Data indicate that a particular genetic defect occurs in 1 of every 1,000 children. The records of a medical clinic show x = 54 children with the defect, from a total of 50,000 children that were examined. n USE SALT (a) If the 50,000 children were a random sample from the population of children represented by past records, what is the probability of observing a value of x equal to 54 or more? (Use the normal approximation. Round your answer to four decimal places.) (b) Would you say that the observation of x = 54 or more children with genetic defects represents a rare event? O The observation is rare because the probability is less than 0.05. O The observation is not rare because the probability is greater than 0.05.

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**Understanding Probability in Genetic Defects**

Data indicates that a particular genetic defect occurs in 1 out of every 1,000 children. Records from a medical clinic show that \( x = 54 \) children have the defect, from a total of 50,000 children examined.

**(a)** If the 50,000 children were a random sample from the population of children represented by past records, what is the probability of observing a value of \( x \) equal to 54 or more? (Use the normal approximation. Round your answer to four decimal places.)

[Input box for the answer]

**(b)** Would you say that the observation of \( x = 54 \) or more children with genetic defects represents a rare event?
- ○ The observation is rare because the probability is less than 0.05.
- ○ The observation is not rare because the probability is greater than 0.05.
Transcribed Image Text:**Understanding Probability in Genetic Defects** Data indicates that a particular genetic defect occurs in 1 out of every 1,000 children. Records from a medical clinic show that \( x = 54 \) children have the defect, from a total of 50,000 children examined. **(a)** If the 50,000 children were a random sample from the population of children represented by past records, what is the probability of observing a value of \( x \) equal to 54 or more? (Use the normal approximation. Round your answer to four decimal places.) [Input box for the answer] **(b)** Would you say that the observation of \( x = 54 \) or more children with genetic defects represents a rare event? - ○ The observation is rare because the probability is less than 0.05. - ○ The observation is not rare because the probability is greater than 0.05.
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