Example 3.10 Sam will read either one chapter of his probability book or onechapter of his history book. If the number of misprints in a chapter of his prob-ability book is Poisson distributed with mean 2 and if the number of misprintsin his history chapter is Poisson distributed with mean 5, then assuming Sam isequally likely to choose either book, what is the expected number of misprintsthat Sam will come across?

A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Answered: Example 3.10 Sam will read either one…

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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For service calls to Dell's hotline, there is a 50% chance the problem is related to operator error, a 30% chance that the problem is software related, and a 20% chance the problem involves the hardware. If 20 calls are randomly monitored, what is the probability that exactly 8 involve software? а. b. If 20 calls are randomly monitored, what is the probability that 8 involve operator error, 8 involve software, and 4 involve hardware? If service calls to the hotline are randomly selected for follow-up by a supervisor, what is the probability that the fifth call selected is the first to involve hardware? с.
1.Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?
Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to high risk." In a recent report, the brokerage house summarized its findings about 18 aerospace companies and 55 food retailers in the following table: Company Type Aerospace company Food retailer Low Risk 10 25 Probability If we randomly select one of the total of 73 companies W (a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your answer to 4 decimal places.) Moderate to High Risk 8 30 0.4444
According to the study The American Freshman: National Norms 2015. 76.1% of college freshmen said that "to get training for a specific career" was their reason for their going to college. Consider a group of seven freshmen selected at random. Find the probabilities that the number of people in the group who felt that the reason was very important as stated. (A) all seven (b) at least six or seven
5. Five hundred tickets will be sold and these will be raffled during the town fiesta. One of these tickets will win ₱3000 and the rest will win nothing. What will be the expected outcome and variance of your gain if you will buy one of the tickets?6. Astrid tosses an unbiased coin. On each toss, she wins ₱50 if a head appears, and loses ₱40 if a tail appears. What will be the expected value and variance of her gain?
2. Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (These values ignore a small number of earths among other races. ) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. (a) draw a completely labeled probability tree for this problem. (b) calculate the overall percent of people who died of diabetes across all the three races. (c) given a randomly selected dead person died of diabetes, what is the probability that he/she was white?
2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)
3. Twenty five percent of a town's voters favor letting a major discount store move into their neighbourhood, 60% are against it and 15% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?

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