A biologist has determined that a particular osprey has a 70% chance of catching a fish on any given day. Carry out a simulation of 20 trials using the random number table below to find the probability that the osprey will actually catch a fish on all of the next three days. Explain your method. 945 025 354 793 236 106 746 981 105 012 832 180 250 871 835 793 726 864 496 947 (1 point) Responses Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 70%. Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 70%. Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 65%. Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 65%. Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%. Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%. Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 7%.
To simulate the osprey catching a fish on all of the next three days, we will use the random number table provided.
We will assign a "success" (catching a fish) to the numbers 0-6 and a "failure" (not catching a fish) to the numbers 7-9.
Using the first three digits from the table (945), we have a "success" on day 1 (9), a "success" on day 2 (4), and a "success" on day 3 (5).
Continuing this process for all 20 trials, we can then calculate the probability of the osprey catching a fish on all three days.
Based on the simulation, the probability of the osprey catching a fish on all of the next three days is approximately 35%.