Via ultrasound, it is determined that a cat will have a litter containing 8 kittens. The sexes of the kittens are still unknown. Assume each kitten born has a 53% chance of being female. The random variable X = "the number of male kittens in the litter" has a Binomial distribution with n = 8 and p = 0.47. What is the chance over half the litter is female, implying that there has to be under 4 male kittens in the litter? P( X < 4 ) = Express your answer as a proportion rounded to 4 decimal places.

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Via ultrasound, it is determined that a cat will have a litter containing 8 kittens. The sexes of the kittens are still
unknown. Assume each kitten born has a 53% chance of being female. The random variable X = "the number of
male kittens in the litter" has a Binomial distribution with n = 8 and p = 0.47.
What is the chance over half the litter is female, implying that there has to be under 4 male kittens in the litter? P(
X < 4) =
Express your answer as a proportion rounded to 4 decimal places.
Transcribed Image Text:Via ultrasound, it is determined that a cat will have a litter containing 8 kittens. The sexes of the kittens are still unknown. Assume each kitten born has a 53% chance of being female. The random variable X = "the number of male kittens in the litter" has a Binomial distribution with n = 8 and p = 0.47. What is the chance over half the litter is female, implying that there has to be under 4 male kittens in the litter? P( X < 4) = Express your answer as a proportion rounded to 4 decimal places.
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