Normal Curve Standard normal curve: 0 and a 1 A normal curve must be standardized in order to use the z-table. To convert a cutoff value to a standard score use the z x- score formula. z Note: The z table in the text allows for cumulative areas to be determined directly. The picture at the top of the table reminds you that the table is only for areas to the left of the cutoff z. Directions: For each of the following questions, sketch a normal curve and shade the area in the question. LABEL THE SKETCH. Show all work and provide a statement that clearly conveys the question being addrèssed and the answer. A light bulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the 'life' of a light bulb is normally distributed. Determine the probability that a randomly selected light bulb will last between 1000 and 1250 hours. a. light bulb will last móre than 1250 hours. b. Determine the probability that a randomly selected

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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!