Rolling blackouts have become a way of life in mainy major cities around the world. With electrical demandfar outstripping production, grid operators have come to rely on this systematic means of keeping thedistribution system from experiencing complete failure. In one city, the blackout schedule has esch regionwithout power on average. 2.5 hours per day. The standard deviation of blackout times in this ciry in 0.31hour. A local hospital in the area purchases a generator that will provide power to nonessential systema for3.5 hours. If the blackout times follow a normal distribution. what percentage of time will the borpital finditself without power to these nonessential systems?99.94%1.000%0.06%3.23%

Answered: Image /qna-images/answer/8c75aa54-3d33-4343-9dee-8cd5a92ae5af.jpg

Answered: Rolling blackouts have become a way of…

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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
A particular fruit's weights are normally distributed, with a mean of 747 grams and a standard deviation of 21 grams.The heaviest 16% of fruits weigh more than how many grams?Give your answer to the nearest gram.
An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is______ B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
The weights of a certain machine components are normally distributed with a mean of 8.85g and a standard deviation of 0.08g. Find the two weights that seperate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram. Draw a picture. Use Table A-2.
ICs e 14-55. Indicate which brand you will choose and why ? Mean Standard deviation 2,000 Km. 16,000 Km. 20,000 Km. Brand A Brand B 4,000 Km. Assuming normal distribution, also indicate what percentage of brand B might be expected to run more than 24,000 kms. 002] Wirate , diswti- 1.. ..(") IYO re
Answer A through E
A race director is preparing for an upcoming marathon and estimates that the mean time to finish is 315 minutes. Assume that the times are normally distributed, with a standard deviation of 60 minutes. Use this table or the ALEKS calculator to find the percentage of times that are shorter than 453 minutes. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). % X
A private hospital stocks a “code blue” resuscitation kit that has a normally distributed demand during the reorder period. The mean (average)demand during the reorder period is 350 kits, and the standard deviation is 10 kits.
See picture for question. Explaination: Eureka is a weather station in the state of California and Essex is a weather station in the state of Massachusetts. On one summer day, the noontime temperatures recorded among weather stations in California had a population mean of 29.9° Celsius and a standard deviation of 1.1° Celsius. On that same day, the noontime temperatures among weather stations in Massachusetts had a population mean of 39.2° Celsius and a standard deviation of 4.4° Celsius. On the summer day, each state's distribution of noontime temperatures among its weather stations was clearly bell-shaped. At the Eureka weather station, the noontime temperature on the summer day was 27° Celsius, and the noontime temperature at Essex was 24° Celsius.
please see pictures. questions A, B and C

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