A manager accepts the work submitted by histypist only when there is no mistake in thework. The typist has to type on an average 20letters per day of about 200 words each. Findthe chance of her making a mistake:(i) if less than 1% of the letters submitted byher are rejected,(ii) if on 90% days all the letters submitted byher are accepted. [As the probability ofmaking a mistake is small, you may usePoisson Distribution. Take e = 2-72.]?%3D

Given that A manager accepts the work submitted by his typist only when there is no mistake in the…

Answered: A manager accepts the work submitted by…

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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Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?
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Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each alternative is given in the following table (if you decided to replace the wrong part first, you have to replace both of them). The Wheel is broken p = 0.3 The Axle is broken p = 0.7 Replace Wheel First Replace Axle First 600 1500 1500 900 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?
The university administrator wants a quick estimate of the average course size, i.e. how many students are enrolled in one course on average. However, since he does not want the faculty to find out about his interest, he has decided to use the students as his help. He has decided to randomly select 100 students to find out and report to him the number or numbers of students in his course or courses. Thus, his estimate of the average course size is the average of the numbers reported by the students.(a) Does such a procedure serve his purpose?(b) If you answered yes to the previous question, explain why. If you answered no to the previous question, present a more efficient way.
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
A box contains many tickets, with an average value of 50 and an SD of 10. If we draw 150 times with replacement from the box and keep track of the sum of draws, what is the approximate chance that the sum of draws is smaller than 7400? Choose the answer that is closest. Group of answer choices 30% 20% 10% 40%
Solve the following probabilty problem: Doris and her friend plan to travel to Florida during the winter intersession period. Based upon the past experience they know that the probability that they go by car is 0.4 and the probability that they go by plane is 0.2. What is the probability that they travel to Florida by car or plane only?
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A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked whichcandidate he or she plans to vote for. Of the people in the sample, 55 percent say they will vote for candidateTaylor. A margin of error of 3 percentage points is calculated. Which of the following statements is appropriate?(A)The proportion of all likely voters who plan to vote for candidate Taylor must be the same as the proportionof voters in the sample who plan to vote for candidate Taylor (55 percent), because the data were collectedfrom a random sample.(B) The sample proportion minus the margin of error is greater than 0.50, which provides evidence that morethan half of all likely voters plan to vote for candidate Taylor.(C)It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote forcandidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likelyvoters in a large city.(D) It is…
Q. 2 The probability that a smoker who consumes over 20 cigarettes a day will suffer from chronic respiratory illness is 4 The 10 probability that he will suffer from heart disease is The 10 probability that he will suffer from at least one of these ailments is 6.5 10 (i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease. (iv) Are events "chronic respiratory illness" and "heart disease independent"?

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