Example 2.3.8 Six dissimilar (distinguishable) balls are distributed at ran- dom into 3 boxes. Find the probability that these boxes contain 3, 2 and 1 balls respectively.
Q: Find the probability of at least 2 female visitors in 17 visitors to Mt. Rainier National Park.…
A: The provided information are: Probability of success (p) = 0.5 Number of trials (n) = 17
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A: given data λ = 6 per hourx = no. of patients in t houtP(x=X) = e-λt(λt)xx!
Q: Find the probabilities of getting Three 3s and then a 4 or a 5 in 4 rolls of a balanced die
A: a) since probability of a head on a fair coin is 1/2 therefore due to independence of trials P(eight…
Q: Find the probability of at least 2 female visitors in 19 visitors to Mt. Rainier National Park.…
A: Given that male and female visitors are equally likely. That is, P(male)=P(female)=1/2=0.5 Let us…
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A: The Poisson probability distribution is, In the distribution, is the average value. The average of…
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A: Given, Brown eyes people = 6 Blue eyes people = 4 Total = 10 The objective is to find the…
Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…
A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…
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Q: Suppose that in a hospitał, 80% of COVID-19 patients were experiencing a cough, 60% were…
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A: There are total 100 carrots. 5 carrots are rotten. So (100-5)=95 carrots are good. The farmer can…
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A: Solution: From the given information, probability of a balloon at a party pops when kids play is…
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A: Introduction to Geometric distribution: Suppose there are independent trials and the probability of…
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A: Probability
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Q: A box containing 8 yellow and 5 red marbles. If two marbles are to be drawn at random without…
A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…
Q: One of the 3 shooters is randomly chosen to hit the target once. For each shooter the probabilities…
A: E1: First shooter P(E1) = 1/3 E2: Second Shooter P(E2) = 1/3 E3: Third Shooter P(E3) =…
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Q: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…
A: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…
Q: At the cartons produced by a company 3% have a puncture 6% have a smashed corner and 0.4% have both…
A: Given that , cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.4 %…
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Q: Industrial robots are programmed to operate through microprocessors. The probability that one such…
A: The objective of the question is to find the probability that the robot will operate for at most 5…
Q: Suppose each time you take a free-throw, there’s 20% chance that it will go in. You must make 5…
A: As given: There is a 20% chance that a throw will go in. Hence, P( throw) = p = 20% or 0.2 The…
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Q: An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls.…
A: An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red…
Q: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he…
A: Given that, Average 10 calls (μ=10)Here, we can use Poisson distribution
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A: Here use given information and draw venn diagram
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A: Step 1:First, we define the events:D: The person died prematurelyH: The person is a heavy smokerL:…
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Q: A sample of 4 different calculators is randomly selected from a group containing19 that are…
A: Obtain the probability that at least one of the calculators is defective. The probability that at…
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- In a large population, 67 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?Give your answer as a decimal to at 4 placesSuppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball game tomorrow is 0.9. Assuming these events are independent, what is the probability that it snows and IU loses?An urn contains 8 white balls and 2 red balls. A second urn contains 3 white balls and 8 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.65. If the ball is white, find the probability that the second urn was selected. (Enter answer as a decimal with at least 4 correct decimal places)
- Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?What is the probability z will be less than -1.88 OR greater than 1.31?A student in this class is writing two midterms in math this week. The probability that she will pass MAT 2371 is 0.7, and the probability that she will pass MAT 2125 is 0.7. If the result on the two exams are independent, what is the probability that she will fail at least one the two exams? 0.56 0.44 0.54 0.46 0.51
- What are the class boundaries for the class limit, 2.20 - 3.80 ? 2.15 - 3.75 2.195 - 3.805 2.395 - 3.805 1.7 - 4.2Assume that n 16, and p = 9/10. Find the probability of at least 2 successes and at least 3 failures.Four out of five Filipinos under the age of 30 eat rice for breakfast. If a random sample of 15 adults under age of 30 is selected, find the probability that at least 10 have eaten rice for breakfast.
- For the same bag of candy with 6 colors in equal amounts, what is the probability of drawing a yellow candy and a blue candy when drawing two subsequent pieces from the bag (assume the first candy is put back in the bag and mixed before the second draw)A university computer laboratory installs one of three operating systems on each computer used in the lab. It is known from product testing that during an hour of web browsing the probability a computer with system 1 installed will crash is 0.15, the probability of a computer with operating system 2 crashing is 0.08 and the probability of a computer with system 3 crashing is 0.1. Operating systems 1 and 3 are installed on the same number of computers while system 2 is installed on twice as many computers as system 1 (or system 3).a) What is the probability that a randomly selected computer crashes during an hour of web browsing?b) If a computer selected at random crashed during an hour of browsing the web, what is the probability it has operating system 2 installed?c) If a computer selected at random does not crash during an hour of web browsing what is the probability it has operating system 1 or operating system 2 installed?