Solve the given problem Toyota Camry: Breaking distance on a wet surface is normally distributed with a mean of 149 ft. and a standard deviation of 5.28 ft. 1. If 90 Toyota Camries are randomly selected, about how many of those vehicles have a breaking distance less than 138 ft or more than 162? 2. Find the probability that the randomly picked Toyota Camry will have a breaking distance: a) between 140 and 149 feet, b) more than 160 feet,
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!
Solve the given problem
Toyota Camry: Breaking distance on a wet surface is
1. If 90 Toyota Camries are randomly selected, about how many of those vehicles
have a breaking distance less than 138 ft or more than 162?
2. Find the probability that the randomly picked Toyota Camry will have a breaking distance:
a) between 140 and 149 feet,
b) more than 160 feet,
c) less than 145 feet.
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