Mean & Standard Deviation of the Binomial Distribution

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Mathematics
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9th - 12th Grade
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a probability distribution primarily used for?
To determine the exact outcome of an event
To calculate the average of a dataset
To find the probability of different outcomes of a random variable
To measure the spread of data
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the mean of a binomial distribution calculated?
Square root of variance
Probability of success minus probability of failure
Number of trials times probability of success
Sum of all probabilities
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the standard deviation tell us about a dataset?
The average value of the dataset
The total number of data points
How spread out the values are from the mean
The most frequent value in the dataset
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a normal distribution, what percentage of data falls within one standard deviation of the mean?
68%
99.7%
50%
95%
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is considered an outlier in a dataset?
A data point that is the smallest in the dataset
A data point that is the largest in the dataset
A data point that falls outside two standard deviations from the mean
A data point that is exactly at the mean
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a student guesses on a 10-question true/false test, what is the expected number of correct answers?
3
5
7
10
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a binomial distribution, what is the formula for variance?
n * p * q
n / p / q
n + p + q
n - p - q
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