Using the binomial distribution, it is found that there is a 0.9513 = 95.13% probability that less than three of these mortgages are delinquent.
For each mortgage, there are only two possible outcomes, either they are delinquent or they are not. The probability of a mortgage being delinquent is independent of any other mortgage, hence the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 11% of mortgages were delinquent last year, hence p = 0.11.
- A random sample of eight mortgages was selected, hence n = 8.
The probability that less than three of these mortgages are delinquent is:
In which:
Then:
0.9513 = 95.13% probability that less than three of these mortgages are delinquent.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer: Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.
The only one that is not a characteristic of the parasympathetic division of the ANS is; Option D: It has short postganglionic fibers.
<h3>What is the parasympathetic division?</h3>
Parasympathetic nervous system, division of the nervous system that primarily modulates visceral organs such as glands. The parasympathetic system is one of two antagonistic sets of nerves of the autonomic nervous system; the other set comprises the sympathetic nervous system.
The parasympathetic nervous system is responsible for the body's rest and digestion response when the body is relaxed, resting, or feeding. It basically undoes the work of sympathetic division after a stressful situation. The parasympathetic nervous system decreases respiration and heart rate and increases digestion.
Looking at the options, the only one that is not a characteristic of the parasympathetic division of the ANS is;
Option D: It has short postganglionic fibers.
The missing options are;
(a) Its effects are local.
(b) The terminal ganglia are very close to or within their target organs.
(c) It originates in the craniosacral regions of the CNS.
(d) It has short preganglionic fibers.
(e) It has short postganglionic fibers.
Read more about parasympathetic division at; brainly.com/question/15190731
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Answer:
where are the options without options how do i answer sorry