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Problem: A company produces light bulbs with an average product life of 1000 hours and a standard deviation of 100 hours. Assume a normal distribution and answer the following:
Required:
Question 1: What percentage of light bulbs produced are expected to last longer than 1000 hours, i.e. P(x > 1000)? Express your answer in decimals.
Question 2: What percentage of light bulbs produced are expected to last shorter than 800 hours, i.e. P(x < 800)? Express your answer in decimals.
Question 3: What percentage of light bulbs produced are expected to last between 700 and 800 hours, i.e. P(700 < x < 800)? Express your answer in decimals.
Question 4: What percentage of light bulbs produced are expected to last between 1200 and 1300 hours, i.e. P(1200 < x < 1300)? Express your answer in decimals.
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