Earthquakes The time between major earthquakes in theSouthern California region is a random variable with probabil-ity density function defined byf(1) =9601/960where t is measured in days. Find the expected value and thestandard deviation of this probability density function. Source:Journal of Seismology.

Reviewing the information, Given density function, f(t)=1960 · e-t960 ;…

Answered: Earthquakes The time between major…

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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Bikes Bicycles arrive at a bike shop in boxes. Beforethey can be sold, they must be unpacked, assembled, and tuned (lubricated, adjusted, etc.). Based on past experi-ence, the shop manager makes the following assumptions about how long this may take:● The times for each setup phase are independent.● The times for each phase follow a Normal model.● The means and standard deviations of the times (inminutes) are as shown: a) What are the mean and standard deviation for the totalbicycle setup time? b) A customer decides to buy a bike like one of the dis-play models but wants a different color. The shop has one, still in the box. The manager says they can have itready in half an hour. Do you think the bike will be setup and ready to go as promised? Explain. Phase Mean SDUnpacking 3.5 0.7Assembly 21.8 2.4Tuning 12.3 2.7
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 3 4 Probability 0.267 0.291 0.238 0.148 0.040 0.016 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.) The variance is. (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. V The standard deviation is1. so the typical number of defects in a hal The mean is , so the average batch of 1000 machine parts has batch of 1000 (Round one decimal place as needed.) Enter your answer in each of the answer boxes. Next Question
Five normal distributions are plotted below. Their parameters (mean, standard deviation) are as follows (2, 0.5), (2, 1.5), (0, 0.5), (0, 1), (0, 2). Which plotted curve corresponds to (2, 1.5)? 0.8 А 0.6 0.5 LA 0.4 H 0.3 probability density 0.7 F 0.2 0.1 0 -6 B A -4 -2 2 4 E 6 8
electronic scale at an automated filling operation stops the manufacturing line after three underweight packages are detected. Suppose that the probability of an underweight package is 0.01 and fills are independent. 1. probability mass function 2. Probability that at least 100 fills 3. mean, variance
Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV₁. Assume the mean FEV₁ for 10-year-old boys is 2.1 liters and that the population standard deviation is 6=0.5. A random sample of 58 10-year- old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV₁ of 1.98 liters. Can you conclude that the mean FEV₁ in the high-pollution community differs from 2.1 liters? Use the α=0.10 level of significance and the P-value method with the TI-84 calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. Ho: μ = 2.1 H₁:μ #2.1 This hypothesis test is a two-tailed Part: 1 / 4 Part 2 of 4 test. Find the P-value. Round the answer to at least four decimal places. P-value:
Data for a large company shows the average length of time an employeestays with the company is 8.5 years with a standard deviation of 2.9 years. If thedata is normally distributed, find the probability a randomly selected worker hasworked for the company more than 13 years. a. 0.0606b. 0.0985c. 0.9015d. 0.9394
In an experiment of fair wheel of chance is spun with the numbers 0 to 12 on the wheel. What is the distribution and density function explain with plot.
The table below represents the probability density function for the random variable X. Find the standard deviation of X Round the final answer to two decimal places. 1/5 2/5 2/5 4 8 O Help copy to ClipboardDownload cSV
The weekly demand of a slow-moving product has the probability mass function shown in the image attached. Find the variance and standard deviaton of weekly demand The variance of weekly demand is (Type an integer or a decimal. Do not round.) The standard deviation of weekly demand is (Type an integer or a decimal. Do not round.)
A spinner contains the values 0 up to, but not including, 1. The outcomes of the spinner are equally likely, so the density curve is described by a uniform distribution as shown. Let X = the random number spun on the spinner. Height = 1 0 Random number What is the mean of X and the median of X? Mean = 0.25 Median = 0.5 Mean = 0.5 Median = : 0.5 Mean 0.75 Median 0.5 Mean = 0.5 Median = 0.25 Mean = 0.5 Median = 0.75 = -
g, h, i
Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV1. Assume the mean FEV1 for 10 -year-old boys is 2.1 liters and that the population standard deviation is =σ0.4 . A random sample of 35 10 -year-old boys who live in a community with high levels of ozone pollution are found to have a sample mean FEV1 of 1.98 liters. Can you conclude that the mean FEV1 in the high-pollution community differs from 2.1 liters? Use the =α0.10 level of significance and the P -value method with the TI-84 calculator. Part: 0 / 4 0 of 4 Parts Complete Part 1 of 4 State the appropriate null and alternate hypotheses. :H0 :H1 This hypothesis test is a ▼(Choose one) test.

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