c. Tests from a laboratory show that 20% of rats have a deadly disease that can betransmitted via contact with their faeces. The Ministry of Health sought to verifythis claim by testing some of the rats.(i) What is the probability that they will have to test at most 2 rats to find the first caseof the disease?(ii) What is the standard deviation of tests before the first rat with the disease is found?

Answered: Image /qna-images/answer/f00f4652-6972-4abd-b499-c207c9bb9004.jpg

Answered: c. Tests from a laboratory show that…

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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An improved battery is being developed by a start-up company, which will be sent to the smartphones manufacturer. Suppose that the charging time for the old battery is normally distributed with a mean on 45 minutes, while the charging time for the new battery is normally distributed with a mean of 30 minutes. Given the standard deviation of the old battery is 20 minutes and the new battery is 30 minutes, respectively. Twenty random samples of both batteries were tested. Find the probability of sample of the new battery is better than the old one.
In 2000, the average height of a woman aged 20-74 years was 64 inches with an increase of approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a standard deviation of two inches. • What is the probability that a randomly selected woman in this population is between 64 inches and 70 inches? • What is the probability that one woman selected at random from this population all exceed 70 inches? O a. NONE Ob.0.9973, 6.0042 x 10-9 Oc 0.0973, 0.0228 Od.0.4987, 0.0013
A factory's worker productivity is normally distributed. One worker produces an average of 73 units per day with a standard deviation of 19. Another worker produces at an average rate of 66 units per day with a standard deviation of 20. A. What is the probability that in a single day worker 1 will outproduce worker 2? Probability= B. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2? Probability =
A company produces electronic devices, and the lifespan of these devices is assumed to be normally distributed with a mean of 5 years and a standard deviation of 1 year. A sample of 25 devices was selected from the production line. What is the probability that the sample mean lifespan of these devices is greater than five and a half years?
A courier services company has found that the delivery time for packages is normally distributed, with a mean of 14 hours and a standard deviation of 2 hours. What is the probability that a randomly selected package will be delivered in between 12 and 15 hours?
A student knows correct answers to 6 questions out of 8 questions from the book.(A)If a professor asks 5 questions from the book, what is the probability that a student knows correct answers to at least 4 of these questions?(B)Let X be the number of questions that can be answered correctly by thestudent from a sample of 5 questions asked by the professor. Find themean and the standard deviation of X.
A newborn baby is classified as having Extremely Low Birth Weight (ELBW) if it weighs less than 1000 grams (g). The average weight of children with ELBW is N.d. with mean 815g and standard deviation 100g. What is the probability that an SRS of 45 children with ELBW weighs less than 810?
The 3-point shooter star of your favourite team usually attempts six 3-point shots in a basketball game. The team record shows that the shooter makes 25% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 1.25 standard deviation more than the expected?
A report on egg consumption shows that people living in China eat an average of 196 eggs each year with a standard deviation of 18.3 eggs. If a group of 81 Chinese people are selected at random, what is the probability that the average egg consumption of this group will be more than 200 eggs?
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.7 minutes and a standard deviation of 3.5 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 33 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 33 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 33 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)

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