T shirts from a company are rated good quality or bad quality. a box containing

Question

T shirts from a company are rated good quality or bad quality. a box containing 50 random t shirts from a company with a bad quality rate of 3% is inspected. the random variable x represents the number of bad quality in box. Is this binomial? Explain T shirts from a company are rated good quality or bad quality. a box containing 50 random t shirts from a company with a bad quality rate of 3% is inspected. the random variable x represents the number of bad quality in box. Is this binomial? Explain T shirts from a company are rated good quality or bad quality. a box containing 50 random t shirts from a company with a bad quality rate of 3% is inspected. the random variable x represents the number of bad quality in box. Is this binomial? Explain

Explanation / Answer

Yes, the number of bad quality t shirts in the box will follow a binomial distribution because:

--> There are finite number of t shirts.

--> T shirts quality are independent of each other.

--> There are only two possible outcomes: Good quality or bad quality

--> The probability of getting a bad quality t shirt remains same i.e. 0.03.

Hence,

This satisfies all the necessary criteria to be a binomial distribution.

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