Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.
<h3>What is the
hypergeometric distribution formula?</h3>
The formula is:


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.
In this problem:
- There is a total of 18 people, hence
.
- 2 people will be chosen, hence
.
- David and Valerie corresponds to 2 people, hence
.
The probability that both get picked is P(X = 2), hence:


0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392
Answer:
D) The z-statistics would be different.
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the sample mean
- ME is the margin of error from the mean
An margin of error (ME) from the mean can be calculated using the formula
ME=
where
- z is the corresponding z-statistic in the given confidence level
- s is the population standard deviation
If 95% and 98% confidence intervals were calculated from the same sample data, then M, s and N are same.
is called standard error. Since s and N are same the standard errors would also be same.
But, two tailed z-statistic for 95% confidence level is ≈1.96 where for 98% it is ≈2.33
170.
Area = b x h
17 x 10 = 170
Answer:
-1/2
Step-by-step explanation: