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Answer:
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Step-by-step explanation:
situation. If a random sample of 25 people are selected from such a population, what is the
probability that at least two will be displeased?
A) 0.045
B) 0.311
C) 0.373
D) 0.627
E) 0.689
The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
This problem can be solved using the binomialdistribution since we have a fixed number of trials (selecting 25 people) and each trial has two possible outcomes (displeased or not displeased).
Let p be the probability of an individual being displeased, which is given as 0.045 (or 4.5% as a decimal).
Then, the probability of an individual not being displeased is:
1 - p = 0.955.
Let X be the number of displeasedpeople in a random sample of 25.
We want to find the probability that at least two people are displeased, which can be expressed as:
P(X ≥ 2) = 1 - P(X < 2)
To calculate P(X < 2), we can use the binomial distribution formula:
where n is the samplesize (25), k is the number of displeasedpeople, and (n choose k) is the binomial coefficient which represents the number of ways to choose k items from a set of n items.
For k = 0, we have:
≈ 0.378
For k = 1, we have:
≈ 0.42
Therefore,
P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.798.
Finally, we can calculate,
P(X ≥ 2) = 1 - P(X < 2)
= 1 - 0.798
= 0.202.
Thus,
The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.
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Answer:
Step-by-step explanation:
The correct answer is (B).
Let X = the number of people that are displeased in a random sample of 25 people selected from a population of which 4.5% will be displeased regardless of the situation. Then X is a binomial random variable with n = 25 and p = 0.045.
P(X ≥ 2) = 1 – P(X ≤ 1) = 1 – binomcdf(n: 25, p: 0.045, x-value: 1) = 0.311.
P(X ≥ 2) = 1 – [P(X = 0) + P(X = 1)] = 1 – 0C25(0.045)0(1 – 0.045)25 – 25C1(0.045)1(1 – 0.045)24 = 0.311.
d = 10
A. 31.4 ft
B. 62.8 ft
C. 13.14 ft
D. 15.7 ft
PREVIOUS
The Circumference of the circle will be 31.4 feet.
Circumference of a circle is the perimeter of a circle.
i.e.
Circumference of a circle = 2πr
We have,
Diameter of circle= 10 feet
So,
Radius of circle feet
Now,
Using the above mentioned formula,
Circumference of a circle = 2πr
i.e.
Circumference of a circle = 2 * 3.14 * 5
So,
Circumference of a circle = 31.4 feet
Hence, we can say that the Circumference of the circle will be 31.4 feet.
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Answer:
Step-by-step explanation:
31.4 feet
The formula of a slope:
We have the points (-3, 9) and (-3, -5). Substitute:
Conclusion: The slope is not exist.
Given line is a horizontal line. Horizontal line has not a slope.
Answer:
Undefined Slope
Step-by-step explanation:
Well, we can first do (-5-9)÷[-3-(-3)].
We get -14/0.
We know anythingn divided by zero is impossible or undefined, so the answer to this is just undefined. If you can't enter it in your homework portal, then ask your teacher. Please don't report this, as I'm correct. Thank you!
y-axis
x-axis
x = p
x = -p
The equation for a parabola with directrix y = –p and focus (0, p)
The distance between vertex and directrix is P
Also the distance between vertex and focus is also P
Focus (0,p) so focus lies on y axis
Directrix line is paralled to focus point
So Directex crosses the x axis .
Hence line of symmetry lies is the y-axis.
The graph is attached below.
Answer:
If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is less than 10 minutes, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a left tailed test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.