QUESTION 12

If an experiment with a random outcome is repeated a LARGE OR SMALLL number of times, the empirical probability of an event is likely to be close to the true probability due to the THE LAW OF LARGE NUMBER OR THE CENTRAL LIMIT THEOREM

If an experiment with a random outcome is repeated a [Select] empirical probability of an event is likely to be close to the true probability due to the [Select] number of times, the So, if your friend decides to roll a fair 6-sided dice repeatedly to analyze whether the true probability of rolling a 4 is 1/6, you would advice your friend to [ [Select] to ensure their probability of rolling a 4 is very close to 1/6.

So, if your friend decides to roll a fair 6-sided dice repeatedly to analyze whether the true probability of rolling a 4 is 1/6, you would advice your friend to [Select] to ensure their probability of rolling a 4 is very roll the dice at least 100 times roll the dice once roll the dice 10 times close to 1/6.

QUESTION 13

An elementary school is assessing how many activities in which a parent is involved. The table shows the number of activities a parent of a K-5th grade student is involved in.

Number of Activities	Probability
0	0.035
1	0.074
2	0.197
3	0.320
4	0.374

a) What is the variable of interest? [ Select ] ["Whether or not a parent of a K-5th grade student is involved in activities", "The number of activities a parent of a K-5th grade student is involved in", "The type of activities a parent of a K-5th grade student is involved in"]

b) Is this variable numerical or categorical? [ Select ] ["Numerical", "Categorial"]

c) Is this variable discrete or continuous? [ Select ] ["Discrete", "Continuous"]

d) To verify this is a valid probability distribution, you need [ Select ] ["both the sum of all the probabilities to equal 1 and all probabilities to be between 0.035 and 0.374.", "just all probabilities to be between 0 and 1.", "just the sum of all the probabilities to equal 1.", "both the sum of all the probabilities to equal 1 and all probabilities to be between 0 and 1.", "just all probabilities to be between 0.035 and 0.374.."]

Question 9

The figure shows side-by-side box plots of the miles per gallon by vehicle origin.