Answer:
(a) Hypergeometric distribution
(b) 0.785384...
Step-by-step explanation:
(a) looking at the question, we see that , suppose Evans studied s key terms, this implies that he has not studied 100 - s key terms. Suppose
if X = k, then k out of the s key terms he had studied appeared. But 10 - k out of 100 - s key terms he hasn't studied appeared. Thus X is an Hypergeometric distribution, X~HGeom(s, 100 - s, 10) with PMF:
For this case we have to:
x: Let the variable representing the number of people to travel in the group
y: Let the variable representing the number of miles traveled.
If friends only have $22 then we have the following inequality:
Now, if there are three people in the group we have that
The taxi can travel a maximum of 19.33 miles.
On the other hand, if the group wants to travel 10 miles then we have to y = 10.
Thus, they could travel a maximum of 5 people.
ANswer:
Traveling 3 people, the taxi can travel a maximum of 19.33 miles
Traveling 10 miles, a maximum of 5 people can travel