The playing life of a Sunshine radio is normally distributed with mean m= 600 hours and standard deviation s = 100 hours. What is the probability that a radio selected at random will last from 600 to 700 hours? Find the area under the standard normal curve to the left of z = –1.00 Find the area to the left of z = 1.18
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!
- The playing life of a Sunshine radio is
normally distributed with mean m= 600 hours and standard deviation s = 100 hours. What is the probability that a radio selected at random will last from 600 to 700 hours? - Find the area under the standard normal curve to the left of z = –1.00
- Find the area to the left of z = 1.18
- Find the area between z = 1.00 and z = 2.70.
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