WebAssign Homework X Chapter 5 Section 6.2 - Horn X Chapter 5 Section 4.2 - Horn X t Course Hero o 6 C' 0 webassignnet ) . ,_i . . , i, ,4 . ' , . . . *1.) Apps 6 Web Slice Gallery E imported From iE e Kronos WORKFOR... 6 Renaissance Place 6 Studentlnformati... Reading List 2. [-15 Points] DETAILS ASWSBE13 6.E.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following exponential probability density function. f(x) = e'x forx z 0 (a) Write the formula for P(x 5 x0). (b) Find P(x 5 2). (Round your answer to four decimal places.) (c) Find P(x 2 3). (Round your answer to four decimal places.) (d) Find P(x 5 5). (Round your answer to four decimal places.) (e) Find P(2 s X s 5). (Round your answer to four decimal places.) Need Help? 3. [1/4 Points] DETAILS PREVIOUS ANSWERS ASWSBE13 6.E.035.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. i i i i (a) Sketch this exponential probability distribution. i x) x) x) WebAssign Homework X Chapter 5 Section 6.2 - Homev x " Chapter 5 Section 4.2 - Homev x - Course Hero X webassign.net/web/Student/Assignment-Responses/submit?dep=26765479&tags=autosave#Q2 Apps Web Slice Gallery Imported From IE Kronos WORKFOR... Renaissance Place Student Informati... 3. [1/4 Points] DETAILS Reading List PREVIOUS ANSWERS ASWSBE13 6.E.035.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. (a) Sketch this exponential probability distribution. f(x) f(x) 0.15 f(x) 0.15 0.15 0.10 0.10 0.10 0.05 0.05 0.05 5 10 X 15 20 25 30 5 10 X 15 20 25 30 O 5 10 X 15 20 25 30 f(x) 0.15 0.10 0.056 WebAssign Homework X Chapter 5 Section 6.2 - Horn X Chapter 5 Section 4.2 - Horn X t Course Hero Apps 4. [-15 Points] CC: webassignnet i . ,_i . . , i, ,4 . ' , 6 Web Slice Gallery E imported From lE e Kronos WORKFOR... 6 Renaissance Place 6 Studentlnformati... Reading List (b) (C) (d) What is the probability that the arrival time between vehicles is 12 seconds or less? (Round your answer to four decimal places.) What is the probability that the arrival time between vehicles is 4 seconds or less? (Round your answer to four decimal places.) What is the probability of 32 or more seconds between vehicle arrivals? (Round your answer to four decimal places.) Need Help? ASK YOUR TEACHER PRACTICE ANOTHER The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution. (a) (b) (d) (e) What is the probability you will make it through security in exactly 29 minutes? (Round your answer to three decimal places.) What is the probability it will take less than 15 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) What is the probability it will take more than 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) What is the probability it will take between 15 and 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) It is 8:00 am (a peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. If it takes 11 minutes from the time you clear security until you reach your gate, what is the probability you will miss your ight? (Round your answer to three decimal places.)