A defence system is 99.5% efficient in intercepting ballistic missiles. (a) What is the probabilitythat it will intercept all of 100 missiles launched against it? (b) How many missiles must anaggressor launch to have a better than evens (i.e. >50%) chance of one or more penetratingthe defences? (c) How many missiles would be needed to ensure a better than evens chance ofmore than two missiles evading the defences? (Hint: Do you think the number would be largeenough that you could consider an approximation?)

Answer for a and b ) : Step 1:Explanation:The possibility of intercepting all 100100 missiles is…

Answered: A defence system is 99.5% efficient in…

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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Based on geological studies done in Alaska, a petroleum company believes the probability of finding high quality oil is 25%, medium quality oil is 41%, and no oil is 34%. Since drilling can be expensive, the petroleum company also plans on doing a soil test (since certain oil types are more apt to detect the presence and quality of oil). For example, the petroleum company knows that in 24% of high quality oil finds, 16% of medium quality oil finds, and 14% of no oil finds, the soil is Type A. So for Alaska... Find the probability that high quality oil is found given the soil was not Type A.
15%0f cellphone users use their cell phones to access internet. In arandom sample of 10 cellphone users, what is probability that exactly 2 have used their phones to access internet?
Q7 (a) 2% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, 53% also purchase popcorn. (i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? (ii) If the proportion of customer who buys popcorn 68% . Then find the probability that a customer will buy a popcorn or a soft drink?
For a particular species of wolf, 48% are female, 30% hunt in medium-sized packs, and 10% are both female and hunt in medium-sized packs What is the probability of selecting a wolf that is female, given that it hunts in a mediumsized pack?
Some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 43.00% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 3.000% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?
(a) Student A would like to visit a country where 92% of the population speaks the native language. However, Student A does not speak and understand that language. What is the probability that at least two of three locals at the immigrant department of the airport will succeed to communicate with Student A? Answer = Answer (b) Research Scientist A investigates the infected laboratory rats in modeling human diseases. Research Scientist A finds out the probability of the laboratory rats getting infected is two out of ten. What is the probability that five laboratory rats must be required before Research Scientist A finds at least three laboratory rats but not all have been infected? Answer = Answer (c) A badminton game consists of at least two matches, and each match consists of 21 points. The probability of Player A and Player B earning a point in their matches are 80% and 90%. What is the probability difference between Player A and Player B to get their second points within…
rudolph's electronics makes sets of christmas lights. on average, 4% of the bulbs produced by theircupplier will be defective. rudolph samples 300 bulbs from each shipment. if more than 3% of the bulbs aredefective, he refuses the shipment. what is the probability that a given shipment will be accepted?
The manufacturing of semiconductor chips produces 2% defective chips. Assume that the chips are independent and that a lot contains 1000 chips. Approximate the following probabilities: (a) More than 25 chips are defective. (b) Between 20 and 30 chips are defective.
A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces Q23 Given that the selected piece is non-defective, what is the probability that the machine is set up correctly? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer:
A factory produces machine components which pass through an automatictesting machine. 5% of the components entering the testing machine aredefective. However, the machine is not entirely reliable. If a component isdefective, there is a 4% chance that it will not be rejected. If a component isnot defective, there is a 7% chance that it will be rejected. (2)(i) What percent of all the components are rejected?(ii) What percent of the rejected components are actually not defective?
2. Wallace figures his chances of getting a new car for graduation at 70% if he graduates as class valedictorian. He only has about a 25% chance of getting a new car if he graduates 2nd or lower. He estimates his chances of being valedictorian at 50/50. What is the likelihood that Wallace will get a new car?

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