SHOW ALL WORK FOR THE QUESTIONS ASKED! WHEN IT SAYS CREATE A CHART, DO CREATE A
ID: 357772 • Letter: S
Question
SHOW ALL WORK FOR THE QUESTIONS ASKED! WHEN IT SAYS CREATE A CHART, DO CREATE A CHART! AND WHEN IT SAYS TO EXPLAIN AN ANSWER, EXPLAIN THAT ANSWER! ANSWER ALL THE QUESTIONS ASKED IN GREAT DETAIL!
You're purchased your first electric car and the battery charge is normally distributed and expected to last for 350 miles with a standard deviation of 25 miles before needing to be recharged.
1. You're planning a trip and on one leg, the distance between recharging stations is 400 miles. What is the probability that you'll make it to the station 400 miles away?
2. You're selecting an alternate route and now the recharging station is located 300 miles away. What is the probability that you'll make it to the station 300 miles away?
Explanation / Answer
Given are following data:
Mean distancethe charged battery runs = m = 350
Standard deviation of the distance charged battery runs = Sd = 25
Answer to question 1 :
350 + 25.Z1 = 400
Or, 25.Z1 = 50
Or, Z1 = 2
Corresponding probability as derived from standard normal distribution table for Z= 2 will be 0.97725
PROBABILITY THAT ONE WILL MAKE IT TO THE STATION 400 MILES AWAY = 0.97725
Answer to question 2 :
350 + 25.Z2 = 300
Or, 25.Z1 = - 50
Or, Z1 = - 2
Corresponding probability as derived from standard normal distribution table for Z= 2 will be 0.02275
PROBABILITY THAT ONE WILL MAKE IT TO THE STATION 300 MILES AWAY = 0.02275
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