Assume that the duration of human pregnancies can be described by a Normal model with mean 265 days and standard deviation 13 days. a) What percentage of pregnancies should last between 271 and 279 days? b) At least how many days should the longest 15% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 73 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What's the probability that the mean duration of these patients' pregnancies will be less than 259 days? a) The percentage of pregnancies that should last between 271 and 279 days is%. (Round to two decimal places as needed.) b) The longest 15% of all pregnancies should last at least days. (Round to one decimal place as needed) c) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. A Normal model with mean and standard deviation (Type integers or decimals rounded to two decimal places as needed.) O B. A Binomial model with trials and a probability of success of (Type integers or decimals rounded to two decimal places as needed.) OC. There is no model that fits this distribution. d) The probability that the mean duration of these patients' pregnancies will be less than 259 days is .

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.