FINAL EXAM 2026 COMPREHENSIVE STUDY
AND ANSWER GUIDE
◉ You are 63" tall and the family tree averages 67" with a standard
deviation of 2". What is your z-score? Answer: (63-67)/2 = -2 You
are 2 standard deviations shorter than the family tree.
◉ Which measure lets you measure your height compared to your
maternal family tree and your height compared to your paternal
family tree? Answer: z-scores let us measure two samples by putting
them to the same scale.
◉ There are four shopping carts available and one has a broken
wheel. What is your probability of selecting the cart with the broken
wheel? Answer: 25% (1/4 = 0.25)
◉ There is a 20% of parking close to the door and a 30% chance of
getting the shopping cart with a squeaky wheel. How do we
calculated the probability of both events occurring? Answer:
Multiply Key Words: AND, ALL, BOTH
◉ There is a 20% of parking close to the door and a 30% chance of
getting the shopping cart with a squeaky wheel. How do we
,calculated the probability of either event occurring? Answer:
Addition Key Words: OR, EITHER
◉ Multiplying two events calculates an ____________ Answer:
Intersection
◉ Adding two events calculates a _______________ Answer: Union
◉ The grocer is running a 10 for $10 special on cans of soup. You can
mix and match the 5 different flavors of soup. You decide to
purchase 10 cans. What can we use to count all the possible
outcomes of flavors picked? Answer: Combination
◉ There is a 90% chance you will have to wait in line for more than
6 minutes to check out at the grocer. What is the complement?
Answer: 10%. If there is a 90% chance of yes, then there is a 10%
chance of no. 90% + 10% = 100%
◉ 50% chance it will rain. There is a 20% chance you park in the
garage in the rain and a 60% chance you park there if it is not
raining. Given you are parked in the garage, what is the probability it
is raining? Which probability technique applies? Answer: Bayes
◉ You conduct a quick survey asking friends to rate your new
website on a scale of 1 - 10. Which graph will show how the
, responses are distributed? Answer: Histogram. Keyword:
Distribution (How many people answered 1, 2, 3...... NOTE: The
histogram is a bar chart
◉ You have the number of customers that visit your website by
clicking on a promotion email. Which graph can show you if sales
are correlated to the number of promotional emails each week?
Answer: Scatter Diagram Keyword: Correlation or Relationship
◉ A relationship is stronger when r is closer to what number?
Answer: 1 (100%)
◉ A relationship is weakest when r is closer to what number?
Answer: 0
◉ As sales increase, estimated delivery times decrease. This
relationship is _______ Answer: Negative
◉ As the age of the customer increases, the credit score increases.
This relationship is_______ Answer: Positive
◉ Which tool helps us collect and organize the data for a histogram?
Answer: Check sheet