The range to an electric car is the amount kilometers the car can drive when the battery is full until it is empty. Anna owns an electric car which has a range that is normal distributed with expected 305 km, and standard deviation 23 km. Anna always starts a car ride with a full battery. a) i: Anna drives from point A to point C, a distance 301 km. What is the probability that she has enough range to drive the distance without charging during the trip? ii: What is the probability for Anne to run out of battery during between point A to point B her trip to point C? The distance between point A and point B is 281 km. iii: At another trip Anne is going to drive from point A to point D. She plans to stop and charge the battery at point B (after 281 km), and from there drive all the way to point D without stop. The distance from point B to point D is 276 km. What is the probability for that she can complete the trip as planned without running out of battery between Point A and point B, or point B and point D. Assume that the two distances are independent.

The range to an electric car is the amount kilometers the car can drive when the battery is full until it is empty. Anna owns an electric car which has a range that is normal distributed with expected 305 km, and standard deviation 23 km. Anna always starts a car ride with a full battery. a) i: Anna drives from point A to point C, a distance 301 km. What is the probability that she has enough range to drive the distance without charging during the trip? ii: What is the probability for Anne to run out of battery during between point A to point B her trip to point C? The distance between point A and point B is 281 km. iii: At another trip Anne is going to drive from point A to point D. She plans to stop and charge the battery at point B (after 281 km), and from there drive all the way to point D without stop. The distance from point B to point D is 276 km. What is the probability for that she can complete the trip as planned without running out of battery between Point A and point B, or point B and point D. Assume that the two distances are independent.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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