The lifetime of a certain lightbulb is a random variable with the expectation of 9000hours and a standard deviation of 400 hours. What is the probability that theaverage lifetime of 64 of these lightbulbs is more than 9100 hours? [Hint: Usethe Central Limit Theorem.]SHOW YOUR WORK.ParagraphBIU A+ vCAFOADIIF3F4FSprt scF10homeendF12F6F7insertF8F9F11%24IIIlili

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Answered: The lifetime of a certain lightbulb is…

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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3.3.13 A physics class has 50 students. Of these, 16 students are physics majors and 15 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All All parts showing 12:17 AM a 4/4/2021 20 P Type here to search 99+ ort sc 144 hho insert esc & 7 8. %23 3. 4 8. 9. backspace W R. T Y tab enter caps lock pause shift 1 V MI ctrl fn alt ctri
vm 6.2 10 The table summarizes results from 976 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 41 85 No 219 631 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated.Report the answer as a percent rounded to one decimal place accuracy.
z-HW 6.2 Hailey V Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part: 0/2 Part 1 of 2 (a) The student makes more than $15,500. P(X>15,500)= %3D Save For Later Submit Assignment PAcy Accessibity Check Skip Part 2021 MGa H Eacanon A ge Asred To of Lise MecBook Pro
Directions: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a turnpike is an exponential random variable with expected value 30 seconds. 1. Find the probability that the time between successive arrivals is more than 70 seconds. Probability = 2. Find the probability that the time between successive arrivals is greater than 10 seconds and less than 50 seconds. Probability =
The amount of time, T, that the effect of caffeine is felt on your body after drinking a cup of coffee is given by a continuous random variable with an exponential distribution. On average, caffeine is felt for about 5 hours after drinking the cup. (Answer part a-c) a. What is the probability that the effect lasts at least 4 hours? b. What is the probability that the effect lasts fewer than 6 hours? c. You usually go to sleep at 11:30 pm, and drink exactly one cup of coffee a day. Suppose you wish to guarantee at most a 5% chance of feeling the effects of caffeine when you go to sleep. What's the latest that you should drink your only cup of coffee?
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Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution with a μ = 42.5 minutes. A statistician randomly selects n = 38 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X ? minutes and a standard deviation ox ☐ minutes. with a mean x (b) What is the probability that the average time for this sample of n = 38 airline passengers to clear security is between 32 minutes and 57 minutes? Enter your answer using all the decimals you can. (c) 97% of the time, the mean time it takes n = 38 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can. minutes
X 1 2 3. A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution. 3 4 5 6 P(x) 0.35 0.20 0.15 0.10 0.05 x*P(x a. Define the random variable x. b. Define P(x), or the probability of x. c. Find the probability that a physics major will do post-graduate research for four years. P(x = 4) =_ d. Find the probability that a physics major will do post-graduate research for at most three years. P(x ≤ 3) =_ e. On average, how many years would you expect a physics major to spend doing post-graduate research?
A company is striving to achieve 3-sigma performance on a particular process. It is determined that the current process is capable of meeting this goal. Which of the following is therefore definitely true? A. Pp > 1.33 B. Ppk ≥ 1.0 C. Ppk ≤ 1.0 D. Ppk = 1.0
Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution with a µ = = 44.5 minutes. A statistician randomly selects n = 42 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X ? minutes. minutes and a standard deviation σχ = with a mean x = (b) What is the probability that the average time for this sample of n = 42 airline passengers to clear security is between 30 minutes and 61 minutes? Enter your answer using all the decimals you can. = :42 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? (c) 99% of the time, the mean time it takes n Enter your answer using all the decimals you can. minutes

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