result of a durability test applied to tires produced in a factory producing automobile tires, the arithmetic mean of the test durations of Instiks is 242 s. and its standard deviation is 36 s. It is known to read with normal distribution. The duration of the test of a randomly selected tire among the tires produced and tested in this factory, a) 256 to 308 s. What are the chances of it happening? b) Since it is known that a total of 150 tires are tested, this test is 300 s. How many tires can last more than?
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!
As a result of a durability test applied to tires produced in a factory producing automobile tires, the arithmetic
a) 256 to 308 s. What are the chances of it happening?
b) Since it is known that a total of 150 tires are tested, this test is 300 s. How many tires can last more than?
Step by step
Solved in 2 steps with 1 images
