Dr Tatauranga, Ryan and Miriam's lecturer at Down-Under university, points out that if you add their 84 waiting times at
Posted: Thu Jul 14, 2022 4:51 pm
Dr Tatauranga, Ryan and Miriam's lecturer at Down-Underuniversity, points out that if you add their 84 waitingtimes at the bus stops during a term, you will see that Ryanand Miriam spend hours and hours waiting at the bus stopover a term!
Using the approximation mentioned in question 1), what is theprobability that Ryan's total waiting time at the bus stop over thecourse of a term will exceed 12 hours?
Note from school tutor:
"Part 1) you have the distribution for the averagewaiting time per trip. This question is in terms of waiting timefor the whole term, so you have to change this to time pertrip. If Ryan spends 12 hours waiting for thebus in total throughout the term, what is the average amountof time Ryan spends waiting for thebus per trip?"
"This question is related to the sample mean as a randomvariable"
Ryan and Miriam are roommates who take the bus 396 together almost every weekday to go to Down-Under university. Let X be their waiting time at the bus stop (in minutes) before the bus 396 arrives. The random variable X follows a Bus396 distribution with mean 9 and standard deviation 2.6, whose density function roughly looks like: Let X1 be their waiting time the first time they take the bus 396 , let X2 be their waiting time the second time they take the bus 396 , etc. The waiting times at the bus stop are independent. During a term at Down-Under university, Ryan and Miriam take that bus together 84 times. Ryan and Miriam's average waiting time at the bus stop during the term is Xˉ=84X1+X2+X3+⋯+X84 1) a) What distribution does Xˉ follow? Xˉ approximately follows a normal distribution. We do not have enough information, so it is impossible to have any idea of the distribution of Xˉ. Xˉ approximately follows a t distribution. Xˉ approximately follows a binomial distribution. b) Justify your answer to the previous question. (Note that there are more questions below this free-answer box) In the exam, there was this essay-box, which had to be hand-marked by a human We removed the essay box for the Mbbius weekly lesson version. You cannot answer it here but you can discuss on the forum what the answer would be. c) What is the mean of Xˉ ? (Enter the exact value in the box below.) d) Calculate the standard deviation of Xˉ. Q (Enter the numerical part of your answer correct to at least 4 decimal places in the box below.) 2) Dr Tatauranga, Ryan and Miriam's lecturer at Down-Under university, points out that if you add their 84 waiting times at the bus stops during a term, you will see that Ryan and Miriam spend hours and hours waiting at the bus stop over a term! Using the approximation mentioned in question 1), what is the probability that Ryan's total waiting time at the bus stop over the course of a term will exceed 12 hours? 7 [ (Enter the numerical part of your answer correct to at least 3 significant figures in the box below.)
Using the approximation mentioned in question 1), what is theprobability that Ryan's total waiting time at the bus stop over thecourse of a term will exceed 12 hours?
- Dr Tatauranga Ryan And Miriam S Lecturer At Down Under University Points Out That If You Add Their 84 Waiting Times At 1 (107.33 KiB) Viewed 45 times
"Part 1) you have the distribution for the averagewaiting time per trip. This question is in terms of waiting timefor the whole term, so you have to change this to time pertrip. If Ryan spends 12 hours waiting for thebus in total throughout the term, what is the average amountof time Ryan spends waiting for thebus per trip?"
"This question is related to the sample mean as a randomvariable"
Ryan and Miriam are roommates who take the bus 396 together almost every weekday to go to Down-Under university. Let X be their waiting time at the bus stop (in minutes) before the bus 396 arrives. The random variable X follows a Bus396 distribution with mean 9 and standard deviation 2.6, whose density function roughly looks like: Let X1 be their waiting time the first time they take the bus 396 , let X2 be their waiting time the second time they take the bus 396 , etc. The waiting times at the bus stop are independent. During a term at Down-Under university, Ryan and Miriam take that bus together 84 times. Ryan and Miriam's average waiting time at the bus stop during the term is Xˉ=84X1+X2+X3+⋯+X84 1) a) What distribution does Xˉ follow? Xˉ approximately follows a normal distribution. We do not have enough information, so it is impossible to have any idea of the distribution of Xˉ. Xˉ approximately follows a t distribution. Xˉ approximately follows a binomial distribution. b) Justify your answer to the previous question. (Note that there are more questions below this free-answer box) In the exam, there was this essay-box, which had to be hand-marked by a human We removed the essay box for the Mbbius weekly lesson version. You cannot answer it here but you can discuss on the forum what the answer would be. c) What is the mean of Xˉ ? (Enter the exact value in the box below.) d) Calculate the standard deviation of Xˉ. Q (Enter the numerical part of your answer correct to at least 4 decimal places in the box below.) 2) Dr Tatauranga, Ryan and Miriam's lecturer at Down-Under university, points out that if you add their 84 waiting times at the bus stops during a term, you will see that Ryan and Miriam spend hours and hours waiting at the bus stop over a term! Using the approximation mentioned in question 1), what is the probability that Ryan's total waiting time at the bus stop over the course of a term will exceed 12 hours? 7 [ (Enter the numerical part of your answer correct to at least 3 significant figures in the box below.)