The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 371. Assume this mileage follows the normal distribution with a standard deviation of 44 miles. Complete parts a through d below. a. What is the probability that, before the low-fuel light comes on, the car will travel less than 404 miles on the next tank of gas? 0.7734 (Round to four decimal places as needed.) b. What is the probability that, before the low-fuel light comes on, the car will travel more than 317 miles on the next tank of gas? es (Round to four decimal places as needed.) otic
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
