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A clothing company makes 1000 shirts using the same process. The company inspects a sample of 200 shirts. There are 7 shirts out of the sample that have flaws.
What is the probability that a randomly selected shirt has flaws?

A clothing company makes $1000$ shirts using the same process. The company inspects a sample of $200$ shirts. There are $7$ shirts out of the sample that have flaws. $\newline$ What is the probability that a randomly selected shirt has flaws?

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Probability of independent and dependent events

Full solution

Q. A clothing company makes

1000

shirts using the same process. The company inspects a sample of

200

shirts. There are

7

shirts out of the sample that have flaws.

\newline

What is the probability that a randomly selected shirt has flaws?

Calculate Probability: Total number of shirts: $1000$ Sample size: $200$ Number of flawed shirts in sample: $7$ Calculate the probability of a shirt having flaws based on the sample.
Calculate Probability Formula: Probability ( $P$ ) = Number of flawed shirts in sample / Sample size $\newline$ $P = \frac{7}{200}$
Perform Division: Perform the division to find the probability. $P = 0.035$

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