A component that is critical to the correct functioning of a power plant must be replaced immediately when it fails. Suppose that the lifetime of these components are independent random variables with mean 5 hours and variance 25 hours. We will assume that only this component can fail on the plant, and the time to replace a defective component is negligible if a new one is available in stock. (a) On average, for many hours can the plant operate without inter- ruption if it has 100 such components in stock. (b) How many components is needed in stock so that the probability that the plant runs continuously for 2,000 hours is at least 0.95?

Q: There are many firms which belong to the same industry. It is known that in average there are 77…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 77 and…

Q: The university data center has two main computers. The center wants to examine whether computer 1 is…

A: The summary of the statistics is, The pooled standard deviation is,

Q: he university data center has two main computers. The center wants to examine whether computer 1 is…

A: GivenFor computer -1Mean(x¯1)=62standard deviation (s1)=16sample size(n1)=11For…

Q: Based on this sample information, do you think the machine needs an adjustment

A: From given data we have  n=25,α=0.01s2=0.029 The population variance should not exceed 0.015 square…

Q: a) A manager of a computer store knows that 19% of PC sold out returned to his store for repair…

A: Answer: Given that: p=0.19 , n= 5 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: A set of solar batteries is used in a research satellite. The satellite can run on only one battery,…

A: The chi square (χ2) test is used to check the significant difference between the population variance…

Q: A pharmaceutical company conducted a study to test the effect of a new high blood medication. The…

A: The company selected 15 subjects from a population. Each subject was randomly assigned to one of…

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: Bolts are manufactured with a nominal length of 5 cm, and it is known from past experience that the…

A:

Q: Bolts are manufactured with a nominal length of 5 cm, and it is known from past experience that the…

A: Given data: 5.68 , 5.13 , 5.82 , 5.71 , 5.36 , 5.52 , 5.29 , 5.77 , 5.45 , 5.39

Q: The number of emails a professor receives per day is observed to be a Poisson random variable with…

A: Given  p=2/3 , variance=81, time=t=5min

Q: A set of solar batteries is used in a research satellite. The satellite can run on only one battery,…

A: Note Hey, since there are multiple subparts posted, we will answer first five (up to hypothesis…

Q: 8) A soft-drink dispensing machine is said to be out of control if the variance of the contents…

A: Given n=25 Population variance=1.15 Sample variance=2.03

Q: Identify the critical region.  Determine the test statistic State the proper conclusion.

A: Let Number of mice receive treatment ,n1 =5 Number of mice do not receive treatment ,n2 =4

Q: If a binomial random variable is based on 15 trials with a 0.2 probability of success, what is the…

A:

Q: 4) Explain why outliers are weighted higher in the Variance equation WIR. n-1 (xi -x)2 Is this a…

A: Outliers are the data points that does not follow the common trend of the data. Data with many…

Q: detect. Just imagine one pairs of cars of the same

A: Suppose chemical engineers wish to compare fuel economy obtained by two different formulations of…

Q: th of the pulse for a particular Ise length is normally distribu A type of pacemake s than 0.10. If…

A: Given data : sample size, n = 20 population standard deviation,σ= 0.1 sample…

Q: A manufacturing company is interested in buying one of two different kinds of machines for…

A:

Q: A marketing research firm wihes to compare the prices charged by 2 supermaket chains -Publi's and…

A:

Q: Nagy et al. (A-27) studied 50 stable patients who were admitted for a gunshot wound that traversed…

A: Solution

Q: 2 Five samples of cloth are cut in half and one half of each sample is treated with a 3.…

A: Given the data as Sample clothes Treated pieces Untreated pieces 1 20.5 20.1 2 21.3 20.8 3…

Q: and that they claim their batteries will last on average, 3 years with a variance of 1 year. A…

A: given data : 1.9,2.4,3.0,3.5,4.2 from the above given data sample size,n= 5…

Q: Mr. Dela Cruz can take either two roads to the airport from his home (Road A or Road B) owing to…

A: Given that: Road A: μ=54σ2=5 Road B: μ=54σ2=10

Q: Suppose cracks exist in a polymer, and the crack length of a randomly selected crack is normally…

A:

Q: An experimental work to measure the strength of a particular steel was conducted. It was found that…

A: Given: μ=70σ2=9σ=σ2σ=3

Q: An examination in biology has been taken by biology majors and also by some students from other…

A: Given:

Q: A set of solar batteries is used in a research satellite. The satellite can run on only one battery,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Data was collected on bolt failures in tower anchors. A large number of anchor assemblies, each with…

A: To solve this problem, we can model the number of passing bolts in each assembly as a binomial…

Q: The probability that the average time of the sample does not exceed 168 minutes. b) The probability…

A: Given that  μ= 165 , σ2=144 ) μ= 165 , σ=√144=12  n=210 Formula for Z-score Z=(X-μ)/σ

Q: that a variance of o = 23 months (squared) is most desirable for these batter ies. A random samiple…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Bolts are manufactured with a nominal length of 5 cm, and it is known from past experience that the…

A: Given that: 5.68 5.13 5.82 5.71 5.36 5.52 5.29 5.77 5.45 5.39 Sample size, n = 10 Variance,…

Q: The university data center has two main computers. The center wants to examine whether computer 1 is…

A: The null and alternative hypotheses are stated as follows: It is assumed that samples coming from…

Q: Suppose we'd like to address the power for a new RCBD study with 4 treatments and anticipate the…

A: RCBD'- Randomized complete block design Mean of blocks: 80 83 86 89 Block Variance 25 Residual…

Q: estimate the probability that 100 packages will have total weight more than 1020kg.

A: An airfreight company has various classes of freight. In one of these classes the average weight of…

Q: 5) A machine makes drill bits. When the machine is operating correctly, the variance of the diameter…

A:

Q: Lower limit: Upper limit:

A: Given:  Level of significance = 0.01 Populations are normally distributed with equal variances.…

Q: esla has a robust manufacturing process for its electric vehicles. The time required to completely…

A: Given : The time required to completely assemble a Model 3 electric vehicle is normally distributed…

Q: We observe two groups of random variables: A group: x1, ... , Xna are na independent random…

A:

Q: A professor claims that the final exam grades are more widely dispersed in Principles classes…

A: Assume that the variance of final exam grades for Principal classes is σ12 and the variance of final…

Q: You may need to use the appropriate technology to answer this question. A sample of 21 items from…

A: Sample size of first sample  n1 =21Sample variance s12=5.5Sample size of first sample  n2 =26Sample…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.