b) A bottled water company has found in the past that 2% of their bottled water does notmeet the company's high standards. As such periodic samples are taken and tested fortheir quality. If from the last batch a sample of 12 bottles are taken and tested, determinethe probability:iv.Calculate the probability that at most 2 bottles do not meet the company'sStandardsThe expected number of bottles that do not meet the company's standards.V.c) The amount of sodium sulfate, in mg, found in the bottled water follows a normaldistribution with a mean 13mg and a standard deviation of 2.5mg. It is known that 76%of the bottles have a mean that is more than x mg. Find the value of x.|

Answered: Image /qna-images/answer/153421f1-1f61-436a-8fc1-38ff81796517.jpg

Answered: b) A bottled water company has found in…

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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It has been estimated that only about 25% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 5 residents in the County. Let X be the number of residents who have adequate earthquake supplies. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 residents who have adequate earthquake supplies in this survey? b. What is the probability that less than 2 residents who have adequate earthquake supplies in this survey? c. What is the probability that at most 2 residents who have adequate earthquake supplies in this survey? d. What is the probability that between 1 and 3 (including 1 and 3) residents who have adequate earthquake supplies in this survey?
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 21% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. |(Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. Yes, because both generators fail about % of the time they are needed, which is low enough to not impact the health of patients. (Round…
Suppose a large shipment of laptop computers contained 12% defectives. If a sample of size 286 is selected, what is the probability that the sample proportion will be less than 7% ? Round your answer to four decimal places.
The police have estimated that there are twelve major accidents per day on a particular 10-mile stretch of a national highway. Suppose the incidence of accidents is evenly distributed on this 10-mile stretch of the highway. a. Find the probability that there will be fewer than eight major accidents in this 10-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability b. Find the probability that there will be more than two accidents in a 1-mile stretch of this highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) Probability
A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? L
Vehicles pass through a junction on a busy road at an average rate of 200 per hour. Determine the following: 1. The probability that less than 50 vehicles will pass through the junction in the next 30 minutes. 2. The probability that more than 200 will pass through the junction in the next 30 minutes.
In a video game, a specific attack succeeds at a rate of 20% and every try is independent. Determine the probability that the first attack lands on the 3rd try.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
You want to study the probability of a single slug surviving one day after excessive heat exposure, so you design an experiment where you expose 100 slugs to a temp of 40 degrees Celcius for 6hrs then record the casualties and survivals after 24hrs. In the end, 45 slugs died. a. Determine the probability of all possible events b. Based on your experimental results, determine the probability of the single snail surviving c. How many individuals would you expect to survive after 24hrs from exposure if the experiment was run with 520 slugs instead of 100?
A Beneficiation Engineer is in charge of a particular process (crushing of ore at least 9-inch diameter) at a mining company. Past experience indicates that 10% of all shutdowns are due to equipment failure alone, 5% are due to a combination of equipment failure and operator error, and 40% involve operator error. A shutdown occurs. Find the probability that the operator error is involved given the equipment failure occurs.
The marketing department at Skywalker Inc. has just realized that its competitor, VaderEnterprises, has started producing a rival product, RedSaber. Because both productscompete directly for the same consumer segment, the combined demand (i.e., the sum)of BlueSaber and RedSaber remains normally distributed with mean 100 and standarddeviation 20. The demand for BlueSaber is now a random fraction of this total demand;with the remainder of total demand going to RedSaber. This random fraction is either0.3 or 0.9 with equal probability, and this random fraction is statistically independent ofthe total demand for both BlueSaber and RedSaber. (i.) What is the expected demand for BlueSaber? (ii.) What is the probability that the demand for BlueSaber is less than 40?

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