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 o male kittens in the litter" has a Binomial distribution with n = 8 and p = 0.47. Suppose the owner can sell a male kitten for $23 and a female kitten for $50. Note: • X represents male kittens, which can be sold for $23 each. • 8-X represents the number of female kittens, which can be sold for $50 each Then 23X + 50(8-X) = 400 - (50-23)X represents for how much the entire litter can be sold. Determine the mean litter value, E( 400 - (50-23)X) =

MATLAB: An Introduction with Applications
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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.
Suppose the owner can sell a male kitten for $23 and a female kitten for $50.
Note:
X represents male kittens, which can be sold for $23 each.
• 8-X represents the number of female kittens, which can be sold for $50 each
Then 23X + 50(8-X) = 400 - (50-23)X represents for how much the entire litter can be sold.
Determine the mean litter value, E( 400 - (50-23)X ) =
Do not round, use 2 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. Suppose the owner can sell a male kitten for $23 and a female kitten for $50. Note: X represents male kittens, which can be sold for $23 each. • 8-X represents the number of female kittens, which can be sold for $50 each Then 23X + 50(8-X) = 400 - (50-23)X represents for how much the entire litter can be sold. Determine the mean litter value, E( 400 - (50-23)X ) = Do not round, use 2 decimal places.
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