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. (This problem continues on the next page) Let X be the number of very spicy Shishito peppers on your plate. What is the distribution of X Write the pmf f(x) and describe its parameters What key assumptions about the peppers are needed to determine this distribution? What is the expected number of very spicy Shishito peppers that you will eat if you finish your plate? Interpret this value in a sentence or two.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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. (This problem continues on the next page)

Let X be the number of very spicy Shishito peppers on your plate.

  1. What is the distribution of X

  2. Write the pmf f(x) and describe its parameters

  3. What key assumptions about the peppers are needed to determine this distribution?

  4. What is the expected number of very spicy Shishito peppers that you will eat if you finish your plate? Interpret this value in a sentence or two. 

     
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