When occurrence of one outcome does not cause the probability of occurrence ofanother subsequent outcome to change, then the outcomes collectively are:independentdependent

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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...

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at a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify for financial aid type b. if it is known that 5.1% of the students will qualify for both types of financial aid find: find the probability that a student will qualify for financial aid (at least one of either type A or type B) the probability that a student will qualify for type a and not type b
Employment data at a software company reveal that 50% of employees have a computer science degree, 44% are women and half of the women have a computer science degree. Whatis the probability that a randomly chosen employee is female or has a computer sciencedegree?
A car dealership sells two types of cars: sedans and SUVs. The dealership conducted a survey and found that out of 200 customers, 120 purchased sedans, 80 purchased SUVs, and 40 purchased both types of cars. Calculate the probability that a randomly selected customer purchased either a sedan or an SUV.
A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
You purchase a brand new car for $17,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. X P(X)
A publisher sends advertising materials for an accounting text to 80% of all professors teaching the appropriate accounting course. Thirty percent of the professors who received this material adopted the book, as did 10% of the professors who did not receive the material. What is the probability that a professor who adopts the book has received the advertising material?
The nursing department of a college surveyed two hundred graduates from their programs about their current work. The college has different levels of degrees in nursing available. The department found the following probabilities: P(bachelor's degree)= 0.45 P(working in nursing)=0.85 P(in nursing in bachelor's)=0.4 Find the probability that a graduate is currently working in nursing, given that they earned a bachelor's degree.
The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.65, the probability that a car brought into the shop requires brake repair is 0.35, and the probability that a car requires both an oil change and brake repair is 0.24. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is (Type an integer or a decimal.)
The weather in a particular town in the Pacific northwest is classified as either good, indifferent or bad. If the weather is good on a particular day, the probability it will remain good the next day is only 11%, and there is a 45% chance it will be indifferent. If the weather is indifferent on a particular day, there is a 20% chance it will become good, and a 42% chance it will become bad. If the weather is bad on a particular day, there is a 48% chance it will be bad the next day, and a 21% chance it will become indifferent. Construct the stochastic matrix that models this problem.
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?
If 3 % of the electric bulbs manufactures by a company are defective, find the probability that in a sample of 100 bulbs: a. 0 bulbs will be defective b. 1 bulbs will be defective c. 2 bulbs will be defective d. 3 bulbs will be defective e. 5 bulbs will be defective

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When occurrence of one outcome does not cause the probability of occurrence of another subsequent outcome to change, then the outcomes collectively are: independent dependent