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Anuta_ua [19.1K]
3 years ago
10

A multiple choice test has five questions each with five choices for the answer. what is the probability of getting all 5 right

Mathematics
2 answers:
Slav-nsk [51]3 years ago
5 0
5 times 5 means there are 25 total choices

since there is a total of five questions and each question has one correct answer 5out of 25 are correct

so you have a 5/25 chance which simplifies to 1/5th probability
blsea [12.9K]3 years ago
3 0
The probability of getting all 5 right would be 1/<span>3125

This is because each question has one choice. Making it a 1/5 chance for each question. 

Now if you combine if you add the rest you will have to calculate.

You would do the calculation by multiple the chance for a correct answer for each question together.

1/5 x 1/5 x 1/5 x 1/5 x 1/5 = 1/3125

I hope this helped!</span>
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3 years ago
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
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b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

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