Question Solved1 Answer Statistically, about 2% of certain brand of light bulbs is defective. (1). What is the probability that there are exactly two defective light bulbs in a box containing 50 light bulbs? (2). Using Poisson approximation to estimate the probability that there are exactly two defective light bulbs in the box.

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Transcribed Image Text: Statistically, about 2% of certain brand of light bulbs is defective. (1). What is the probability that there are exactly two defective light bulbs in a box containing 50 light bulbs? (2). Using Poisson approximation to estimate the probability that there are exactly two defective light bulbs in the box.
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Transcribed Image Text: Statistically, about 2% of certain brand of light bulbs is defective. (1). What is the probability that there are exactly two defective light bulbs in a box containing 50 light bulbs? (2). Using Poisson approximation to estimate the probability that there are exactly two defective light bulbs in the box.
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Solution,Given that,{:[p=2%=0.02],[q=1-p=1-0.02=0.98],[n=50]:}by using bionomial distribution formula,{:[=>P(x=2)],[=50c_(2)(0.02)^(2)(0.98)^(50-2)],[=0.1858],[P(x=2)=0.1858]:}by poission ... See the full answer