Question: You have two different subway lines that you can take to NYU each day. The R train takes 30 minutes on average and has a

You have two different subway lines that you can take to NYU each day. The R train takes 30 minutes on average and has a standard deviation of 6 minutes. The 6 train takes 32 minutes and has a standard deviation of 5 minutes. The number of minutes it takes on both subway lines is normally distributed, and for the purposes of this problem assume that the R and 6 train travel times are independent random variables.

(a) What is the probability that on a given day, taking the 6 train will be faster than taking the R train?

(b) What is the probability that taking the 6 train for two weeks (10 trips) would give you a lower average time than taking the R train for those two weeks?

(c) You need to get to campus in 45 minutes or less to arrive on time for a job interview. Which train will maximize the probability you get there on time?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The Zambia Competition and Consumer Protection Commission is in receipt of a complaint lodged by Nia Jax Inc. ( ` informant ' ) . The complaint is made against Varied Fixtures Ltd . ( ' respondent '...

question is attached 2. You have two different subway lines that you can take to NYU each day. The R train takes 30 minutes on average and has a standard deviation of 6 minutes. The 6 train takes 32...

Suppose that in the population of children in the United States, the average number of minutes per day spent exercising is 30 with a standard deviation of 7. I select a random sample of 12 children...

M No 1 2 3 Control Group Average: Standard Deviation: 30 min 4 min 5 Number of Minutes to Fall Asleep Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Reactions Average Time Group 9 10 11 12 13 14 15 16 17...

BUS312 Fall 2020 CASE 2 BAKERS DELIGHT INTRODUCTION Bart Johnson relaxed in his easy chair listening to the waves with his daughter Gina. He loved Jamaican beaches. He loved the smell of the salt and...

Process Analysis - Berlin General Clinic (BGC) The Berlin General Clinic is an urban family clinic serving different patients since 2000. It is a small, self- contained clinic that houses also a...

OPERATONS MANAGEMENT. IE 325 Homework 1 Due April 18th, 2021 @ 17:00 Important Notes: You can work alone or in teams of 2. Don't share your work with others (cheating will be penalized). All files...

Please read the below case and help me with the following question: Identify and prioritize the management accounting issues Full analysis of options and decisions to be made including the status quo...

Please help me with my M/G/2 queueing system spreadsheet simulation question. Random numbers can be found accordingly for type1, 2 and Consider an M/G/2 queueing system with the following properties....

Please try to answer any of these that you can. No excel sheet is necessary 1. Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply...

Derive equations for obtaining the plastic viscosity and yield point from rotational dial readings ob- tained at (a) 3 and 6 rpm and (b) 100 and 200 rpm.

A standing wave is set up in a string of variable length and tension by a vibrator of variable frequency. Both ends of 65 the string is fixed. When the vibrator has a frequency f, in a string of...

(1) The vertices of a triangle are A(0,4), B(4, 2) and C(2, 2). Plot the points A, B and C on a sheet of graph paper. (ii) Plot the point D such that ABCD is a square. Hence, write down the...

Find the minimum radius at which an airplane flying at 300 m/s can make a U-turn if the centripetal force on it is not to exceed 4 times the airplanes weight.

Convert the BNF of Example 3.1 to EBNF. Data From Example 3.1: begin end > | ; = A | BIC - + | - |

Estimate the energy in joules and kcal (food calories) that a runner supplies to overcome aerodynamic drag during a 10 km race. The runner runs a 6:30 pace (i.e., each mile takes 6 minutes and 30...

Jerry Prior, Beeler AGs controller, is concerned that net income may be lower this year. He is afraid upper-level management might recommend cost reductions by laying off accounting staff, including...

Water flows with a velocity of 2 m/s and at a depth of 3 m in a rectangular channel. What is the change in depth and in water-surface elevation produced by a gradual upward change in bottom elevation...

1. Assume you have been hired into the marketing department of a major consumer products manufacturer such as Nike. You are having lunch with some new colleagues in other departments finance,...

1. To gain insight into communication situations regarding the fact that they should be understood by examining the relationship between the parts and the whole, and to provide an understanding that...

2. Using a communication conflict you have been involved in, or a problem or phenomenon that you are familiar with, provide answers for a)d). a) Find the critical elements that existed (exist) as you...

5. What is meant by the statement, when we attribute a different meaning to a situation, the situation will consequentially change for us?