According to a study, the length of pregnancy for a randomly selected female has unknown distribution with a mean of 274 days and a standard deviation of 14.2 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 31. 1. Describe the probability distribution of X and state its parameters u and ơ: X-Select an answer (µ = O = and find the probability that the length of pregnancy for a randomly selected female is more than 309 days. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of X and state its parameters µy and og: (Round the answers to 1 decimal place) X - Select an answer ♥ (µx ,ox = and find the probability that the average length of pregnancy for a sample of 31 randomly selected females is less than 267 days. (Round the answer to 4 decimal places)

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According to a study, the length of pregnancy for a randomly selected female has unknown distribution
with a mean of 274 days and a standard deviation of 14.2 days. Let X be the length of pregnancy for a
randomly selected female and let X be the average length of pregnancy for a random sample of size 31.
1. Describe the probability distribution of X and state its parameters u and o:
X- Select an answer ♥(µ =
and find the probability that the length of pregnancy for a randomly selected female is more than 309
days.
(Round the answer to 4 decimal places)
2. Use the Central Limit Theorem
Select an answer
to describe the probability distribution of X and state its parameters uy and oy: (Round the answers to
1 decimal place)
X - Select an answer ♥ (µx
and find the probability that the average length of pregnancy for a sample of 31 randomly selected females
is less than 267 days.
(Round the answer to 4 decimal places)
Transcribed Image Text:According to a study, the length of pregnancy for a randomly selected female has unknown distribution with a mean of 274 days and a standard deviation of 14.2 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 31. 1. Describe the probability distribution of X and state its parameters u and o: X- Select an answer ♥(µ = and find the probability that the length of pregnancy for a randomly selected female is more than 309 days. (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem Select an answer to describe the probability distribution of X and state its parameters uy and oy: (Round the answers to 1 decimal place) X - Select an answer ♥ (µx and find the probability that the average length of pregnancy for a sample of 31 randomly selected females is less than 267 days. (Round the answer to 4 decimal places)
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