A light bulb manufacturer claims that only 7% of all its light bulbs are defective. The facilities manager at a large office building randomly samples 150 light bulbs from his supply and records whether each bulb is defective.

a. Is the variable numerical or categorical?
b. Check the conditions of the Central Limit Theorem.
c. Find the shape, center, and spread of the sampling distribution. Round the spread to 4 decimal places.
d. Find the probability that more than 8% of the sample of 150 light bulbs will be defective. Give your answer as a percent rounded to the nearest hundredth and show calculator inputs.

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