7 yellow, 5 green, and 3 blue party hats...15 in total
P(yellow party hat) = 7/15
without replacement
P(yellow hat) = 6/14
P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%
The numerical variables in this scenario include:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
In detail:
A method to distinguish quantitative from qualitative variables is assessing if mathematical calculations on these variables are relevant.
When it is applicable, it indicates a quantitative variable.
For instance, even though binary variables can be expressed as 0 and 1, they are still considered qualitative variables.
The numerical variables in this case are:
A. Speed
D. GForce
E. Height
G. Duration
H. Numinversions
J. Length
They will all be expressed in numerical terms where mathematical operations are meaningful.
The likelihood of answering each question correctly stands at 1/4, given that there is 1 correct answer out of 4 choices. Therefore, the probability of answering 15 questions correctly is computed as (1/4)^15 = 1/1073741824.
