The mean number of breakdowns of a conveyor belt per month at a local factory is 56. Assume that each breakdown occurs randomly andindependently.Let X = the number of of breakdowns of a conveyor belt per month.(a) Is X a discrete or continuous random variable? (Type: Discrete or Continuous)(b) What is the exact probability that anywhere from 55 to 57 breakdowns will occur in the next month? Answer:(c) Use the normal approximaion to the poisson distribution to estimate the probability in part (b). Answer:

Given : (i)Average rate of breakdown of the conveyer belt is 56 per month(ii)Breakdowns are random…

Answered: The mean number of breakdowns of a…

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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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.5 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) (b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
1. Distinguish Discrete Random Variable from Continuous Random Variable. 2. Distinguish Continuous Probability Distribution from Discrete Probability Distribution.
Q3: The average number of bicycle accidents at on the road is 5 per week. 1- What is the probability that no accident will occur in a given week? 2- What is the probability of three or fewer accidents occurring in a given week? 3- What is the E(x) and variance of it?
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.5minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Let A be a random variable corresponding to the sum of the outcomes of two independent rolls of a fair 6-sided die (numbered from 1 to 6). Determine the variance of A.
A bridge has caused a lot of accidents. A rough statistics shows for every 100,000 vehicles passing by the bridge, 3 of them will crash. (a) There are approximately 250,000 vehicles passing by the bridge in a month. Let X be the number of crashed vehicles. What distribution does X follow (that is what kind of random variable is X)? State the assumptions. Use it to compute the expected value of X and the probability of having ≥ 2 car crashes. (b) By law of rare events, X is approximated by a Poisson random variable. What is the intensity? Use this to compute the probability of having ≥ 2 car crashes. Compare the result with (a). (c) For every crashed vehicle, with 0.25 probability the damage is classified as "severe." Let Y be the number of severely crashed car within two months. Find the probability of Y ≥ 3 using Poisson approximation.
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.2 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Your income (.) per month is a Gaussian random variable with mean 2990 NIS and standard deviation 240 NIS. Your monthly expenditure (ia) also follows the Gaussian distribution with mean 2400 NIS and standard deviation 270 NIS. TABLE CTICAL VALINS TUDENS DSTRIBUTION Chi Styue atrihaxe Tali Find the probability that in a given month you will be able to save (i) at least 1000 NIS. [The answer should be a number rounded to five decimal places, don't use symbols such as %] E 明中非非

Let X be a chi-squared random variable with 12 degrees of freedom. What is the probability that X is greater than 23? What are the steps to come to this conclusion?
Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 400 voters finds that 208 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? Based on your result, comment on the dangers of using exit polling to call elections. 5: 5 on (7: StatC Comment on the dangers of using exit polling to call elections. Choose the correct answer below. O A. The result is not unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if exit polling alone is considered. O B. The result is unusual because the probability that p is equal to or more extreme than the sample proportion is less than…
If able please provide some explanation with the following exercise, thank you in advance.
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.7 minutes and a standard deviation of 3.5 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 33 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 33 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 33 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)

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