Select the correct answer. Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a directio
1 answer:
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Answer:
And rounded up we have that n=385
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as an estimator for p . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
.
<u>Step-by-step explanation:</u>
Here we have , Based on a survey, that 46% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three on them are comfortable with delivery by drones. We need to find the values of n,x,p,and q .Let's find out:
According to question , 46% of consumers are comfortable having drones deliver their purchases , So , Probability of success :
⇒
And , probability of failure :
⇒
⇒
Now , n = Number of people randomly selected = 5
x = Number of people exactly comfortable = 3
Therefore , .