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20 question project
20 question project
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1
What is the probability of a value being within one standard deviation of the mean in a normal distribution?
About 95%
About 50%
About 99%
About 68%
2
How can a binomial distribution be approximated by a normal distribution?
if np and nq are both greater than 5, a normal approximation can be used.
A binomial distribution can never be approximated by a normal distribution
If np and nq are both equal to zero.
When the number of trials is less than 5.
3
What is the Central Limit Theorem?
Every dataset must be normally distributed to be valid.
Larger numbers always have higher probabilities in a dataset.
The mean of a dataset is always greater than the median.
As sample size increases, the sampling distribution of the mean approach...
4
What is the formula for a Z-score?
Z = \frac{\sigma - x}{\mu}
Z = \frac{x - \sigma}{\mu}
Z = \frac{x + \mu}{\sigma}
Z = \frac{x - \mu}{\sigma}
5
State the Multiplication Rule in probability.
P(A ∩ B) = P(A) + P(B) - P(A ∩ B).
For dependent events: P(A ∩ B) = P(A) ÷ P(B).
For independent events: P(A ∩ B) = P(A) × P(B).
P(A ∩ B) = P(A) - P(B).
6
What are the three measures of central tendency?
Mean, variance, and probability.c) Range, mode, and frequency.
Mean, variance, and probability.
Standard deviation, sum, and difference.
Mean, median, and mode.
7
What is statistics?
The study of shapes and their properties.
The science of collecting, analyzing, and interpreting data.
A way to count objects in nature.
The process of making random guesses about numbers.
8
Write the formula for binomial probability.
P(x) = (p + n - x) / x
P(x) = \binom{n}{x} p^x (1-p)^{n-x}
P(x) = n! / (x! (n-x)!)
P(x) = \binom{x}{n} p^n (1-x)^{p-n}
9
What is the probability of drawing a red card from a standard deck of 52 cards?
1/2 or 50%
3/4 or 75%
1/3 or 33%
1/4 or 25%
10
What is the median of {3, 7, 9, 10, 12}?
10
3
9
7
11
State the Addition Rule in probability.
P(A ∪ B) = P(A) ÷ P(B)
P(A ∪ B) = P(A) × P(B)
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = P(A) - P(B) + P(C)
12
What is the probability of flipping heads on a fair coin?
1/4 or 25%
1/3 or 33%
1/2 or 50%
0%
13
What is a probability distribution?
The difference between the highest and lowest values in a dataset.
The sum of all probabilities in an experiment.
A set of numbers arranged in order from least to greatest.
A table or formula that shows the likelihood of all possible outcomes of...
14
What is a normal distribution?
A distribution with no pattern or symmetry.
A bell-shaped curve where most data is near the mean.
A histogram with only positive values.
A straight-line graph of increasing probabilities.
15
How do you calculate variance?
Add all numbers together and divide by two.
Multiply all the numbers in the dataset together.
Find the largest number and subtract the smallest.
Find the mean, subtract it from each value, square the differences, sum ...
16
What are the characteristics of a binomial distribution?
Fixed trials,two possible outcomes, constant probability,independent trials
Any number of trials, infinite outcomes, changing probabilities.
Only applies to dice rolls and coin flips.
Requires at least 100 trials to be valid.
17
If a dataset has a mean of 50 and a standard deviation of 5, what is the Z-score for a value of 60?
2
10
1.5
-2
18
What is the difference between descriptive and inferential statistics?
Descriptive statistics make predictions, while inferential statistics org..
Descriptive statistics summarize data, while inferential statistics make...
Inferential statistics only apply to experiments, while descriptive stat...
Descriptive statistics use only numbers, while inferential statistics us...
19
What is the mean of the dataset {4, 8, 12, 16}?
16
8
10
12
20
If a fair coin is flipped 3 times, what is the probability of getting exactly 2 heads?
1/4 or 0.25
1/8 or 0.125
1/2 or 0.5
3/8 or 0.375
