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Mathematics, 19.05.2021 01:00 LouiseKane1080

GIVING 100 POINTS TO WHOEVER CAN ANSWER ALL OF IT I KNOW ITS A LOT BUT I NEED HELP AND THE SCHOOL YEARS ALMOST OVER Probability and Likelihood
A team of scientists is studying the animals at a nature reserve. They capture the animals, mark them so they can identify each animal, and then release them back into the park. The table gives the number of animals they’ve identified. Use this information to complete the two tasks that follow.

Animal Total in Park Number Marked
elk 5,625 225
wolf 928 232
cougar 865 173
bear 1,940 679
mountain goat 328 164
deer 350 105
moose 215 86

Part A
What is the probability of the next elk caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage.

Part B
Describe the likelihood of the next elk caught being unmarked.

Part C
Describe a simulation that you can use to model this situation.

Part D
What is the probability of the next wolf caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage.

Part E
Describe the likelihood of the next wolf caught being unmarked.

Part F
Describe a simulation that you can use to model this situation. The simulation should be different from the one in part C.

Part G
In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is 1/2 x 1/2=1/4 . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?

Part H
Describe the likelihood that the next cougar and bear caught are both unmarked.

Part I
Describe a simulation that you can use to model this event.

Part J
Using the method described in part G, what is the probability that the next mountain goat, deer, and moose caught are all unmarked?

Part K
Describe the likelihood that the next mountain goat, deer, and moose caught are all unmarked.

Part L
Describe a simulation that you can use to model this event. Your simulation should be different from the one in part I.

Dr. Tyler’s team is in charge of marking the hooved animals. The table shows the data collected on all the marked hooved animals.

Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28

Part A
In terms of the number of marked elk, what is the relative frequency of male elk, female elk, adult elk, and baby elk? Write your answers as simplified fractions.

Part B
Based on the data, how many male, female, adult, and baby elk do you predict are in the park?

Part C
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.

Part D
From this data, how many male, female, adult, and baby mountain goats do you predict are in the park?

Part E
In terms of the number of marked deer, what is the relative frequency of male deer, female deer, adult deer, and baby deer? Write your answers as simplified fractions.

Part F
From your answers in part E, how many male, female, adult, and baby deer do you predict are in the park?

Part G
In terms of the number of moose, what is the relative frequency of male moose, female moose, adult moose, and baby moose? Write your answers as simplified fractions.

Part H
From this data, how many male, female, adult, and baby moose do you predict are in the park?

Part I
Which of the four hooved animal species in the reserve would you predict has the most babies?

Part J
Which hooved animal species would you predict has the fewest males in the reserve?

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Answers: 1

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