ASSESSMENTSolve the following problems.1. A particular production process is claimed to be 90% effective, that is thematerial produced can be shaped as desired in a later processing stage with aprobability of 0.9. What is the probability that exactly 15 boxes will beproduced in order to obtain the third defective box?2. Thirteen cards are drawn from a deck of ordinary playing cards. Find theprobability of selecting 8 red cards and 5 black cards.3. The average number of traffic accidents on a certain section of highway is twoper week. Assume that the number of accidents follows a Poisson distributionwith u= 2.a) Find the probability of no accidents on this section of highway during a 1-weekperiod.b) Find the probability of at most three accidents on this section of highwayduring a 2-week period4. An average life span of a light bulb manufactured by the DMR Corporationlasts 300 days with a standard deviation of 50 days. Assuming that bulb life isnormally distributed, what is the probability that the light bulb selected willlast at most 365 days?

As PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR OTHER QUESTIONS

Answered: 1. A particular production process is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the rats on the campus of Hypothetical U are found to be carriers of bubonic plague. Eradicating the rats has an estimated cost of $1,000,000 and is expected to reduce the probability a given student dies of the plague from 1/3,000 to zero. Suppose that there are 30,000 students on campus. Suppose further that the administration refuses to eradicate the rats due to the cost. From this information, we can estimate that the administration's willingness to pay to save a student statistical life is no more than $100,000 $1,000,000 $50,000 $33,333
TASK: suppose that we are investigating the safety of a dangerous intersection past police records indicate a mean of five accidents per month at this intersection. The number of accidents is distributed according to a Poisson distribution, and the Highway Road Safety Division wants us to calculate the probability in any month of exactly 0, 1, 2, 3, or 4 accidents. Hint: A 5
A state government hired a contractor for a road-construction project. The contractor's type, its cost efficienciency, is unknown to the government. There is 2/3 probability of the its construction cost being 3 (billion dollars per lane) and 1/3 probability of the cost being 5. More lanes yield more social benefit in the form of faster travel and fewer accidents. The social value V (measured in billions of dollars) from having N lanes on the highway is: V-15N-N?/2. The government is interested in choose N and writing a contract to maximize the benefit to the state (V) net of the fee paid to the contractor (call it F); G-V-F. Your goal as a government official is to design a pair of contracts to separate the types of contractor. You want the contractor to choose "Contract L: Build N lanes and get paid RL dollars" if its cost type is low cost of $3 (billion dollars per lane) and to choose "Contract H: Build NH lanes and get paid RH dollars" if its cost type is high cost $5 (billion…
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....)
Johnny carries out an experiment to study the lifespan of cockroach without water and food. At the end of day 0, he puts six cockroaches in different boxes respectively. On each day following, each cockroach has an equal chance to d ie with a probability of 0.5. What is the expected number of days until all six cockroaches die?
3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?
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1. A particular production process is claimed to be 90% effective, that is the material produced can be shaped as desired in a later processing stage with a probability of 0.9. What is the probability that exactly 15 boxes will be produced in order to obtain the third defective box?