- Using The Approximation Mentioned In Question 1 What Is The Probability That Ryan S Total Waiting Time At The Bus Stop 1 (83.36 KiB) Viewed 31 times
Using the approximation mentioned in question 1), what is the probability that Ryan's total waiting time at the bus stop
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Using the approximation mentioned in question 1), what is the probability that Ryan's total waiting time at the bus stop
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 14 hours?
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 10.9 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 fimes at the bus stop are independent. During a term at Down-Under university, Ryan and Miriam take that bus together 81 times. Ryan and Miriam's average waiting time at the bus stop during the term is Xˉ=81X1+X2+X3+⋯+X81 1) a) What distribution does Xˉ follow? Xˉ approximately follows a binomial 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 normal distribution. b) Justify your answer to the previous question. (Note that there are more questions below this free-answer box) we retmored the essiny too tar the Mch us wathly lesson warsian. You carnot answer it here but you car discuss wn the ferum what the arswer would be. c) What is the mean of Xˉ ? (Enter the exact value in the box below.) d) Calculate the standard deviation of Xˉ. 田 □ 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 81 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 14 hours? 田 [ Enter the numerical part of your answer comect to at least 3 significant figures in the
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 10.9 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 fimes at the bus stop are independent. During a term at Down-Under university, Ryan and Miriam take that bus together 81 times. Ryan and Miriam's average waiting time at the bus stop during the term is Xˉ=81X1+X2+X3+⋯+X81 1) a) What distribution does Xˉ follow? Xˉ approximately follows a binomial 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 normal distribution. b) Justify your answer to the previous question. (Note that there are more questions below this free-answer box) we retmored the essiny too tar the Mch us wathly lesson warsian. You carnot answer it here but you car discuss wn the ferum what the arswer would be. c) What is the mean of Xˉ ? (Enter the exact value in the box below.) d) Calculate the standard deviation of Xˉ. 田 □ 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 81 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 14 hours? 田 [ Enter the numerical part of your answer comect to at least 3 significant figures in the
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