally likely to hide it upstairs or downstairs. Given that it is downstairs, what is the probability it was hidden by dad?
The probability that no cars will pass by a section in an hour is 0.4 (modelled...
The probability that no cars will pass by a section in an hour is 0.4 (modelled as a Poisson process. Further, no car passed by in the last 2 hours. What is the probability that you have to wait at least 1 more hour (after the 2 hours) for the next car? =1-0.4 <0.4 >0.4 =0.4
Find the stationary distribution of this chain Suppose that the probability it rains today is 0.3...
Find the stationary distribution of this chain Suppose that the probability it rains today is 0.3 if neither of the last two days was rainy, but 0.6 if at least one of the last two days was rainy. Let the weather on day n, Wn, be R for rain, or S for sun. Wn is not a Markov chain, but the weather for the last two days Xn = (Wn−1 , Wn ) is a Markov chain with four states...
Is acid rain a problem for plant species and crops today? How are plants impacted by...
Is acid rain a problem for plant species and crops today? How are plants impacted by acid rain? Do a web-search and include the name of at least one specific crop in your answer. Your answer should be at least 10 sentences long. As always, include references to information sources used.
For the binomial distribution with n = 10 and p = 0.4, where p is probability...
For the binomial distribution with n = 10 and p = 0.4, where p is probability of success. Let X be the number of successes. (a) Find the probability of three or more successes. (b) Find the µ, E(X), and σ 2 , V ar(X)
Probability of producing defective items in a workshop is 0.4. If 20 products are picked at...
Probability of producing defective items in a workshop is 0.4. If 20 products are picked at random, what is the probability that: a) 2 will be defective b)at least 3 will be defective c) at most 4 will be defective
Probability Expected Return 0.3 -10% 0.4 5% 0.3 15% If IBM has the probability distribution shown...
Probability Expected Return 0.3 -10% 0.4 5% 0.3 15% If IBM has the probability distribution shown in the table above, what is IBM’s standard deviation?
Probability Expected Return 0.3 -10% 0.4 5% 0.3 15% If IBM has the probability distribution shown...
Probability Expected Return 0.3 -10% 0.4 5% 0.3 15% If IBM has the probability distribution shown in the table above, what is IBM’s standard deviation? Instruction: Type your answer in the unit of percentage point, and round to three decimal places. E.g., if your answer is 0.0106465 or 1.06465%, should type ONLY the number 1.065, neither 0.0106465, 0.0106, nor 1.065%, because I already have percentage sign at the end of the problem. Otherwise, Blackboard will treat it as a wrong...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT