On average, based on past records, a Forklift will have a failure rate once every 7000 hours of drive time.Mechanical failure of Forklifts constitutes a Poisson process.(a) If a Forklift is scheduled for inspection and maintenance after every 2500 drive hours, what is theprobability of mechanical failure of a Forklift between inspections?(b) In a fleet of 20 Forklifts of the same type, what is the probability that not more than two (S 2) will havemechanical failure within the above scheduled inspection/maintenance interval? Assume that failurebetween Forklifts is statistically independent.

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Answered: On average, based on past records, a…

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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According to U.A government statistics, mononucleosis (mono) is four times more common among college students than the rest of the population. Blood tests for the diseas are not 100% accurate. Assume that the following table of data was obtained regarding students who came to a certain school's health center complaning of tirdness, a sore throat, and slight fever. If student is selected from this group, find the probability that the test is negative, given the student has mono?
Question 3 a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) (ii) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. Stating its parameter(s), what is the probability distribution of this variable? Compute the probability that 5 calls will arrive per minute. (iii) Compute the probability that 3 or more calls will arrive in a 3-minute interval?[
Answer with Solution.
A new surgery is successfully 85% of the time . If the results of 7 such surgeries are randomly sampled, what is the probability that at least 5 of them are successful. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.07 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.86. If we presume that these two events are independent, what is the probability of both happening next year?
Can you please check my work
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
Suppose a dresser drawer has blue shirts, yellow shirts, red shirts, and green shirts so that if a shirt is pulled from the drawer at random, each color has an equal chance of being drawn. P(Green) = P(Blue) = P(Red) = P(Yellow) = ¼. Complete parts (a) – (d) to create a probability distribution for the number of yellow shirts if two shirts are pulled from the drawer at random (replacing the shirt after each draw). a. List each possible outcome for the colors of the shirts if two shirts are drawn randomly from the drawer. The teacher said there should be total of 16 outcomes, not 9 or 10. In my original answer, I have 10 outcomes when there should be 16. c.Find the probability of each event (not the probability from each outcome) from part (b). For my first answer, I had the probability of each outcome, and I should have the probability of each event.
Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?
In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty seconds. What is the probability that more than five errors will occur during the next minute?

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