Nuclear power plants have redundant components in important systems to reduce thechance of catastrophic failure. Assume that a plant has two gauges to measure the level ofcoolant in the reactor core and that each gauge has probability 0.01 of failing. Assume thatone potential cause of gauge failure is that the electric cables leading from the core to thecontrol room where the gauges are located may burn up in a fire. Someone wishes toestimate the probability that both gauges fail, and makes the following calculation:P(both gauges fail) = P(first gauge fails) x%3DP(second gauge fails)= (0.01)(0.01)= 0.0001What assumption is being made in this calculation?Explain why this assumption is probably not justified in the present case.a.b.Is the probability of 0.0001 likely to be too high or too low? Explain.C.

(a) It is provided that a plant has two gauges to measure the level of coolant in the reactor core…

Answered: Nuclear power plants have redundant…

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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You know that buffaloes have adult weights that are distributed by B = N(2000,200) where the given mean and standard deviation is in Ibs. You inherit a baby buffalo. Find the probability that your buffalo grows up to be at least 1990 pounds. Find the probability that your buffalo will eventually weigh between 1950 and 2100 lbs. How much would your buffalo have to weigh in order to outweigh 98% of all grown buffalo.
Rod is a drummer in a band, who purchased his drumsticks online. when practicing with the newest pair, he noticed that they feel heavier than normal. When he weighs one of his drumsticks it is 2.23oz. the manufacture's website states that the average weight of each drumstick is 1.85oz with a standard deviation of 0.18 oz. Assume that the weight of the drumsticks is normally distributed What is the probability of the drum sticks weighing 2.23oz or greater? give your answer as a percentage with 2 precise decimal places using a table of standard normal critical values may be useful to finding your answer
Please help me solve this.
Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 8.5. Find the probability of no dandelions in an area of 1 m2. P(X = 0) = Find the probability of at least one dandelion in an area of 1 m2. P(at least one) = Find the probability of at most two dandelions in an area of 1 m2. P(X < 2) =
A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.
The bacterium Staphylococcus aureus is commonly found on the skin and rarely causes major problems. If it gets under the skin or into the lungs it can cause boils or pneumonia. If the strain of bacterium causing these problems is resistant to methicillin, the infections can be life threatening. Methicillin resistant Staphy- lococcus aureus or MRSA is, therefore, a major concern in hospitals and clinics. Given the death rate from MRSA lung infections is 20%, if 20 patients are admitted in the hospital find the following probabilities: (a) Less than 3 die (b) At least 3 die. (c) Between 6 and 3 die.
Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 14,19,16,14,19,19,14,21,17,17,14,17 Give the p-value and interpret the results. a) p = 0.0012; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. b) p = 0.0012; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0023; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and…
Cell Phone Radiation Listed below are the measured radiation absorption rates (in W/kg) corresponding to these cell phones: iPhone 5S, BlackBerry Z30, Sanyo Vero, Optimus V, Droid Razr, Nokia N97, Samsung Vibrant, Sony Z750a, Kyocera Kona, LG G2, and Virgin Mobile Supreme. The data are from the Federal Communications Commission. If one of each model of cell phone is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother. Mother’s Age False-Positive Rate False-Negative RateUnder 30 0.040 0.37630-34 0.082 0.29035-37 0.178 0.269Over 38 0.343 0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age Probability of Down Syndrome25 1/130030 1/90035 1/35040 1/10045 1/2549 1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…

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