A quiz has five true or false questions. How many possible ways could the five questions be answered?
1 answer:
Answer:
The total number of ways to answer = 32
Step-by-step explanation:
A quiz has five questions that can be answered as true or false.
Each question can be answered in two ways.
Lets take each question one by one.
The first question can be answered as true or false that is two ways.
Similarly each question answered in 2 ways.
To get the total number of ways, we have to multiply the number of ways for each question.
Hence the total number of questions =
= 32
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Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
<h3>What does Chebyshev’s Theorem state?</h3>When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
More can be learned about Chebyshev's Theorem at brainly.com/question/25303620