Applied Probability and Statistics revision questions with
accurate answers. Hard work pays champ !!
Theoretical Probability - Correct Answers-Probability based on comparing the number of
possible favorable outcomes to the number of total possible outcomes
Empirical probability - Correct Answers-..., involves conducting an experiment to observe the
frequency with which an event occurs
Relative Frequency - Correct Answers-A ratio that compares the frequency of each category to
the total. Number of times the event occurs/total number of Trials
Probability Formula - Correct Answers-number of favorable outcomes/number of possible
outcomes
addition rule of probability - Correct Answers-P(A or B) = P(A) + P(B) - P(A and B) ("or" means
add)
What is the probability that a 10-sided fair die shows a multiple of 3 or 10? - Correct Answers-
2/5
You roll two six-sided dice. What is the probability of rolling a sum less than 5 or greater than
10 - Correct Answers-The answer is 1/4. There are 6 results less than 5 (rolling 1, 1; 1, 2; 1, 3; 2,
1; 2, 2; 3, 1) and 3 results greater than 10 (rolling 5, 6; 6, 5; 6, 6). The probability is
6/36+3/36=9/36=1/4
multiplication rule for independent events (and rule) - Correct Answers-P(A and B) = P(A) x P(B)
the probability of rolling triple ones when rolling 3 dice - Correct Answers-1/6 × 1/6 × 1/6 =
1/216
Empirical Rule (68-95-99.7) Rule - Correct Answers-states that, in a normal distribution, about
68% of the terms are within one standard deviation of the mean, about 95% are within two
standard deviations, and about 99.7% are within three standard deviations
Histogram (relative frequency histogram) - Correct Answers-Uses adjacent bars to show the
distribution of a quantitative variable. Each bar represents the frequency (or relative frequency)
of values falling in each bin.
, mean - Correct Answers-average
Median - Correct Answers-Middle number
Mode - Correct Answers-the most frequently occurring score(s) in a distribution
pie chart - Correct Answers-A graphical display of categorical data using a "pie"; each category
is represented as a slice where the size of the slice is proportional to the percentage of data in
that category
bar chart - Correct Answers-A form of graph in which numeric values are represented by
horizontal or vertical rectangles.
relative frequency - Correct Answers-the fraction or percent of the time that an event occurs in
an experiment
Dot Plot - Correct Answers-a graphical device that summarizes data by the number of dots
above each data value on the horizontal axis / quantitative used for smaller sets and outliers
stem plot (also called stem and leaf plot) - Correct Answers-A graphical representation of a
quantitative data set. Leading values of each data point are presented as stems and second
digits are given as leaves.
box plot - Correct Answers-a graphic way of showing a summary of data using the median,
quartiles, and extremes of the data
symmetric distribution - Correct Answers-the right and left sides of the histogram are
approximately mirror images of each other
skewed left - Correct Answers-A skewed distribution with a tail that stretches left, toward the
smaller values.
skewed right - Correct Answers-the tail to the right of the peak is longer than the tail to the left
of the peak
uniform distribution - Correct Answers-the frequency of each value of the variable is evenly
spread out across the values of the variable
bimodal distribution - Correct Answers-a frequency distribution having two different values that
accurate answers. Hard work pays champ !!
Theoretical Probability - Correct Answers-Probability based on comparing the number of
possible favorable outcomes to the number of total possible outcomes
Empirical probability - Correct Answers-..., involves conducting an experiment to observe the
frequency with which an event occurs
Relative Frequency - Correct Answers-A ratio that compares the frequency of each category to
the total. Number of times the event occurs/total number of Trials
Probability Formula - Correct Answers-number of favorable outcomes/number of possible
outcomes
addition rule of probability - Correct Answers-P(A or B) = P(A) + P(B) - P(A and B) ("or" means
add)
What is the probability that a 10-sided fair die shows a multiple of 3 or 10? - Correct Answers-
2/5
You roll two six-sided dice. What is the probability of rolling a sum less than 5 or greater than
10 - Correct Answers-The answer is 1/4. There are 6 results less than 5 (rolling 1, 1; 1, 2; 1, 3; 2,
1; 2, 2; 3, 1) and 3 results greater than 10 (rolling 5, 6; 6, 5; 6, 6). The probability is
6/36+3/36=9/36=1/4
multiplication rule for independent events (and rule) - Correct Answers-P(A and B) = P(A) x P(B)
the probability of rolling triple ones when rolling 3 dice - Correct Answers-1/6 × 1/6 × 1/6 =
1/216
Empirical Rule (68-95-99.7) Rule - Correct Answers-states that, in a normal distribution, about
68% of the terms are within one standard deviation of the mean, about 95% are within two
standard deviations, and about 99.7% are within three standard deviations
Histogram (relative frequency histogram) - Correct Answers-Uses adjacent bars to show the
distribution of a quantitative variable. Each bar represents the frequency (or relative frequency)
of values falling in each bin.
, mean - Correct Answers-average
Median - Correct Answers-Middle number
Mode - Correct Answers-the most frequently occurring score(s) in a distribution
pie chart - Correct Answers-A graphical display of categorical data using a "pie"; each category
is represented as a slice where the size of the slice is proportional to the percentage of data in
that category
bar chart - Correct Answers-A form of graph in which numeric values are represented by
horizontal or vertical rectangles.
relative frequency - Correct Answers-the fraction or percent of the time that an event occurs in
an experiment
Dot Plot - Correct Answers-a graphical device that summarizes data by the number of dots
above each data value on the horizontal axis / quantitative used for smaller sets and outliers
stem plot (also called stem and leaf plot) - Correct Answers-A graphical representation of a
quantitative data set. Leading values of each data point are presented as stems and second
digits are given as leaves.
box plot - Correct Answers-a graphic way of showing a summary of data using the median,
quartiles, and extremes of the data
symmetric distribution - Correct Answers-the right and left sides of the histogram are
approximately mirror images of each other
skewed left - Correct Answers-A skewed distribution with a tail that stretches left, toward the
smaller values.
skewed right - Correct Answers-the tail to the right of the peak is longer than the tail to the left
of the peak
uniform distribution - Correct Answers-the frequency of each value of the variable is evenly
spread out across the values of the variable
bimodal distribution - Correct Answers-a frequency distribution having two different values that
