A manufacturer has a large stockpile of model X mobile phones and of model Y mobile phones at its warehouse. The time it takes for a mobile phone to increase its battery charge from zero to fully charged is called its charge-time. All the phones at the warehouse have zero charge. The charge-time for model X phones is normally distributed with a mean of 60 minutes and a standard deviation of 3 minutes. a. Find the probability that a model X phone that has been randomly selected from the stockpile has a charge-time greater than 62 minutes, correct to four decimal places.
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 1 images
