1. A firm manufactures light bulb whose length of life follows a normal distribution with mean 90 hours and standard deviation of 2 hours. a) Suppose the electric light bulb is selected at random. What is the chance that the selected light bulb will burn 86 to 96 hours? b) What is the 1st decile life of the electric light bulbs manufactured by this firm? c) Suppose the firm selects a random sample of 20 electric light bulb for quality control purposes. What is the probability that the sample contains more than 4 bulbs that will burn for less than 85 hours only?

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