Consider the well failure data is given below. Let A denote the event that the geological formation has more than 1000 wells, and let B denote the event that a well failed. Wells Geological Formation Group Failed Total Gneiss 170 1685 Granite 2 28 Loch raven schist 443 3733 Mafic 14 363 Marble 29 309 Prettyboy schist 60 1403 Other schists 46 933 Serpentine 3 39 Determine the following probabilities. (a) P (B) (b) P (A′) (c) P (A ∪ B) (d) P (A ∪ B′) (e) P (A′ ∩ B)

Consider the well failure data is given below. Let A denote the event that the geological formation has more than 1000 wells, and let B denote the event that a well failed. Wells Geological Formation Group Failed Total Gneiss 170 1685 Granite 2 28 Loch raven schist 443 3733 Mafic 14 363 Marble 29 309 Prettyboy schist 60 1403 Other schists 46 933 Serpentine 3 39 Determine the following probabilities. (a) P (B) (b) P (A′) (c) P (A ∪ B) (d) P (A ∪ B′) (e) P (A′ ∩ B)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Refer to the hospital emergency department data. Hospital 1 2 3 4 Total Total 5292 6991 5640 4329 22,252 LWBS 195 270 246 242 953 Admitted 1277 1558 666 984 4485 Not admitted 3820 5163 4728 3103 16,814 Let A denote the event that a visit is to hospital 1, and let B denote the event that a visit results in admittance to any hospital. Determine the number of persons in each of the following events. AnB and A U B'. (Show complete solutions in your answer sheet) O a. None among the choices O b. 13752, 19044 Oc. 1277, 6915 O d. 1277, 19044
In a binomial distribution, n=8 and pie=0.36. Find the probabilities of the following events. a. X=5 b. X<=5 c. X>=6
Please help me fix A and B problem. Thank you!
6. For an insurance coverage, claim counts follow a binomial distribution with m = 4. q varies by insured with the following probabilities: 0.1 0.2 0.3 Probability 0.5 0.25 0.25 An insured submits 0 claims in the first year and 3 claims in the second year. Calculate the predictive probability of the same insured submitting 0 claims in the third year.
1. Suppose A and B are events in a probability experiment. Suppose P(A) = .6, P(B) = .4, and P(AN B) = .23. Find the following probabilities. (a) P(AU B) (b) P(AN Bº) (c) P(A°UB)
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3
5. A commuter must pass through 4 different 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, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15a. What is the probability she is stopped one time on her way to work?b. What is the probability she is stopped at least two times on her way to work
15. During a recent period of high unemployment, hundreds of thousands of drivers dropped their automobile insurance. Sample data representative of the national automobile insur- ance coverage for individuals 18 years of age and older are shown here. b. C. Age 18 to 34 35 and over 60 Automobile Insurance Yes 1500 1900 a. Develop a joint probability table for these data and use the table to answer the remaining questions. No 340 260 What do the marginal probabilities tell you about the age of the U.S. population? What is the probability that a randomly selected individual does not have automobile insurance coverage? d. If the individual is between the ages of 18 and 34, what is the probability that the individual does not have automobile insurance coverage? e. If the individual is age 35 or over, what is the probability that the individual does not have automobile insurance coverage? f. If the individual does not have automobile insurance, what is the probability that the individual is…
A system consists of four components connected as shown below in the following diagram.Assume ?, ?, ?, and ? function independently. If the probability that ?,?, ?, and ? fail are 0.10, 0.05, 0.10, and 0.20 respectively. What is the probability that the system functions?b) A process manufactures ball bearing whose diameters are normally distributed with mean 2.505?? and standard deviation 0.008??. Specifications call for the diameter to be in the interval 2.5 ± 0.01 cm. what proportion of the ball bearings will meet the specification
Question 2 Arun has surveyed 25 classmates about the number of pets in their household and received the following frequency table: Number 0 1 2 3 4 5 6 Frequency 3 4 4 4 4 4 = P(A and B) = 2 Let A be the event in which for a randomly selected classmate the number of pets in their household is 2 and let B be the event in which for a randomly selected classmate the number of pets in their household is 3. Find the following probabilities: P(A or B) = % (Round the answer to 2 decimal places.) % (Round the answer to 2 decimal places.)