Answered: 10% of tools produced by a certain…

10% of tools produced by a certain manufacturing process turn out to be defective. Assuming binomial distribution, the probability of getting 2 defective tools out of a total of 10 is….

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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The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. a. What is the probability that a tire will last at most 40,000 miles? b. What is the probability that a tire will last at least 65,000 miles? c. What is the probability that a tire will last between 70,000 and 80,000 miles?
Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =
Suppose the number of cell phones in a household has a binomial distribution with parameters n = 15 and p = 85%. Find the probability of a household having: (a) 5 or 12 cell phones
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
2. Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X is less than 9.66 is 0.67, then what is the standard deviation of X?
Answer D
Children being exposed to unsafe levels of lead exposure is thought to be to an environmental factor increasing the chance of a child being diagnosed with ADHD. During the 1990s about 0.3% of children were exposed to unsafe levels of lead (usually from lead pipes). 3. If we let X = the number of children in our study with exposure to unsafe levels of lead we can use the binomial distribution to model the probability distribution of X. Explain why using the definition of Binomial from your notes. (Recall we randomly selected the 425 children and the probability a child is exposed is 0.3%. 4. The researchers found that 5 children in the study had unsafe levels of lead in their blood, Find the probability that in a random sample of 425 children we find at least 5 that have exposure to unsafe levels of lead. 5. Is it unusual to find at least 5 that have exposure to unsafe levels of lead? Explain showing work.
Answer A-C
About 69% of people who are murdered knew the person who committed the murder. Suppose that Detective Williams's case load currently has 49 unsolved murders. Use a nomal distribution approximation to the binomial distribution to find the following probabilities: a. What is the probability that at least 30 of the victims among Detective Williams's case files knew their murderer? b. What is the probability that between 30 and 39 of the victims knew their murderer?
Suppose that skiing injuries occur at a constant rate, are statistically independent of each other, and the amount of time required to treat each injury follows an approximately normal distribution with a mean of 80 minutes and a standard deviation of 20 minutes. Assume the average ski injury rate is 2.6 injuries per 1,000 skier-days, and the treatment time is independent of the number of injuries treated on any day. a. In a week with 150 skiers each day, what is the probability there is at least 1 injury on each day? b. In a week with 150 skiers each day, what is the probability there is at least 1 injury on at least 5 of the 7 days? c. On a day with 7 injuries, what is the probability that at least 5 of the 7 injuries require more than 100 minutes to treat the injury? d. In a week with 7 injuries, what is the probability that at least 5 of the 7 injuries require more than 100 minutes to treat the injury?
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?