Please solve The aquarium at Sea Critters Depot contains 140 fish. Eighty of the
ID: 3202601 • Letter: P
Question
Please solve The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green sword tails (44 female and 36 male) and 60 are orange swordtails (36 female and 24 males.). A fish is randomly captured from the aquarium: What is the probability the selected fish is a green swordtail? What is the probability the selected fish is male? What is the probability the selected fish is a male green swordtail? What is the probability the selected fish is either a male or a green swordtail? A National Park Service survey of visitors to the Rocky Mountain region revealed that 50% visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. What is the probability a vacationer will visit at least one of these attractions? What is the probability .35 called? Are the events mutually exclusive? Explain.Explanation / Answer
Solution :-
I am not sure which a, b and c parts were you asking for so I am working for both the questions.
21.
a). The desired outcome is green swordtail.
There are 80 of those, in a total of 140.
The probability is therefore, 80/140 = 0.5714 or 57.14%
b). The desired outcome is a male fish.
There are 36 male (green swordfish) and 24 males (orange swordfish), so there is a total of 60 males, in a total of 140.
The probability is therefore 60/140 = 0.4286 or 42.86%
c). The desired outcome is BOTH MALE AND GREEN.
There are 36 male green fish, out of 140.
Probability is 36/140 =0.2571 or 25.71%
d). The desired outcome is EITHER male OR green swordtail.
There are 80 green fish, and there are 60 male in total. However, we are double counting, because we are considering "male green" in both of these numbers, so we actually only have 80+60-36= 104 male OR green fish, out of 140.
So the probability is 104/140 = 0.7429
22.
a) P(A or B) = P(A) + P(B) - P(A and B)
Where, P(A) = visit Yellowstone Park
and P(B) = visit the Tetons
P(A and B) = visits both
(0.5 + 0.4) - 0.35 = 0.55 or 55%
b) 0.35 is Joint Occurence as the question reads 35% is the probability that visits both.
c) They are not mutually exclusive. They can both happen together, a person who is visiting Yellowstone park can visit Tetons as well.