WIITH RATI
Score 21/27
Which of the following is a property of binomial distributions?
All of the observations made are dependent of each other.
There are exactly four possible outcomes for each trial.
The expected value is equal to the number of successes in the experiment.
The variable of interest is the total number of successes or failures for a given number of observations.
RATIONALE
Recall that for the binomial distribution we are concerned with an event occurring (successes) or not occurring
(failures) in a given number of trails (n).
, STAT 200: SOPHIA __ INTRO TO STATS Q & A
WIITH RATI
CONCEPT
Binomial
Distribution 2
A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes
down by magazine and age group.
Age Below 40 Age 40 and Above
The National 104 200
Journal
Newsday 120 230
The Month 240 106
If a survey is selected at random, what is the probability that the person voted for "Newsday" and is also age
40 or older? Answer choices are rounded to the hundredths place.
0.34
0.54
0.23
, STAT 200: SOPHIA __ INTRO TO STATS Q & A
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0.66
RATIONALE
If we want the probability of people who voted for "Newsday" and are also age 40 and over, we just need to look
at the box that is associated with both categories, or 230. To calculate the probability, we can use the following
formula:
, STAT 200: SOPHIA __ INTRO TO STATS Q & A
WIITH RATI
CONCEPT
Two-Way
Tables/Contingency
Tables 3
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a
King of clubs or an Ace of clubs.
Choose the correct probability of drawing a King of clubs or an Ace of clubs. Answer choices are in the
form of a percentage, rounded to the nearest whole number.
8%
4%
2%
6%
RATIONALE
Since the two events, drawing a King of Clubs and drawing an Ace of Clubs, are non-overlapping, we can use the
following formula: