You are eating a plateful of fried Shishito peppers. Most Shishito peppers are not very spicy, but about 1 in 10 are very spicy (for this question, assume it is exactly 1 in 10). You have a plate of 15 Shishito peppers. What is the probability that you make it through the plate without eating any spicy peppers? In addition to the probability statement, equation, and numerical answer, write the R function call you use. (round answer to 4 decimals) What is the probability that you make it through the plate eating at most 1 spicy pepper? (round to 4 decimals)   3. Let’s say that you have an infinite supply of peppers instead of just a plateful. Your friend is gleefully counting how many peppers you eat until you get a spicy one. Call this number Y . What distribution does Y follow?

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You are eating a plateful of fried Shishito peppers. Most Shishito peppers are not very spicy, but about 1 in 10 are very spicy (for this question, assume it is exactly 1 in 10). You have a plate of 15 Shishito peppers.

  1. What is the probability that you make it through the plate without eating any spicy peppers? In addition to the probability statement, equation, and numerical answer, write the R function call you use. (round answer to 4 decimals)

  2. What is the probability that you make it through the plate eating at most 1 spicy pepper? (round to 4 decimals)

 

3. Let’s say that you have an infinite supply of peppers instead of just a plateful. Your friend is gleefully counting how many peppers you eat until you get a spicy one. Call this number Y . What distribution does Y follow?

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