Question

77. A subway train on the 4 line arrives every sight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive.The time follows a uniform distribution. 1. Define the random variable. X_ 2. Х~ 3. Graph the probability distribution 7. 8. Find the probability that the commuter waits less than one minute. Find the probability that the commuter waits between three and four minutes. 9. Siorty percent of commuters wait more than how long for the train? State this in a probability question, similarly to parts g and h, draw the picture, and find the probability Use the following information to answer the next three exercises. The AirTrain from the terminal to the rental-car and long-term parking center is supposed to srrive every eight minutes. The walting times for the train are known to follow a uniform distribution. 79. What is the average waiting time (In minutes)? (multiple choice) a zero b. two c. three d. four 80. Find the 30th percentile for the waiting times (in minutes). (multiple choice) a. two b. 2.4 c. 2.75 d. three 81. The probability of waiting more than seven minutes given a person has walted more than four minutes is? (multiple choice) a. 0.125 b. 0.25 c 0.5 d. 0.75 6.1 The Standard Normal Distribution Use the following information to answer the next two exercises: The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days 60. What is the median recovery time? (multiple choice) a. 2.7

Please

Answer 1

77.

1)

X = length of time a commuter must wait for the train to arrive,in minutes.

2)

X ~ U(0,8)

Graph す pDbabilit -distribution P(x) a. o therusise 5 ) a t b 2 H4 minutes

2 b- a 1 2 2 1 2 12 3094 minudtex 2Pxl Probability th Commutenwaits ess min 8)

3 Average-wainting time-EM vea9 Ime : 8+o 2 厶minutes option (dJ