Zia intends to buy a brand-new phone with a battery life of more than six hours for her mother. Most of her friends recommend the Iclick phone which is known to have a normally distributed battery life (in minutes) with a mean of 300 minutes and a standard deviation of 25 minutes. If she will buy one Iclick phone, what is the probability that its battery life is more than six hours? Should she proceed in buying a phone from this brand?
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!
Step by step
Solved in 2 steps with 4 images
