Answer:
14. 1/5
16. 1330 km
Step-by-step explanation:
14. 1/5
P(girl) = 3/5. This information is clear.
P(walk | girl) = 1/3. The | sign means "given;" given that the person is a girl, we know that there is a 1/3 chance she walks to school.
This question wants to know what proportion of the class is both a girl and walks to school; because of the use of the word and, we know this is the intersection of two events, symbolized ⋂.
The formula for intersection is P(A ⋂ B) = P(A) * P(A|B).
P(girl ⋂ walk) = P(girl) * P(walk | girl)
= 3/5 * 1/3 = 3/15 = 1/5
16. 1330 km
So let's represent these with variables.
From Winnipeg to Regina is 570 km, so WR = 570.
From Winnipeg to Calgary is 2 1/3 times WR, so WC = 2 1/3 * WR.
We can just use substitution to combine these two equations.
WC = 2 1/3 * WR
WC = 2 1/3 * 570 = 1330 km
