Suppose a tire manufacturer rejects 3% of their tires produced because they have some sort of defect.  You plan to take a simple random sample of six tires from a large warehouse of these tires ready for inspection: 1.  What is the probability that none of these six are defective?  Show how you are finding your answer on paper.  Keep at least 3 decimal places. 2.  What is the probability that exactly one of these six are defective?  Show how you are finding your answer on paper. Keep at least 3 decimal places. 3.  What is the probability that fewer than 2 of these six are defective?  Show how you are finding your answer on paper. Keep at least 3 decimal places.

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Suppose a tire manufacturer rejects 3% of their tires produced because they have some sort of defect.  You plan to take a simple random sample of six tires from a large warehouse of these tires ready for inspection:

1.  What is the probability that none of these six are defective?  Show how you are finding your answer on paper.  Keep at least 3 decimal places.

2.  What is the probability that exactly one of these six are defective?  Show how you are finding your answer on paper. Keep at least 3 decimal places.

3.  What is the probability that fewer than 2 of these six are defective?  Show how you are finding your answer on paper. Keep at least 3 decimal places.

Expert Solution
Step 1 Introduction

Given: 

A tire manufacturer rejects 3% of their tires produced because they have some sort of defect. 

A simple random sample of six tires from a large warehouse is taken which were ready for the inspection. 

 

The above distribution follows a binomial distribution

Let "X" be the random variable that represents the number of defects

 

 

 

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