Modeling and Simulation A lamp - exp() = 1/4 per hour), hence, on average, 1 failure per 4 hours. What is?the probability that the lamp lasts between 4 to 5 hours%3De"a*.aF(x)=x= 0,1,.x!otherwisep(x)=1-0[0,E(X) = a = V(X)ANSWER: P(4 s x s 5) = 0.818.b Ole*, x20(0,F(x =0, elsewherer<0[ ie*d=1-e*, x20EX) = 1/, V(X) = 1/2ANSWER: P(4 s xs 5) = 0.081ANSWER: None of these.c.d Op°q"*, x=0,1,2,., np(x) =-|0,otherwiseЕ(x) — пр, Ү(X) - пра%3DANSWER: P(4sxs 5) = 0.743

Answered: A lamp - exp(A = 1/4 per hour), hence,…

A lamp - exp(A = 1/4 per hour), hence, on average, 1 failure per 4 hours. What is ?the probability that the lamp lasts between 4 to 5 hours

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Solve An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes…

A: Given Information: sample size (n)=05Sample space={23.01, 22.22, 22.04, 22.62, 22.59}α=0.05

Q: 4. The frequency distribution below gives the cost of production of sugarcane in holdings. Obtain…

Q: Is there enough evidence to support the political scientist's claim that the proportion of college…

A: According to the given information in this question We need to answer last two parts

Q: The regession model output of an autoregressive (AR2) model are shown below: Coefficients Constant…

A: The regression equation is y' = 0.006503139 + 1.089593514 Lag1 - 0.09525277 Lag2

Q: List down five (5) different real-life situations where hypothesis testing can be done. Identify the…

A: Hypothesis testing is a type of inferential statistics.

Q: Find the Pearson r Correlation Coefficient: r = Blank 1 Find the equation of the regression line: y…

A: The regression equation is given by y' = a + bX

Q: A company that produces computers know that 4% of the computers made are defective. The company…

A: Assume that p is the true defective rate of computers made.

Q: It has been observed that the average number of accidents that occur on an assembly line is 3 per…

A: (i) Obtain the probability that the particular week will be accident free. The probability that…

Q: Find the critical value zα/2 that corresponds to α=0.03. Question content area bottom Part 1…

A: We have given that, Significance level (α) = 0.03 Then, We will find the critical value for…

Q: The given contingency table lists the cross tabulation of whether adults, for whom answering the…

Q: Rank the data sets described in order of the least spread out (1) to the most spread out (5) based…

A: The standard deviation is the measurement of the spreadness. If the standard deviation of the data…

Q: A state wildlife service wants to estimate the mean number of days that each licensed hunter…

A: Given, Margin of error, E = 2 Standard deviation, σ = 10 Significance Level, α = 0.05

Q: A 0.01 significance level is used for a hypothesis test of the claim that when parents use a…

Q: Given the Data: Seconds Frequency 66-70 4 61-65 8 56-60 7 51-55 2 Compute for the: a) Standard…

Q: Portfolio Benchmark 22.00% 16.00% -7.50% -2.30% 8.63% 17.88% 21.25% -9.63% -3.88% 3.25% 9.15% 11.21%…

A: Regression Analysis: Regression analysis is a statistical tactic for demonstrating the connection…

Q: DATA ANALYSIS PROBLEM SOLVING The mean GPA for a random sample of 120 students from a large…

Q: We use the form ý -a + bx for the least-squares line. In some computer printouts, the least-squares…

A: Given that

Q: Question 3: Using Microsoft Excel: (Excel file Assignment10.xlsx) a. Calculate the mean and sample…

A: Given data indicates the death rate per 100,000 people per state and Donald Trump's share of the…

Q: Use the Student Unit Load data. Student Unit Load 3, 12, 6, 9, 6, 12, 15, 12, 7, 9, 3 Find…

A: Given n=11

Q: Use the given information to find the number of degrees of freedom, the critical values χ2L and…

A: Given, Sample size, n = 28 Sample standard deviation, s = 65.8 Confidence interval = 80% Significant…

Q: Use the given confidence level and sample data to find a confidence interval for the population…

Q: ) find "c" s.t P(S² < c) = 0.95 if X{:n(µ, 12),n = 6, X² = 11.10. %3D

Q: Use the given degree of confidence and sample data to find a confidence interval for the population…

Q: Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose…

A: Claim : the proportion of subjects who respond in favor is equal to 0.5.

Q: follow until degrees of freedom becomes p-value. How did we get to 0.0036?

Q: Express the confidence interval 30%±3.2%30%±3.2% in interval form

Q: For each of the items below, determine the corresponding estimators using the MLE approach: Ket X1,…

Q: Let X1, X2, ... Xn be a random sample from N (u, o?). Determine AMME and omAE

A: Given, Let X1,X2,…,Xn be normal random variables with mean μ and variance σ2.

Q: From the scores in subject statistics for 8 students, it was found that the mean score is 73 and the…

A: We have given that, Sample mean (x̄) = 73, standard deviation (s) = 5.15 and sample size (n) = 8…

Q: If a couple were planning to have three children, the sample space summarizing the gender outcomes…

A: a) The couple plans to have 2 children.

Q: A random sample of 100 observations from the first population was found to have a sample mean of 85…

A: The following information has been provide. Sample mean1 = 85 Sample mean 2 = 93 Sample size 1 =…

Q: а. Define the following: i. Mutually exclusive events (Give an example) ii. Stratified random…

A: i) Two events are said to be mutually exclusive if there is no element in common. A -she catches the…

Q: only 4 had no brothers or sisters, and only child in the household. If a student is randomly sel at…

A: See the hand written solution

Q: An economist wants to find out if there is difference in the monthly expenses of families from…

Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

A: From the given values

Q: 6. An external review team examines an ordered random sample of 14 Wossamotta U employee salaries…

A: The question is about central tendency and identifying outliers Given : Salaries of employees ( in…

Q: Distribution of Output from: Transportation Manufacturing Services Purchased by: 0.3 0.8…

Q: et X1, X2, ... Xn be a random sample from N (u, o²). Determine ûMle and ôMLE-

A: To get the MLE of parameters of Normal distribution, we will differentiate the likelihood function…

Q: You wish to test the alternative hypothesis that u > 6 at a level of significance of a = 0.05 and…

A: Consider that μ is the population mean.

Q: 4. (a) Explain how a decision function relates to a rejection region.

A: Given information: Decision rule or the decision function is formulated for the circumstances where…

Q: Bivariate Data Camera Width (cm) vs Weight (Kg) Width (cm) Weight (kg) 7.2 150 7.9 100 9.8 245 9.4…

A: Please find the explanation below. Thank you

Q: (a) State the null hypothesis Ho and the alternative hypothesis H,. H, :0 H :0 (b) Determine the…

Q: Find the Pearson r Correlation Coefficient: r = Blank 1 Find the equation of the regression line: y…

A: Correlation coefficient is denoted by r

Q: Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the…

A: Given information- We have given the equation of the regression line- y = -10.69 + 1.11x Here, x =…

Q: What is a consequence of having a restricted range in how variables are measured?

A: first we see what is mean by restricted range Restricted range: Meaning of restricted range is…

Q: A. For items 1-8, Complete the column under Lower Boundaries. CLASS INTERVAL Less than cumulative…

A: Given the frequency distribution table to calculate the value of D5

Q: Which confidence interval would lead you to Fail to Reject H0? Group of answer choices Test value:…

A: Which confidence interval would lead you to Fail to Reject H0 ? If confidence interval contains null…

Q: Let X1, X2, ..., X, be a random sample from a normal population with mean u and variance o? taken…

A: Given iid samples: X1, X2, ...., Xn ~ Nμ,σ2Y1, Y2, ...., Ym ~ Nθ,σ2

Q: To test the hypothesis that type of residence affects happiness, a study was done on 3 groups of…

A: The question is based on a one way - ANOVA Given :

Q: Health issues due to being overweight affect all age groups. By community records, children aged…

A: Claim : population proportion is less than the community proportion.

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Modeling and Simulation

A lamp - exp() = 1/4 per hour), hence, on average, 1 failure per 4 hours. What is
?the probability that the lamp lasts between 4 to 5 hours
%3D
e"a*
.a
F(x)=
x= 0,1,.
x!
otherwise
p(x)=
1-0
[0,
E(X) = a = V(X)
ANSWER: P(4 s x s 5) = 0.818
.b O
le*, x20
(0,
F(x =
0, elsewhere
r<0
[ ie*d=1-e*, x20
EX) = 1/, V(X) = 1/2
ANSWER: P(4 s xs 5) = 0.081
ANSWER: None of these
.c
.d O
p°q"*, x=0,1,2,., n
p(x) =-
|0,
otherwise
Е(x) — пр, Ү(X) - пра
%3D
ANSWER: P(4sxs 5) = 0.743

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

If X is a random variable that is uniformly distributed between -1 to 1, find the PDF √|X| of and pdf of -ln|X|
When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands is exponentially distributed with parameter ?=1/313.3λ=1/313.3. What is the probability that, on a random occasion when I go swimming, I swim at least 593.3593.3 meters without getting hand cramp?Give your solution accurate to 4 decimal places.
A simple random sample X1, …, Xn is drawn from a population, and the quantities ln X1, …, ln Xn are plotted on a normal probability plot. The points approximately follow a straight line. True or false: a) X1, …, Xn come from a population that is approximately lognormal. b) X1, …, Xn come from a population that is approximately normal. c) ln X1, …, ln Xn come from a population that is approximately lognormal. d) ln X1, …, ln Xn come from a population that is approximately normal.
A particular pumping engine will only function properly if an essential component functions properly. The time to failure of the component ( in thousands of hours) is a random variable X with probability density f(x) = 0.02xe-0.01x^2 for x > 0. What is the proportion of pumping engines that will not fail before 10,000 hours of use? What is the probability that the engine will survive for another 5000 hours, given that it has functioned properly during the past 5000 hours?
Consider a random variable X with E[X] = 10, and X being positive. Estimate E[ln square root(X)] using Jensen’s inequality.
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). b) What water-pumping capacity should the station maintain during early afternoons so that the probability that demand will be below the capacity on a randomly selected day is 0.995? c) Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?
Consider a cohort of patients receiving an experimental two-year treatment for a serious disease. Suppose that only 20% of the patients survive to the end of the second year. Assume CFM (constant force of mortality) within each year of treatment. Find the probability that a patient who survives the first four months dies by the end of the 20th month. Round to 4 decimal places.
A continuous random variable has the probability density function f(x) = 1/8 for 0 ≤ x ≤ 8. What is the expected value of X?
Consider the random variable with a probability density function of f(x)= (1/x ln(1.5)), 4<=x<=6 and f(x) = 0 elsewhere. What is the expected value of this random variable? What is the median of this random variable?
The operator of a pumping station has observed that demand for waterduring early afternoon hours has an approximately exponential distribution with mean 1000cfs (cubic feet per second).a) Find the probability that the demand will exceed 700 cfs during the early afternoonon a randomly selected day.b) What water-pumping capacity should the station maintain during early afternoons sothat the probability that demand will be below the capacity on a randomly selectedday is 0.995?c) Of the three randomly selected afternoons, what is the probability that on at least twoafternoons the demand will exceed 700 cfs? 2. Let Y1 and Y2 be random variables with joint density functionf(y1, y2) = (6/7(y^2+y1y2/2) 0 < y1 < 1, 0 < y2 < 2,0, elsewherea) Find marginal density functions. Are Y1 and Y2 independent?b) Find P(0 < Y1 < 0.3, −2 < Y2 < 1).c) Find P(0.6 < Y1 < 1|0 < Y2 < 1). 3.The joint density function of Y1 and Y2 is given byf(y1, y2) = (y1 + y2), 0 <…
The life X (in hours) of a battery in constant use is a random variable with exponential density. What is the probability that the battery will last more than 12 hours (h) if the average life is 8 h?
The random variable x follows a uniform probability distribution in the interval (0,1); the probability of obtaining x values outside this range is zero. What is the probability distribution of y = ln x?