which of the following statements best explains how the membranes in winter wheat are able to remain fluid in extremely cold tem
1 answer:
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Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.
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- The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given as:
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- 56074 patients, thus
- Sample of 40, thus,
- 235 left against medical advice, thus,
.
The probability that none left against medical advice is P(X = 0), so:
The probability is 0.845 = 84.5%.
A similar problem is given at brainly.com/question/24008577
Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
<h3>Central Limit Theorem</h3>The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213