Determine the Required Probability by Using the Poisson Approximation to the Binomial

question 122

Multiple Choice

Determine the required probability by using the Poisson approximation to the binomial distribution. Round to threedecimal places.
-The probability that a car will have a flat tire while driving through a certain tunnel is 0.00004. Use the Poisson approximation to the binomial distribution to find the probability that among 16,000
Cars passing through this tunnel, exactly two will have a flat tire.

• A)0.151
• B)0.173
• C)0.108
• D)0.130

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Definitions:

Arena Chapel

Also known as the Scrovegni Chapel, a small church in Padua, Italy, famous for its extensive fresco cycle by Giotto, a masterpiece of early Renaissance art.

Italian City

A term referring to any of the cities in Italy, often noted for their rich history, culture, and contributions to art, architecture, and cuisine.

Padua

A city in northern Italy, known for its historic university, beautiful architecture, and art.

Loosely Curved Folds

Commonly refers to a stylistic feature in art and textiles where fabric or other materials display soft, flowing, and gently bending lines, suggesting motion or a natural, relaxed demeanor.