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Revise Probability & Statistics 1 Flashcards | StudBud
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Revise Probability & Statistics 1
Revise Probability & Statistics 1
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1
In statistics, what does a stem-and-leaf diagram represent?
Measures of central tendency
Frequency distribution
Probability distribution
Cumulative frequency graph
2
In a normal distribution, what is
P
(
X
>
x
1
)?
The probability that X is less than the mean
The probability that X is less than x1
The probability that X is greater than the mean
The probability that X is greater than x1
3
In probability theory, what is a permutation?
Arrangement of objects with repetition
Arrangement of objects in a line
Selection of objects with order
Selection of objects without order
4
When is the normal distribution used as an approximation to the binomial distribution?
When the sample size is small
When the sample size is large
When the probability of success is close to 0
When the probability of success is close to 1/2
5
In which practical situations is the geometric distribution a suitable model?
Number of trials until the last success
Number of trials until the first success
Number of successes in a continuous distribution
Number of successes in a fixed number of trials
6
How many different arrangements can be made with the letters of the word 'SUCCESS'?
5040
2520
1260
720
7
What is the purpose of selecting a suitable way of presenting raw statistical data?
To confuse the audience
To make data collection easier
To communicate information effectively
To create aesthetically pleasing graphs
8
What is the primary purpose of calculating the interquartile range?
To compare two datasets
To measure the spread of data
To identify outliers
To find the mean
9
When calculating conditional probabilities, what is the formula for P(A|B)?
A
D
C
B
10
What is the formula for calculating the expectation (mean) of a discrete random variable X?
C
D
A
B
11
Which measure of central tendency is not affected by extreme values?
Median
Range
Mean
Mode
12
What is the primary advantage of using a cumulative frequency graph?
Illustrates the running total of frequencies
Represents the mean clearly
Displays individual data points
Shows the spread of data
13
What is the correct formula for calculating the range of a dataset?
Mean + Median
Standard Deviation / Mean
Interquartile Range / 2
Maximum - Minimum
14
What does the condition "X~N(m, 2)" mean in a normal distribution?
X follows a binomial distribution
X is a continuous random variable
X is a discrete random variable
X is normally distributed with mean and variance 2
15
What is the continuity correction used for when approximating the binomial distribution with the normal distribution?
To make the distribution continuous
To adjust for the difference in variance
To correct for rounding errors
To account for the discreteness of the binomial distribution
16
How is the binomial distribution different from the geometric distribution?
Binomial is continuous, while geometric is discrete
BD deals no of success, while GD deals no of trials until 1st success
Binomial is based on combinations, while geometric is based on permutations
Binomial is symmetric, while geometric is skewed
17
When using a normal distribution table, what does the value represent?
Cumulative frequency of the data
Standard deviation of the data
Area under the curve to the left of the value
Median of the data
18
In a box-and-whisker plot, what does the whisker represent?
Median
Interquartile range
Outliers
Range
19
What does P(A∩B) represent in probability theory?
Probability of event A given event B
Probability of event A or B, but not both
Probability of event A and event B
Probability of event A or event B
20
When drawing a box-and-whisker plot, what does the length of the box represent?
Mean
Standard deviation
Interquartile range
Range
