What is an example of an Apostrophe in the poem Ode to thanks? This is worth 61 points, and will mark brainliest for the first c
2 answers:
You might be interested in
Answer:
<u><em>a) The probability that exactly 4 flights are on time is equal to 0.0313</em></u>
<u><em></em></u>
<u><em>b) The probability that at most 3 flights are on time is equal to 0.0293</em></u>
<u><em></em></u>
<u><em>c) The probability that at least 8 flights are on time is equal to 0.00586</em></u>
Step-by-step explanation:
The question posted is incomplete. This is the complete question:
<em>United Airlines' flights from Denver to Seattle are on time 50 % of the time. Suppose 9 flights are randomly selected, and the number on-time flights is recorded. Round answers to 3 significant figures. </em>
<em>a) The probability that exactly 4 flights are on time is = </em>
<em>b) The probability that at most 3 flights are on time is = </em>
<em>c)The probability that at least 8 flights are on time is =</em>
<h2>Solution to the problem</h2><u><em>a) Probability that exactly 4 flights are on time</em></u>
Since there are two possible outcomes, being on time or not being on time, whose probabilities do not change, this is a binomial experiment.
The probability of success (being on time) is p = 0.5.
The probability of fail (note being on time) is q = 1 -p = 1 - 0.5 = 0.5.
You need to find the probability of exactly 4 success on 9 trials: X = 4, n = 9.
The general equation to find the probability of x success in n trials is:
Where is the number of different combinations of x success in n trials.
Hence,
<em><u>b) Probability that at most 3 flights are on time</u></em>
The probability that at most 3 flights are on time is equal to the probabiity that exactly 0 or exactly 1 or exactly 2 or exactly 3 are on time:
. . . (the probability that all are not on time)
<em><u>c) Probability that at least 8 flights are on time </u></em>
That at least 8 flights are on time is the same that at most 1 is not on time.
That is, 1 or 0 flights are not on time.
Then, it is easier to change the successful event to not being on time, so I will change the name of the variable to Y.
Answer:
Step-by-step explanation:
1) Data given and notation
n=100 represent the random sample taken
X=18 represent the ounce cups of coffee that were underfilled
estimated proportion of ounce cups of coffee that were underfilled
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion it's higher than 0.1 or 10%:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level assumed for this case is . The next step would be calculate the p value for this test.
Since is a one right tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance thetrue proportion is not significanlty higher than 0.1 or 10% .