4. An insurance company classifies people into one of the three classes - good risks,average risks and bad risks. 30% of the population are labelled as "good risk", 60%as "average risk" and the remaining as "bad risk". Their records indicate that over a1-year span 10% of good risk people, 20% of average risk people, and 30% of badrisk people are involved in an accident.Determine the probability of a randomlyselected policy holder being involved in an accident.

For the two events A and B of a random experiment, the probability of occurring of event A under the…

Answered: 4. An insurance company classifies…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
At a local college, 32% of students are enrolled in a statistics course and 45% of students are enrolled in an accounting course. Also, 16% of students are enrolled in both statistics and accounting 1. What is the probability that a randomly selected student is in statistics or accounting. 2. What is the probability that a randomly selected student is in accounting, given that they are in statistics. 3. What is the probability that a randomly selected accounting student is in statistics. 4. What is the probability that a randomly selected student is not in either course.
5. Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied. a. Approximate the probability that more than 40 weigh more than 20 pounds. b. Approximate the probability that 35 or fewer weigh more than 20 pounds. c. Approximate the probability that the number who weigh more than 20 pounds is G 20
What does a rare outcome signifies?
A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? L
7. According to a college survey, 22% of all students work full time. In a survey of 14 students, what is the probability that no more than 2 of them work full time?
4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
10. A bank classifies borrowers as high risk or low risk. Only 15% of its loans are made to those in the high-risk category. Of all its loans, 5% are in default, and 40% of those in default were made to high-risk borrowers. What is the probability that a high-risk borrower will default?
1. In a factory that produces pieces of ready-made concrete, if the percentage of production of defective blocks is 0.6, if we draw a sample of 5 pieces: find the probability of getting 3 defective pieces. *
5.Approximately 64% of the people murdered actually knew their murderer. Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer?
Blue Embrold.. Pointehaven 200 G. PANDOR A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentve and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 91.9% for the medical students admitted through special programs. A sample of 11 students from the special programs are randomly selected. An event is considered unusual if it has a probability of less than 5%. Round to at least 4 decimal places! a) Compute the probability that at least 10 of them graduated. b) Compute the probability that exactly 8 of them graduated. C) Would it be unusual to randomly select 11 students from the special programs and get exactly 8 that graduate? O no, it is not unusual O yes, it is unusual d) Compute the probability that at most 8 of them graduated. e) Would it be unusual to randomly select 11 students…
There are two routes Jasmine can take to work. Route A has five stoplights. The probability distribution of how many lights at which she will need to stop is below. The average amount of time spent at each stop light on Route A is 30 seconds. Number of red lights 1 2 3 5 Probability 0.04 0.28 0.37 0.14 0.11 0.06 Route B has three stop lights. The probability distribution of Route B is below. The average wait time for these lights is 45 seconds. Number of red lights 1 3 Probability 0.09 0.31 0.40 0.20 Which route should she take?

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