The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable count the number not resulting in a defect. Assume the births are independent. Which distribution does X follow? Normal distribution with mean 0 and variance 1 binomial distribution with n = 5 and p = 32/33 binomial distribution with n = 5 and p = 1/33 Normal distribution with mean 5 and variance 1/33

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The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable \( X \) count the number not resulting in a defect. Assume the births are independent.

Which distribution does \( X \) follow?

- ○ Normal distribution with mean 0 and variance 1
- ○ Binomial distribution with \( n = 5 \) and \( p = 32/33 \)
- ○ Binomial distribution with \( n = 5 \) and \( p = 1/33 \)
- ○ Normal distribution with mean 5 and variance 1/33
Transcribed Image Text:The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable \( X \) count the number not resulting in a defect. Assume the births are independent. Which distribution does \( X \) follow? - ○ Normal distribution with mean 0 and variance 1 - ○ Binomial distribution with \( n = 5 \) and \( p = 32/33 \) - ○ Binomial distribution with \( n = 5 \) and \( p = 1/33 \) - ○ Normal distribution with mean 5 and variance 1/33
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